expq3 (problem 3.4.2)

Time bar (total: 23.9s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze188.0ms (0.8%)

Memory
21.2MiB live, 294.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.4%74.6%0%0%0%0
0%0%25.4%74.6%0%0%0%1
0%0%25.4%74.6%0%0%0%2
0%0%25.4%74.6%0%0%0%3
0%0%22.2%74.6%0%3.2%0%4
0%0%20.6%74.6%0%4.8%0%5
0%0%18.3%74.6%0%7.1%0%6
0%0%10.7%74.6%0%14.7%0%7
0%0%9.3%74.6%0%16.1%0%8
0%0%8.2%74.6%0%17.2%0%9
0%0%5.7%74.6%0%19.7%0%10
0%0%5%74.6%0%20.4%0%11
0%0%4.4%74.6%0%21%0%12
Compiler

Compiled 52 to 27 computations (48.1% saved)

sample20.8s (87.2%)

Memory
332.4MiB live, 19 722.8MiB allocated
Samples
13.8s62 787×0invalid
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 11.8s
ival-mult: 3.7s (31% of total)
ival-expm1: 1.9s (16% of total)
const: 1.5s (12.7% of total)
ival-<=: 1.1s (9.3% of total)
ival-fabs: 969.0ms (8.2% of total)
ival-fmin: 940.0ms (8% of total)
ival-add: 815.0ms (6.9% of total)
ival-div: 641.0ms (5.4% of total)
ival-and: 228.0ms (1.9% of total)
exact: 52.0ms (0.4% of total)
ival-assert: 27.0ms (0.2% of total)
Bogosity

explain251.0ms (1.1%)

Memory
-31.0MiB live, 350.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2270-4(5.719792985709178e-56 1.8399709117647295e-72 2.924246643634667e-94)(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
1400-0-(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
1120-0-(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
1040-0-(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
00-0-(+.f64 a b)
00-0-(*.f64 b eps)
00-0-(exp.f64 (*.f64 a eps))
00-0-a
00-0-#s(literal 1 binary64)
00-0-(*.f64 a eps)
00-0-(exp.f64 (*.f64 (+.f64 a b) eps))
00-0-eps
00-0-(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
00-0-(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
00-0-(*.f64 (+.f64 a b) eps)
00-0-(exp.f64 (*.f64 b eps))
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))u/u2040
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))underflow204
(*.f64 (+.f64 a b) eps)underflow116
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))underflow116
(*.f64 b eps)underflow144
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))underflow152
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))underflow144
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))underflow223
(*.f64 a eps)underflow152
-.f64(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))cancellation1400
-.f64(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))cancellation1120
-.f64(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))cancellation1040
/.f64(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))n/u190
(*.f64 b eps)underflow144
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))underflow152
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))underflow144
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))underflow223
(*.f64 a eps)underflow152
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1116
397
443
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms512×0valid
Compiler

Compiled 226 to 55 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 16.0ms (33.6% of total)
ival-exp: 10.0ms (21% of total)
ival-add: 8.0ms (16.8% of total)
ival-expm1: 8.0ms (16.8% of total)
ival-div: 5.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess202.0ms (0.8%)

Memory
8.8MiB live, 186.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082235
1272233
2679233
32137229
01724
03024
16024
212924
332224
4127424
0864318
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))
Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

series36.0ms (0.2%)

Memory
16.4MiB live, 59.2MiB allocated
Counts
17 → 110
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)
Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(exp (* b eps))
(+ (exp (* b eps)) (* a (* eps (exp (* b eps)))))
(+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps))))))
(+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps))))))
(* b eps)
(+ (* a eps) (* b eps))
b
(+ a b)
a
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
1
(+ 1 (* a eps))
(+ 1 (* a (+ eps (* 1/2 (* a (pow eps 2))))))
(+ 1 (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(exp (* eps (+ a b)))
(* a (+ eps (/ (* b eps) a)))
(* a (+ 1 (/ b a)))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(- (exp (* a eps)) 1)
(exp (* a eps))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(exp (* eps (- b (* -1 a))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(* eps (- (exp (* a eps)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(+ (exp (* a eps)) (* b (* eps (exp (* a eps)))))
(+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps))))))
(+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps))))))
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(+ 1 (* b eps))
(+ 1 (* b (+ eps (* 1/2 (* b (pow eps 2))))))
(+ 1 (* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2)))))))
(* b (+ eps (/ (* a eps) b)))
(* b (+ 1 (/ a b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(exp (* eps (- a (* -1 b))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
eps
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(+ 1 (* eps (+ a b)))
(+ 1 (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))))
(+ 1 (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(+ 1 (* eps (+ a (* 1/2 (* (pow a 2) eps)))))
(+ 1 (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(+ 1 (* eps (+ b (* 1/2 (* (pow b 2) eps)))))
(+ 1 (* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2)))))))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms
eps
@0
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms
eps
@-inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
4.0ms
b
@0
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))
3.0ms
a
@0
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (* eps (- (exp (* (+ a b) eps)) 1)) eps (- (exp (* (+ a b) eps)) 1) (exp (* (+ a b) eps)) (* (+ a b) eps) (+ a b) a b 1 (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)) (- (exp (* a eps)) 1) (exp (* a eps)) (* a eps) (- (exp (* b eps)) 1) (exp (* b eps)) (* b eps))

simplify202.0ms (0.8%)

