Metrics for expq3 (problem 3.4.2)

analyze293.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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%	77.8%	0%	0%	0%	4
0%	0%	20.6%	79.4%	0%	0%	0%	5
0%	0%	18.3%	81.7%	0%	0%	0%	6
0%	0%	10.7%	89.3%	0%	0%	0%	7
0%	0%	9.3%	90.7%	0%	0%	0%	8
0%	0%	8.2%	91.8%	0%	0%	0%	9
0%	0%	5.7%	94.3%	0%	0%	0%	10
0%	0%	5%	95%	0%	0%	0%	11
0%	0%	4.4%	95.6%	0%	0%	0%	12

Compiler

Compiled 54 to 30 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 47.0ms (29.4% of total)

ival-exp: 21.0ms (13.1% of total)

...c/correct-round.rkt:119:19: 18.0ms (11.3% of total)

ival-<=: 17.0ms (10.6% of total)

ival-fabs: 15.0ms (9.4% of total)

ival-sub: 15.0ms (9.4% of total)

ival-add: 10.0ms (6.3% of total)

ival-fmin: 7.0ms (4.4% of total)

ival-div: 4.0ms (2.5% of total)

ival-and: 3.0ms (1.9% of total)

const: 1.0ms (0.6% of total)

backward-pass: 1.0ms (0.6% of total)

sample30.6s (80.4%)

Results

15.6s	63047×	0	precondition
8.4s	6005×	2	valid
1.9s	2251×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 21.4s

ival-exp: 6.7s (31.3% of total)

ival-mult: 4.9s (22.8% of total)

ival-sub: 2.2s (10.4% of total)

...c/correct-round.rkt:119:19: 1.8s (8.4% of total)

ival-<=: 1.6s (7.3% of total)

ival-fabs: 1.3s (6% of total)

ival-add: 927.0ms (4.3% of total)

ival-fmin: 695.0ms (3.2% of total)

backward-pass: 612.0ms (2.9% of total)

ival-div: 362.0ms (1.7% of total)

ival-and: 269.0ms (1.3% of total)

const: 94.0ms (0.4% of total)

Bogosity

preprocess227.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2324×	`-lowering-.f32`
2324×	`-lowering-.f64`
1986×	`sum3-define`
1956×	`fma-lowering-fma.f32`
1956×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	197
1	282	193
2	743	193
3	2322	193
0	17	18
1	46	18
2	99	18
3	179	18
4	443	18
5	911	18
6	1816	18
7	5697	18
0	8192	18

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

Outputs

(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))

(/.f64 (*.f64 (expm1.f64 (*.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b)))) (expm1.f64 (*.f64 eps a)))

Call 2

Inputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))

Outputs
(/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(* (expm1 (* eps (+ a b))) (/ (/ eps (expm1 (* eps b))) (expm1 (* eps a))))
(/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1)))
(* (expm1 (* eps (- b a))) (/ (/ eps (expm1 (* eps (neg a)))) (expm1 (* eps b))))
(/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1)))
(* (expm1 (* eps (- a b))) (/ (/ eps (expm1 (* eps a))) (expm1 (* eps (neg b)))))
(/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1)))
(* (expm1 (* eps (- (neg a) b))) (/ (/ (neg eps) (expm1 (* eps (neg a)))) (expm1 (* eps (neg b)))))
(neg (/ (* eps (- (exp (* (+ (neg a) b) eps)) 1)) (* (- (exp (* (neg a) eps)) 1) (- (exp (* b eps)) 1))))
(/ (* eps (expm1 (* eps (- b a)))) (* (expm1 (* eps b)) (neg (expm1 (* eps (neg a))))))
(neg (/ (* eps (- (exp (* (+ a (neg b)) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* (neg b) eps)) 1))))
(* (/ (expm1 (* eps (- a b))) (expm1 (* eps a))) (/ (neg eps) (expm1 (* eps (neg b)))))
(neg (/ (* (neg eps) (- (exp (* (+ a b) (neg eps))) 1)) (* (- (exp (* a (neg eps))) 1) (- (exp (* b (neg eps))) 1))))
(* (expm1 (* eps (- (neg a) b))) (/ (/ eps (expm1 (* eps (neg b)))) (expm1 (* eps (neg a)))))
(/ (* eps (- (exp (* (+ b a) eps)) 1)) (* (- (exp (* b eps)) 1) (- (exp (* a eps)) 1)))
(* (expm1 (* eps (+ a b))) (/ (/ eps (expm1 (* eps b))) (expm1 (* eps a))))
(/ (* a (- (exp (* (+ eps b) a)) 1)) (* (- (exp (* eps a)) 1) (- (exp (* b a)) 1)))
(* (expm1 (* a (+ eps b))) (/ (/ a (expm1 (* eps a))) (expm1 (* a b))))
(/ (* b (- (exp (* (+ a eps) b)) 1)) (* (- (exp (* a b)) 1) (- (exp (* eps b)) 1)))
(* (expm1 (* b (+ eps a))) (/ (/ b (expm1 (* a b))) (expm1 (* eps b))))