Memory
17.9MiB live, 211.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04812970
118082904
277712896
085012566
Stop Event
iter limit
node limit
Counts
110 → 107
Calls
Call 1
Inputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(exp (* b eps))
(+ (exp (* b eps)) (* a (* eps (exp (* b eps)))))
(+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps))))))
(+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps))))))
(* b eps)
(+ (* a eps) (* b eps))
b
(+ a b)
a
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
1
(+ 1 (* a eps))
(+ 1 (* a (+ eps (* 1/2 (* a (pow eps 2))))))
(+ 1 (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2)))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(exp (* eps (+ a b)))
(* a (+ eps (/ (* b eps) a)))
(* a (+ 1 (/ b a)))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(- (exp (* a eps)) 1)
(exp (* a eps))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(exp (* eps (- b (* -1 a))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ 1 b)
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(* eps (- (exp (* a eps)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(+ (exp (* a eps)) (* b (* eps (exp (* a eps)))))
(+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps))))))
(+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps))))))
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(+ 1 (* b eps))
(+ 1 (* b (+ eps (* 1/2 (* b (pow eps 2))))))
(+ 1 (* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2)))))))
(* b (+ eps (/ (* a eps) b)))
(* b (+ 1 (/ a b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(exp (* eps (- a (* -1 b))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
eps
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(+ 1 (* eps (+ a b)))
(+ 1 (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))))
(+ 1 (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(+ 1 (* eps (+ a (* 1/2 (* (pow a 2) eps)))))
(+ 1 (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(+ 1 (* eps (+ b (* 1/2 (* (pow b 2) eps)))))
(+ 1 (* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2)))))))
Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) a (-.f64 (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) a #s(literal 1 binary64)) a)
(* eps (- (exp (* b eps)) 1))
(*.f64 (expm1.f64 (*.f64 b eps)) eps)
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(fma.f64 (*.f64 (*.f64 a eps) eps) (pow.f64 (exp.f64 b) eps) (*.f64 (expm1.f64 (*.f64 b eps)) eps))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
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(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b)) eps (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b)) (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))))) a) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (/.f64 (/.f64 (+.f64 b a) a) a)) b)) b)) eps (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b))) eps (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b)))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(* (pow eps 2) (+ a b))
(*.f64 (*.f64 (+.f64 b a) eps) eps)
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) eps) #s(literal 1/2 binary64) (+.f64 b a)) eps) eps)
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps) eps)
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps) eps)
eps
(* eps (+ a b))
(*.f64 (+.f64 b a) eps)
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) eps) #s(literal 1/2 binary64) (+.f64 b a)) eps)
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps)
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps)
(+ 1 (* eps (+ a b)))
(fma.f64 (+.f64 b a) eps #s(literal 1 binary64))
(+ 1 (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2)))))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) eps) #s(literal 1/2 binary64) (+.f64 b a)) eps #s(literal 1 binary64))
(+ 1 (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps #s(literal 1 binary64))
(* a (* b (pow eps 2)))
(*.f64 (*.f64 (*.f64 eps eps) b) a)
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) eps (*.f64 b a)) eps) eps)
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) eps)) eps (*.f64 b a)) eps) eps)
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) b) b (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) eps))) eps)) eps (*.f64 b a)) eps) eps)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps)
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps)
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps)
(+ 1 (* eps (+ a (* 1/2 (* (pow a 2) eps)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps #s(literal 1 binary64))
(+ 1 (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps #s(literal 1 binary64))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) eps) #s(literal 1/2 binary64) b) eps)
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps)
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps)
(+ 1 (* eps (+ b (* 1/2 (* (pow b 2) eps)))))
(fma.f64 (fma.f64 (*.f64 (*.f64 b b) eps) #s(literal 1/2 binary64) b) eps #s(literal 1 binary64))
(+ 1 (* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps #s(literal 1 binary64))

rewrite247.0ms (1%)

Memory
-31.0MiB live, 252.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
03099
110999
276499
0818381
Stop Event
iter limit
node limit
iter limit
Counts
17 → 502
Calls
Call 1
Inputs
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))
eps
(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 (+.f64 a b) eps))
(*.f64 (+.f64 a b) eps)
(+.f64 a b)
a
b
#s(literal 1 binary64)
(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 a eps))
(*.f64 a eps)
(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))
(exp.f64 (*.f64 b eps))
(*.f64 b eps)
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 a eps))))) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 b eps))) (/.f64 eps (expm1.f64 (*.f64 (*.f64 a eps) #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) a)) (pow.f64 (exp.f64 eps) a)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 b eps))))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 eps (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (*.f64 a eps)))))
(*.f64 (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))) (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))) (/.f64 eps (neg.f64 (expm1.f64 (*.f64 a eps)))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))) (/.f64 eps (neg.f64 (expm1.f64 (*.f64 b eps)))))
(*.f64 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 a eps)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 eps (neg.f64 (expm1.f64 (*.f64 b eps)))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 b a) eps))) (expm1.f64 (*.f64 a eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (*.f64 a eps)))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 b eps))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (neg.f64 (expm1.f64 (*.f64 b eps)))) (/.f64 (neg.f64 eps) (expm1.f64 (*.f64 a eps))))
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eps
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(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))) (-.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 b eps))))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 eps) b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 b eps)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 eps) b) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 b eps))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 b eps))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 eps)) b))
(expm1.f64 (*.f64 b eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))
(+.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64))) (pow.f64 (exp.f64 eps) (/.f64 b #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 eps) b))
(pow.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 eps) b)
(pow.f64 (pow.f64 (exp.f64 b) #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 b) (*.f64 #s(literal 2 binary64) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 b) (+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 b) eps)
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 b eps))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 b eps))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 eps) b))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (exp.f64 (*.f64 (neg.f64 eps) b))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 eps) b)))
(fma.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64) (*.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 b eps)) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 b eps))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 b eps)) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 b eps))))
(sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 eps) b))) (/.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 eps) b))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 eps) b)))
(fabs.f64 (pow.f64 (exp.f64 eps) b))
(+.f64 (*.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 b eps))) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 b eps))))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 b eps))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 b eps))))
(+.f64 (*.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))))
(+.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))
(+.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) b))
(exp.f64 (*.f64 b eps))
(*.f64 b (log.f64 (exp.f64 eps)))
(*.f64 b eps)
(*.f64 eps b)
(fma.f64 b (log.f64 (exp.f64 eps)) #s(literal 0 binary64))
(fma.f64 b eps #s(literal 0 binary64))
(fma.f64 eps b #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) (cosh.f64 (*.f64 b eps)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (*.f64 (neg.f64 eps) b))))
(+.f64 (log.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 b eps))
(+.f64 (*.f64 b eps) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 eps) b))