Symmetry

(sort a b)

explain700.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
233	0	-	3	(-9.90406933702319e-64 -8.488994059804067e-75 1.2261036681775618e-93)	`(/.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))))`
138	1	(2.964138308629826e-167 3.137215387576264e-137 2.1050593411942493e-186)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
112	2	(-3.655332205405964e-91 1.7518732702428448e-158 1.680105503836945e-166)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
109	0	-	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`b`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(+.f64 a b)`

Results

501.0ms	348×	2	valid
103.0ms	164×	1	valid

Compiler

Compiled 233 to 53 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-exp: 272.0ms (66.2% of total)

ival-mult: 48.0ms (11.7% of total)

backward-pass: 39.0ms (9.5% of total)

ival-sub: 33.0ms (8% of total)

ival-add: 10.0ms (2.4% of total)

ival-div: 7.0ms (1.7% of total)

const: 2.0ms (0.5% of total)

eval0.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.6%	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify196.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 eps (+.f64 a b))
✓	cost-diff	(expm1.f64 (*.f64 eps (+.f64 a b)))
✓	cost-diff	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b))))
✓	cost-diff	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))

Rules

2234×	`-lowering-.f32`
2234×	`-lowering-.f64`
1274×	`times-frac`
1068×	`fma-lowering-fma.f32`
1068×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	68
1	42	68
2	69	68
3	132	68
4	251	68
5	509	68
6	979	68
7	1883	68
8	6447	68
9	7572	68
0	8100	68

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))
(- (exp (* eps (+ a b))) 1)
(* eps (+ a b))
eps
(+ a b)
a
b
(/ eps (- (exp (* eps b)) 1))
(- (exp (* eps b)) 1)
(* eps b)
(- (exp (* eps a)) 1)
(* eps a)

Outputs
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) (expm1.f64 (.f64 eps a))))
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))
(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b))))
(- (exp (* eps (+ a b))) 1)
(expm1.f64 (*.f64 eps (+.f64 a b)))
(* eps (+ a b))
(*.f64 eps (+.f64 a b))
eps
(+ a b)
(+.f64 a b)
a
b
(/ eps (- (exp (* eps b)) 1))
(/.f64 eps (expm1.f64 (*.f64 eps b)))
(- (exp (* eps b)) 1)
(expm1.f64 (*.f64 eps b))
(* eps b)
(*.f64 eps b)
(- (exp (* eps a)) 1)
(expm1.f64 (*.f64 eps a))
(* eps a)
(*.f64 eps a)

localize609.0ms (1.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (*.f64 eps b))))
✓	accuracy	100.0%	(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))
✓	accuracy	100.0%	(/.f64 eps (expm1.f64 (*.f64 eps b)))
✓	accuracy	100.0%	(*.f64 eps (+.f64 a b))

Results

575.0ms	248×	5	exit
4.0ms	8×	1	valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

compiled-spec: 91.0ms (37.9% of total)

ival-exp: 68.0ms (28.3% of total)

backward-pass: 39.0ms (16.2% of total)

ival-mult: 17.0ms (7.1% of total)

ival-sub: 11.0ms (4.6% of total)

ival-div: 10.0ms (4.2% of total)

ival-add: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

series43.0ms (0.1%)

Counts

5 → 168

Calls

Call 1

Inputs
#<alt (/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))>
#<alt (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (* eps (+ a b))>
#<alt (/ eps (- (exp (* eps b)) 1))>