eval58.0ms (0.2%)

Memory
44.3MiB live, 88.4MiB allocated
Compiler

Compiled 24 500 to 2 908 computations (88.1% saved)

prune15.0ms (0.1%)

Memory
-3.6MiB live, 39.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5997606
Fresh000
Picked101
Done000
Total6007607
Accuracy
100.0%
Counts
607 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
29.8%
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
17.2%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
38.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
45.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
53.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Compiler

Compiled 506 to 334 computations (34% saved)

simplify0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated

series79.0ms (0.3%)

Memory
-11.5MiB live, 133.4MiB allocated
Counts
40 → 163
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) b)
(+.f64 b a)
b
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
(pow.f64 (+.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)))
(*.f64 (+.f64 b a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))
(*.f64 a a)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
(*.f64 (*.f64 (*.f64 a a) b) b)
(*.f64 (*.f64 a a) b)
eps
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
b
(+ a b)
a
0
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(* 1/2 (* a (pow b 3)))
(* a (+ (* 1/2 (pow b 3)) (* a (pow b 2))))
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))
(* 1/2 b)
(+ (* 1/2 a) (* 1/2 b))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(pow a 2)
(* (pow a 2) (pow b 2))
(* (pow a 2) b)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(* b eps)
(+ (* a eps) (* b eps))
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ 1 (/ b a)))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 1/2 (* (pow a 3) b))
(* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a)))
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))
(* 1/2 a)
(* a (+ 1/2 (* 1/2 (/ b a))))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(* a (+ eps (/ (* b eps) a)))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(- (exp (* a eps)) 1)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))
(* -1 (* a (- (* -1/2 (/ b a)) 1/2)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ 1/2 b)
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b)))
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))
(* b (+ (* a b) (pow a 2)))
(* eps (- (exp (* a eps)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(* b (+ 1 (/ a b)))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b)))
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))
(* b (+ 1/2 (* 1/2 (/ a b))))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* b (+ eps (/ (* a eps) b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))
(* -1 (* b (- (* -1/2 (/ a b)) 1/2)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
eps
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
a
@-inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) b a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ 1/2 b) 1/2 (/ (pow (+ b a) 2) a) (pow (+ b a) 2) 2 (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b)) (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a)) (* a a) (* (* b b) a) (* b b) (* (* (* a a) b) b) (* (* a a) b) eps (+ (/ 1 b) (/ 1 a)) (/ (* (- (exp (* (+ b a) eps)) 1) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (* (- (exp (* (+ b a) eps)) 1) eps) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps))
12.0ms
a
@inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) b a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ 1/2 b) 1/2 (/ (pow (+ b a) 2) a) (pow (+ b a) 2) 2 (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b)) (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a)) (* a a) (* (* b b) a) (* b b) (* (* (* a a) b) b) (* (* a a) b) eps (+ (/ 1 b) (/ 1 a)) (/ (* (- (exp (* (+ b a) eps)) 1) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (* (- (exp (* (+ b a) eps)) 1) eps) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps))
10.0ms
b
@0
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) b a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ 1/2 b) 1/2 (/ (pow (+ b a) 2) a) (pow (+ b a) 2) 2 (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b)) (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a)) (* a a) (* (* b b) a) (* b b) (* (* (* a a) b) b) (* (* a a) b) eps (+ (/ 1 b) (/ 1 a)) (/ (* (- (exp (* (+ b a) eps)) 1) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (* (- (exp (* (+ b a) eps)) 1) eps) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps))
9.0ms
b
@-inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) b a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ 1/2 b) 1/2 (/ (pow (+ b a) 2) a) (pow (+ b a) 2) 2 (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b)) (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a)) (* a a) (* (* b b) a) (* b b) (* (* (* a a) b) b) (* (* a a) b) eps (+ (/ 1 b) (/ 1 a)) (/ (* (- (exp (* (+ b a) eps)) 1) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (* (- (exp (* (+ b a) eps)) 1) eps) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps))
8.0ms
b
@inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (/ (+ b a) b) (+ b a) b a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 a) 1 (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 b) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (+ (* (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) eps) (+ (/ 1 b) (/ 1 a))) (- (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b))) (* (/ 1/2 b) (/ (pow (+ b a) 2) a)) (/ 1/2 b) 1/2 (/ (pow (+ b a) 2) a) (pow (+ b a) 2) 2 (/ (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (* (* a a) b) b)) (* (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a))) (* (+ b a) 1/2) (+ (* (* a a) b) (* (* b b) a)) (* a a) (* (* b b) a) (* b b) (* (* (* a a) b) b) (* (* a a) b) eps (+ (/ 1 b) (/ 1 a)) (/ (* (- (exp (* (+ b a) eps)) 1) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1))) (* (- (exp (* (+ b a) eps)) 1) eps) (- (exp (* (+ b a) eps)) 1) (* (+ b a) eps) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)) (- (exp (* b eps)) 1) (* b eps) (- (exp (* a eps)) 1) (* a eps))

simplify229.0ms (1%)

Memory
-20.0MiB live, 219.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06803574
125553398
089273068
Stop Event
iter limit
node limit
Counts
163 → 160
Calls
Call 1
Inputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
1
(+ 1 (/ a b))
b
(+ a b)
a
0
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/ (pow b 2) a)
(/ (+ (* 2 (* a b)) (pow b 2)) a)
(/ (+ (* a (+ a (* 2 b))) (pow b 2)) a)
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(* 1/2 (* a (pow b 3)))
(* a (+ (* 1/2 (pow b 3)) (* a (pow b 2))))
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))
(* 1/2 b)
(+ (* 1/2 a) (* 1/2 b))
(* a (pow b 2))
(* a (+ (* a b) (pow b 2)))
(pow a 2)
(* (pow a 2) (pow b 2))
(* (pow a 2) b)
(* eps (- (exp (* b eps)) 1))
(+ (* a (* (pow eps 2) (exp (* b eps)))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* 1/2 (* a (* (pow eps 3) (exp (* b eps))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(+ (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 4) (exp (* b eps))))) (* 1/2 (* (pow eps 3) (exp (* b eps)))))) (* (pow eps 2) (exp (* b eps))))) (* eps (- (exp (* b eps)) 1)))
(- (exp (* b eps)) 1)
(- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)
(- (+ (exp (* b eps)) (* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (exp (* b eps))))) (* 1/2 (* (pow eps 2) (exp (* b eps)))))) (* eps (exp (* b eps)))))) 1)
(* b eps)
(+ (* a eps) (* b eps))
(* a (* eps (- (exp (* b eps)) 1)))
(* a (+ (* 1/2 (* a (* (pow eps 2) (- (exp (* b eps)) 1)))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/6 (* a (* (pow eps 3) (- (exp (* b eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))))) (* eps (- (exp (* b eps)) 1))))
(* a (+ (* a (+ (* 1/2 (* (pow eps 2) (- (exp (* b eps)) 1))) (* a (+ (* 1/24 (* a (* (pow eps 4) (- (exp (* b eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* b eps)) 1))))))) (* eps (- (exp (* b eps)) 1))))
(* a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ 1 (/ b a)))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* a (+ 1 (* 2 (/ b a))))
(* a (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 1/2 (* (pow a 3) b))
(* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a)))
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))
(* 1/2 a)
(* a (+ 1/2 (* 1/2 (/ b a))))
(* (pow a 2) (+ b (/ (pow b 2) a)))
(* eps (- (exp (* eps (+ a b))) 1))
(- (exp (* eps (+ a b))) 1)
(* a (+ eps (/ (* b eps) a)))
(* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))
(- (exp (* a eps)) 1)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* -2 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ (+ (* 2 b) (/ (pow b 2) a)) a)) 1)))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))
(* -1 (* a (- (* -1/2 (/ b a)) 1/2)))
(* eps (- (exp (* eps (- b (* -1 a)))) 1))
(- (exp (* eps (- b (* -1 a)))) 1)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ 1/2 b)
(+ a (* 2 b))
(+ a (* b (+ 2 (/ b a))))
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b)))
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))
(* b (+ (* a b) (pow a 2)))
(* eps (- (exp (* a eps)) 1))
(+ (* b (* (pow eps 2) (exp (* a eps)))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* 1/2 (* b (* (pow eps 3) (exp (* a eps))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(+ (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 4) (exp (* a eps))))) (* 1/2 (* (pow eps 3) (exp (* a eps)))))) (* (pow eps 2) (exp (* a eps))))) (* eps (- (exp (* a eps)) 1)))
(- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)
(- (+ (exp (* a eps)) (* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (exp (* a eps))))) (* 1/2 (* (pow eps 2) (exp (* a eps)))))) (* eps (exp (* a eps)))))) 1)
(* b (* eps (- (exp (* a eps)) 1)))
(* b (+ (* 1/2 (* b (* (pow eps 2) (- (exp (* a eps)) 1)))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/6 (* b (* (pow eps 3) (- (exp (* a eps)) 1)))) (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ (* b (+ (* 1/2 (* (pow eps 2) (- (exp (* a eps)) 1))) (* b (+ (* 1/24 (* b (* (pow eps 4) (- (exp (* a eps)) 1)))) (* 1/6 (* (pow eps 3) (- (exp (* a eps)) 1))))))) (* eps (- (exp (* a eps)) 1))))
(* b (+ eps (* 1/2 (* b (pow eps 2)))))
(* b (+ eps (* b (+ (* 1/6 (* b (pow eps 3))) (* 1/2 (pow eps 2))))))
(* b (+ eps (* b (+ (* 1/2 (pow eps 2)) (* b (+ (* 1/24 (* b (pow eps 4))) (* 1/6 (pow eps 3))))))))
(* b (+ 1 (/ a b)))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (* 2 (/ 1 b))))
(* (pow b 2) (+ (/ 1 a) (+ (* 2 (/ 1 b)) (/ a (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b)))
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))
(* b (+ 1/2 (* 1/2 (/ a b))))
(* (pow b 2) (+ a (/ (pow a 2) b)))
(* b (+ eps (/ (* a eps) b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* (pow b 2) (+ (* -1 (/ (- (* -1 (/ a b)) 2) b)) (/ 1 a)))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))
(* -1 (* b (- (* -1/2 (/ a b)) 1/2)))
(* eps (- (exp (* eps (- a (* -1 b)))) 1))
(- (exp (* eps (- a (* -1 b)))) 1)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (+ (/ 1 a) (/ 1 b)))
eps
(* (pow eps 2) (+ a b))
(* (pow eps 2) (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* (pow eps 2) (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* eps (+ a b))
(* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))
(* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(* a (* b (pow eps 2)))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))
Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
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(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps)
(* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) eps (+.f64 b a)) eps)
(* a (* b (pow eps 2)))
(*.f64 (*.f64 (*.f64 eps eps) b) a)
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b a)) b)) eps (*.f64 b a)) (*.f64 eps eps))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b a) b) a))) eps (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b a)) b))) eps (*.f64 b a)) (*.f64 eps eps))
(* (pow eps 2) (+ (* a b) (* eps (+ (* 1/2 (* a (pow b 2))) (+ (* 1/2 (* (pow a 2) b)) (* eps (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (+ (* 1/4 (* (pow a 2) (pow b 2))) (* eps (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) b) b (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)))) eps))) eps (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a (+.f64 b a)) b))) eps (*.f64 b a)) (*.f64 eps eps))
(* eps (+ b (* 1/2 (* (pow b 2) eps))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) eps) #s(literal 1/2 binary64) b) eps)
(* eps (+ b (* eps (+ (* 1/6 (* (pow b 3) eps)) (* 1/2 (pow b 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps)
(* eps (+ b (* eps (+ (* 1/2 (pow b 2)) (* eps (+ (* 1/24 (* (pow b 4) eps)) (* 1/6 (pow b 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 b b) #s(literal 1/2 binary64))) eps b) eps)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) eps) #s(literal 1/2 binary64) a) eps)
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) eps) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps)
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) eps) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) eps (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) eps a) eps)
(* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) b) (/.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b a)) b) (+.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a)))) eps)
(* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (+ (/ 1 (* a eps)) (/ 1 (* b eps)))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) b) (/.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b a)) b) (+.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a))))) eps)
(* -1 (* eps (+ (* -1 (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2)))))) (* -1 (/ (+ (/ 1 a) (/ 1 b)) eps)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a) b) (/.f64 (*.f64 (*.f64 (*.f64 a (+.f64 b a)) b) (+.f64 b a)) (*.f64 (*.f64 (*.f64 b a) b) a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (neg.f64 eps))))

rewrite198.0ms (0.8%)

Memory
26.9MiB live, 354.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053421
087413
1336397
22755397
08567391
Stop Event
iter limit
node limit
iter limit
Counts
40 → 979
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) b)
(+.f64 b a)
b
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a))
(/.f64 #s(literal 1/2 binary64) b)
#s(literal 1/2 binary64)
(/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)
(pow.f64 (+.f64 b a) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))
(*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)))
(*.f64 (+.f64 b a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))
(*.f64 a a)
(*.f64 (*.f64 b b) a)
(*.f64 b b)
(*.f64 (*.f64 (*.f64 a a) b) b)
(*.f64 (*.f64 a a) b)
eps
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
(*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps)
(expm1.f64 (*.f64 (+.f64 b a) eps))
(*.f64 (+.f64 b a) eps)
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(expm1.f64 (*.f64 b eps))
(*.f64 b eps)
(expm1.f64 (*.f64 a eps))
(*.f64 a eps)
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 (neg.f64 b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 b #s(literal -1 binary64)))) (neg.f64 (*.f64 b (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) b)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 a (neg.f64 b))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (fabs.f64 (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))))) (fabs.f64 (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a)))))
(/.f64 (fabs.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (fabs.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64))))))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (fabs.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 (neg.f64 b) #s(literal 1 binary64)))) (fabs.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 b #s(literal -1 binary64)))) (fabs.f64 (*.f64 b (neg.f64 a))))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (*.f64 b a))
(/.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (*.f64 b a))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 a #s(literal -1 binary64)))) (*.f64 b a))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (fabs.f64 (*.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (fabs.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (fabs.f64 (*.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64)))) (fabs.f64 (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 b a))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b a))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (fabs.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (fabs.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))))
(/.f64 (fabs.f64 (/.f64 (+.f64 b a) (neg.f64 b))) a)
(/.f64 (fabs.f64 (/.f64 (+.f64 b a) b)) a)
(/.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64))) (-.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 (*.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (*.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) (*.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 a b) (*.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -1 binary64))) (*.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 (neg.f64 b) #s(literal 1 binary64))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 b #s(literal -1 binary64))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1 binary64))) (*.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) b))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 a #s(literal -1 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) (*.f64 b a)))
(/.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 a b) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (*.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (*.f64 b a) #s(literal -1 binary64))) (pow.f64 b #s(literal -2 binary64))))
(/.f64 (/.f64 (+.f64 b a) (neg.f64 b)) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (/.f64 (+.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 (*.f64 b a)))
(/.f64 (neg.f64 (+.f64 b a)) (*.f64 (neg.f64 b) a))
(/.f64 (/.f64 (+.f64 b a) b) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (+.f64 b a) b) a)
(/.f64 (+.f64 b a) (fabs.f64 (neg.f64 (*.f64 b a))))
(/.f64 (+.f64 b a) (fabs.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(neg.f64 (/.f64 (/.f64 (+.f64 b a) b) (neg.f64 a)))
(fma.f64 (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (neg.f64 (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 a b) a))
(fma.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1 binary64)))
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b
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a
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(exp.f64 (neg.f64 (log.f64 a)))
#s(literal 1 binary64)
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(exp.f64 (neg.f64 (log.f64 b)))
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#s(literal 2 binary64)
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(+.f64 (*.f64 (+.f64 b a) eps) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 eps) (+.f64 b a)))
(*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b eps)))
(*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b eps)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b eps)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a eps)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a eps)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b eps))) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b eps))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a eps))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a eps))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps)))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a eps)) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))
(/.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps)))) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64))))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64))))) (*.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64))))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))))
(/.f64 (expm1.f64 (*.f64 b (*.f64 #s(literal 2 binary64) eps))) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 b (*.f64 eps #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 eps)) b))
(expm1.f64 (*.f64 b eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 b #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 b b)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) b)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 eps) b) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 b eps)) (-.f64 (sinh.f64 (*.f64 b eps)) #s(literal 1 binary64)))
(*.f64 b (log.f64 (exp.f64 eps)))
(*.f64 b eps)
(*.f64 eps b)
(fma.f64 b (log.f64 (exp.f64 eps)) #s(literal 0 binary64))
(fma.f64 b eps #s(literal 0 binary64))
(fma.f64 eps b #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 b eps)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 b eps)) (sinh.f64 (*.f64 b eps)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 b eps)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 b) (/.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 b eps))
(+.f64 (*.f64 b eps) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 eps) b))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))))
(/.f64 (expm1.f64 (*.f64 a (*.f64 #s(literal 2 binary64) eps))) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 a (*.f64 eps #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 eps)) a))
(expm1.f64 (*.f64 a eps))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 eps) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (+.f64 a a)) #s(literal 1 binary64)) (pow.f64 (exp.f64 eps) a)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 eps) a) #s(literal 1 binary64))
(+.f64 (cosh.f64 (*.f64 a eps)) (-.f64 (sinh.f64 (*.f64 a eps)) #s(literal 1 binary64)))
(*.f64 a (log.f64 (exp.f64 eps)))
(*.f64 a eps)
(*.f64 eps a)
(fma.f64 a (log.f64 (exp.f64 eps)) #s(literal 0 binary64))
(fma.f64 a eps #s(literal 0 binary64))
(fma.f64 eps a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a eps)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a eps)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a eps)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a eps)) (sinh.f64 (*.f64 a eps)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a eps)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a eps))
(+.f64 (*.f64 a eps) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 eps) a))

eval264.0ms (1.1%)

Memory
-0.5MiB live, 328.3MiB allocated
Compiler

Compiled 101 838 to 8 552 computations (91.6% saved)

prune33.0ms (0.1%)

Memory
8.9MiB live, 100.1MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1 70841 712
Fresh202
Picked325
Done000
Total1 71361 719
Accuracy
100.0%
Counts
1 719 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
61.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
26.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
45.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
53.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
Compiler

Compiled 189 to 130 computations (31.2% saved)

simplify0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

series22.0ms (0.1%)

Memory
-20.2MiB live, 37.0MiB allocated
Counts
19 → 33
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(fabs.f64 a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
Outputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
a
(/ 1 (fabs a))
(fabs a)
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(* a (+ 1 (/ b a)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* b (+ 1 (/ a b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
b
@-inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) 1 b (/ 1 a) a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b))
3.0ms
a
@-inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) 1 b (/ 1 a) a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b))
3.0ms
a
@inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) 1 b (/ 1 a) a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b))
2.0ms
a
@0
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) 1 b (/ 1 a) a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b))
2.0ms
b
@inf
((/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (/ (+ b a) b) a) (+ (/ 1 b) (/ 1 a)) (/ 1 b) 1 b (/ 1 a) a (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ 1 (fabs a)) (fabs a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ b a) (* b a)) (+ b a) (* b a) (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/ (+ (/ a b) 1) a) (+ (/ a b) 1) (/ a b))

simplify127.0ms (0.5%)

Memory
29.3MiB live, 159.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181306
16751268
226041260
080611135
Stop Event
iter limit
node limit
Counts
33 → 31
Calls
Call 1
Inputs
(/ 1 a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(/ (+ 1 (/ a b)) a)
a
(/ 1 (fabs a))
(fabs a)
b
(+ a b)
(* a b)
1
(+ 1 (/ a b))
(/ a b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(* a (+ 1 (/ b a)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(/ (+ 1 (/ b a)) b)
(/ (+ a b) b)
(* b (+ 1 (/ a b)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (+ a b) (* a b))
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (+ 1 (* a (- (+ (* a (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (* a (- (+ (* a (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (* a (- (* 1/6 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1))) (* 1/2 eps)))) a)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))))) a (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) a (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 b) eps) (expm1.f64 (*.f64 b eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(/.f64 (/.f64 (+.f64 b a) a) b)
a
(/ 1 (fabs a))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(fabs a)
(fabs.f64 a)
b
(+ a b)
(+.f64 b a)
(* a b)
(*.f64 b a)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(/.f64 (+.f64 b a) b)
(/ a b)
(/.f64 a b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(/.f64 (/.f64 (+.f64 b a) a) b)
(* a (+ 1 (/ b a)))
(fma.f64 (/.f64 b a) a a)
(* a (+ (/ 1 a) (/ 1 b)))
(/.f64 (+.f64 b a) b)
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) #s(literal 1 binary64)))
(/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)
(/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b)
(/ (+ 1 (* b (- (+ (* b (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) b (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(/ (+ 1 (* b (- (+ (* b (- (+ (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (* b (- (* 1/6 (/ (* (pow eps 3) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/24 (pow eps 3)) (+ (* 1/6 (* (pow eps 2) (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) (* 1/2 (* eps (- (* 1/2 (/ (* (pow eps 2) (exp (* a eps))) (- (exp (* a eps)) 1))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps))))))) (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1))) (* 1/2 eps)))) b)
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps))))) b (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps eps))) (*.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) eps)))) b (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(/ (+ 1 (/ b a)) b)
(/.f64 (/.f64 (+.f64 b a) a) b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 a eps))) (/.f64 eps (expm1.f64 (*.f64 b eps))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 b a) a) b)
(+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b)))) eps (/.f64 (/.f64 (+.f64 b a) a) b))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b)))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b)) eps (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b))))) eps (/.f64 (/.f64 (+.f64 b a) a) b))
(+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) (* a b))) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) (* a b))) (* eps (- (* 1/24 (/ (pow (+ a b) 4) (* a b))) (+ (/ (* (+ a b) (+ (* 1/24 (* a (pow b 4))) (+ (* 1/24 (* (pow a 4) b)) (+ (* 1/12 (* (pow a 2) (pow b 3))) (* 1/12 (* (pow a 3) (pow b 2))))))) (* (pow a 2) (pow b 2))) (+ (/ (* (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2))))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/6 (/ (pow (+ a b) 3) (* a b))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b))))) (* a b))))))) (+ (/ (* (+ a b) (+ (* 1/6 (* a (pow b 3))) (+ (* 1/6 (* (pow a 3) b)) (* 1/4 (* (pow a 2) (pow b 2)))))) (* (pow a 2) (pow b 2))) (/ (* (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b))) (- (* 1/2 (/ (pow (+ a b) 2) (* a b))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (* a b)))))) (/ (* (+ a b) (+ (* 1/2 (* a (pow b 2))) (* 1/2 (* (pow a 2) b)))) (* (pow a 2) (pow b 2))))) (+ (/ 1 a) (/ 1 b)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 4 binary64)) a)) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b)))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b)) (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b)))))) a) (/.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) a (*.f64 (pow.f64 a #s(literal 4 binary64)) b)) (*.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) b) b (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) a) a)) #s(literal 1/12 binary64))) (/.f64 (/.f64 (+.f64 b a) a) a)) b)) b)) eps (-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) a)) (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b)))) (/.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (fma.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 b #s(literal 3 binary64)) a (*.f64 (pow.f64 a #s(literal 3 binary64)) b)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) b) b))) a)) b)) b))) eps (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) b) (*.f64 (*.f64 (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a)) #s(literal -1/2 binary64)) (/.f64 (+.f64 b a) (*.f64 (*.f64 (*.f64 a a) b) b))))) eps (/.f64 (/.f64 (+.f64 b a) a) b))

rewrite184.0ms (0.8%)

Memory
-1.6MiB live, 325.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036198
047196
1193196
21432195
08069171
Stop Event
iter limit
node limit
iter limit
Counts
19 → 985
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) b)
#s(literal 1 binary64)
b
(/.f64 #s(literal 1 binary64) a)
a
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
(/.f64 #s(literal 1 binary64) (fabs.f64 a))
(fabs.f64 a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
(/.f64 (+.f64 b a) (*.f64 b a))
(+.f64 b a)
(*.f64 b a)
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a)
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)))
#s(approx (/ (/ (+ b a) b) a) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(*.f64 (/.f64 (/.f64 (+.f64 b a) b) (-.f64 (/.f64 a b) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(*.f64 (/.f64 (+.f64 b a) (-.f64 a b)) (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a))
(*.f64 (/.f64 (+.f64 b a) (-.f64 b a)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a))
(*.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b (-.f64 b a) (*.f64 a a))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 b (-.f64 b a) (*.f64 a a))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(*.f64 (/.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (fma.f64 b b (*.f64 a (-.f64 a b)))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 b b (*.f64 a (-.f64 a b)))) (/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 b #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64)))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64))))))))
(/.f64 (+.f64 (/.f64 b a) #s(literal 1 binary64)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/.f64 (neg.f64 (/.f64 (+.f64 b a) a)) (neg.f64 b))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal -2 binary64)) (pow.f64 b #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 2 binary64)) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 a b) a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 a b) a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal -2 binary64)) (*.f64 (/.f64 (/.f64 a b) a) (pow.f64 a #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 b #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) a) a) (pow.f64 b #s(literal -2 binary64))))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b a) (*.f64 (*.f64 b a) a))) (neg.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (neg.f64 a) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 a) (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 a) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 b) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 (neg.f64 b) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 a) (*.f64 b #s(literal -1 binary64)))) (neg.f64 (*.f64 (neg.f64 b) a)))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) (neg.f64 a) (*.f64 a #s(literal -1 binary64)))) (neg.f64 (*.f64 a (neg.f64 a))))
(/.f64 (neg.f64 (fma.f64 (/.f64 a b) a a)) (neg.f64 (*.f64 a a)))
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(log.f64 (exp.f64 a))
a
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a
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(*.f64 (/.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) (fma.f64 b b (*.f64 a (-.f64 a b)))) (/.f64 (+.f64 b a) b))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 b a)))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))))
(/.f64 (neg.f64 (fma.f64 b (neg.f64 b) (*.f64 (neg.f64 b) a))) (neg.f64 (*.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 b a))) (neg.f64 (*.f64 b b)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (+.f64 b a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 a b))) (neg.f64 (*.f64 (-.f64 a b) b)))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (*.f64 (-.f64 b a) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b)))
(/.f64 (fma.f64 b (neg.f64 b) (*.f64 (neg.f64 b) a)) (*.f64 b (neg.f64 b)))
(/.f64 (fma.f64 b b (*.f64 b a)) (*.f64 b b))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (-.f64 a b) b))
(/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (*.f64 (-.f64 b a) b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b)))
(/.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)))
(/.f64 (neg.f64 (+.f64 b a)) (neg.f64 b))
(/.f64 (+.f64 b a) b)
(neg.f64 (/.f64 (+.f64 b a) (neg.f64 b)))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 a b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 a b) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(-.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) b)) (/.f64 (*.f64 b b) (*.f64 (-.f64 a b) b)))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b a) b)) (/.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (-.f64 a b)) b) (/.f64 (/.f64 (*.f64 b b) (-.f64 a b)) b))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b a)) b) (/.f64 (/.f64 (*.f64 a a) (-.f64 b a)) b))
(-.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (/.f64 a b) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 a b) (/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) b))
(+.f64 (/.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b))) (/.f64 (*.f64 (neg.f64 b) a) (*.f64 b (neg.f64 b))))
(+.f64 (/.f64 (*.f64 b b) (*.f64 b b)) (/.f64 (*.f64 b a) (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) b)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 b b (*.f64 a (-.f64 a b))) b)))
(+.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a (/.f64 a b)) a) b))))
(+.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))) b) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b a) (*.f64 a a))) b))
(+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (-.f64 a b)))) b) (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 b b (*.f64 a (-.f64 a b)))) b))
(+.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) b)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (-.f64 a b) b)))
(+.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 b a) b)) (/.f64 (*.f64 (neg.f64 a) a) (*.f64 (-.f64 b a) b)))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))))
(+.f64 (/.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a b)) #s(literal -1 binary64)))
(+.f64 (/.f64 a b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal -1 binary64)))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 (pow.f64 b #s(literal -1 binary64)) (/.f64 a #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a b)
(neg.f64 (/.f64 (neg.f64 a) b))
(neg.f64 (/.f64 a (neg.f64 b)))

eval102.0ms (0.4%)

Memory
2.9MiB live, 108.3MiB allocated
Compiler

Compiled 26 855 to 2 465 computations (90.8% saved)

prune15.0ms (0.1%)

Memory
-5.2MiB live, 40.0MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New5740574
Fresh000
Picked044
Done022
Total5746580
Accuracy
100.0%
Counts
580 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
61.3%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
26.6%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
45.8%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
53.4%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
99.9%
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
Compiler

Compiled 599 to 231 computations (61.4% saved)

regimes14.0ms (0.1%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (/.f64 (+.f64 b a) b) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) a)) (/.f64 (*.f64 (*.f64 (+.f64 b a) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a a) b (*.f64 (*.f64 b b) a))) (*.f64 (*.f64 (*.f64 a a) b) b))) eps (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) eps) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (fma.f64 (*.f64 eps (-.f64 (/.f64 (pow.f64 (exp.f64 a) eps) (expm1.f64 (*.f64 a eps))) #s(literal 1/2 binary64))) b #s(literal 1 binary64)) b))
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 b a) eps)) (expm1.f64 (*.f64 (*.f64 b eps) #s(literal 3 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 eps) (*.f64 #s(literal 2 binary64) b)) (pow.f64 (exp.f64 eps) b)) #s(literal 1 binary64)) (/.f64 eps (expm1.f64 (*.f64 a eps)))))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
Calls

4 calls:

4.0ms
eps
4.0ms
a
4.0ms
b
3.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
99.9%1a
99.9%1b
99.9%1eps
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes10.0ms (0%)

Memory
-31.1MiB live, 13.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Calls

4 calls:

4.0ms
b
2.0ms
a
2.0ms
eps
1.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
61.3%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
86.2%3a
84.4%3b
72.5%2eps
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) (fabs.f64 a)))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Calls

2 calls:

1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
82.7%2b
82.5%2a
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Calls

4 calls:

1.0ms
eps
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.4%1(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
53.4%1eps
53.4%1a
53.4%1b
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch29.0ms (0.1%)

Memory
-2.9MiB live, 41.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
-1.332391071040155e-142
-8.399442783087087e-144
14.0ms
-2.1063575007159208e-101
-2.089104701633873e-102
Samples
18.0ms192×0valid
Compiler

Compiled 723 to 529 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (53.3% of total)
ival-expm1: 3.0ms (26.7% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
6.340827180069833e-226
3.204047602215609e-224
Samples
9.0ms112×0valid
Compiler

Compiled 419 to 313 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (46.9% of total)
ival-expm1: 2.0ms (31.2% of total)
ival-div: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify58.0ms (0.2%)

Memory
-13.5MiB live, 41.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040224
179224
2160224
3360224
41319224
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 a #s(literal -5799975312109267/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) (if (<=.f64 a #s(literal -7468899854222103/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 b #s(literal 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
Outputs
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) #s(approx (/ (/ (+ b a) b) a) (+.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -5799975312109267/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) (if (<=.f64 a #s(literal -7468899854222103/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))))
(if (<=.f64 a #s(literal -5799975312109267/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 (+.f64 b a) (*.f64 b a))) (if (<=.f64 a #s(literal -7468899854222103/219673525124179510879420825570604582952621929604585773100622830693937381868724993667921908501166545759273481964527387457187903615990932602002368905315681828864 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64)))))
(if (<=.f64 b #s(literal 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) b)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 b #s(literal 3334007216439927/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 b #s(literal -1 binary64))) #s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64))))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (/.f64 #s(literal 1 binary64) a))
#s(approx (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))) (pow.f64 a #s(literal -1 binary64)))

soundness396.0ms (1.7%)

Memory
28.1MiB live, 344.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06803574
125553398
089273068
04812970
118082904
277712896
085012566
053421
087413
1336397
22755397
08567391
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 285 to 102 computations (64.2% saved)

preprocess66.0ms (0.3%)

Memory
8.8MiB live, 101.5MiB allocated
Remove

(sort a b)

Compiler

Compiled 750 to 286 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...