Outputs
#<alt (/ (+ a b) (* a b))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (/ (* eps (exp (* b eps))) (- (exp (* b eps)) 1)) (* 1/2 eps)))) a)>
#<alt (/ (+ 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)>
#<alt (/ (+ 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)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* b (- (/ (* eps (exp (* a eps))) (- (exp (* a eps)) 1)) (* 1/2 eps)))) b)>
#<alt (/ (+ 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)>
#<alt (/ (+ 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)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))>
#<alt (/ (* eps (+ a b)) b)>
#<alt (* eps (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b))))>
#<alt (* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))>
#<alt (* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt eps>
#<alt (+ eps (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1)))>
#<alt (+ eps (* a (+ (* 1/2 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))>
#<alt (+ eps (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 4) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (- (exp (* a eps)) 1) b)>
#<alt (/ (- (+ (exp (* a eps)) (* b (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)>
#<alt (/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)>
#<alt (/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (+ (* 1/2 (* (pow eps 2) (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 3) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 3) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a (+ b (* 1/2 (* eps (pow (+ a b) 2))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/6 (* eps (pow (+ a b) 3))) (* 1/2 (pow (+ a b) 2)))))))>
#<alt (* eps (+ a (+ b (* eps (+ (* 1/2 (pow (+ a b) 2)) (* eps (+ (* 1/24 (* eps (pow (+ a b) 4))) (* 1/6 (pow (+ a b) 3)))))))))>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* b eps)) 1)>
#<alt (- (+ (exp (* b eps)) (* a (* eps (exp (* b eps))))) 1)>
#<alt (- (+ (exp (* b eps)) (* a (+ (* 1/2 (* a (* (pow eps 2) (exp (* b eps))))) (* eps (exp (* b eps)))))) 1)>
#<alt (- (+ (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)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* eps (- b (* -1 a)))) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (+ (exp (* a eps)) (* b (* eps (exp (* a eps))))) 1)>
#<alt (- (+ (exp (* a eps)) (* b (+ (* 1/2 (* b (* (pow eps 2) (exp (* a eps))))) (* eps (exp (* a eps)))))) 1)>
#<alt (- (+ (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)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (+ a b))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (- (exp (* eps (- a (* -1 b)))) 1)>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* b eps)>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (* a eps)>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a eps)>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* a eps)>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (* b eps)>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b eps)>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (/ 1 b)>
#<alt (+ (* -1/2 eps) (/ 1 b))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* b (+ (* -1/4 b) (* 1/6 b)))) (+ (* -1/12 (pow b 2)) (* 1/24 (pow b 2)))))) (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* -1/2 (* b eps))) b)>
#<alt (/ (+ 1 (* b (- (* -1 (* b (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)>
#<alt (/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>
#<alt (/ eps (- (exp (* b eps)) 1))>

Calls

42 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
4.0ms	b	@	0	(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))
3.0ms	eps	@	0	(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
3.0ms	a	@	inf	(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
2.0ms	eps	@	-inf	(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))

rewrite365.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

5162×	`-lowering-.f32`
5162×	`-lowering-.f64`
4476×	`/-lowering-/.f32`
4476×	`/-lowering-/.f64`
1970×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	101	48
2	844	48
0	8622	48

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 479

Calls

Call 1

Inputs
(/ (* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1))) (- (exp (* eps a)) 1))
(* (- (exp (* eps (+ a b))) 1) (/ eps (- (exp (* eps b)) 1)))
(- (exp (* eps (+ a b))) 1)
(* eps (+ a b))
(/ eps (- (exp (* eps b)) 1))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))) (/.f64 (exp.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps))) (.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a))) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (*.f64 eps b)))))
(+.f64 (.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (exp.f64 (.f64 eps (+.f64 a b)))) (.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a)))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) #s(literal -1 binary64)) (.f64 (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a)))) (exp.f64 (*.f64 eps (+.f64 a b)))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (exp.f64 (.f64 eps (.f64 #s(literal 2 binary64) a)))) (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps a)))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps a)))) (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (exp.f64 (.f64 eps (*.f64 #s(literal 2 binary64) a)))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64))) (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64))))) (exp.f64 (*.f64 eps a))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 #s(literal 2 binary64) a)))) #s(literal 1 binary64)) (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 #s(literal 2 binary64) a)))) (exp.f64 (*.f64 eps a))))
(+.f64 (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 #s(literal 2 binary64) a)))) (exp.f64 (.f64 eps a))) (.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 #s(literal 2 binary64) a)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (exp.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps a)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (.f64 eps b))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps a)))))
(+.f64 (.f64 (exp.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))) (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (.f64 eps a))))) (.f64 (exp.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (.f64 (expm1.f64 (.f64 eps b)) (expm1.f64 (*.f64 eps a))))))
(+.f64 (.f64 (exp.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps a))) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps a))) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64)))))) (.f64 (exp.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 (+.f64 (exp.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))) #s(literal 1 binary64)) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 a #s(literal 3 binary64)))))) (.f64 (exp.f64 (.f64 eps a)) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 a #s(literal 3 binary64)))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))))) (.f64 (exp.f64 (.f64 eps a)) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 #s(literal 2 binary64) a))))))
(+.f64 (.f64 (exp.f64 (.f64 eps a)) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (.f64 #s(literal 2 binary64) a))))) (.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) eps)) (expm1.f64 (.f64 eps (*.f64 #s(literal 2 binary64) a))))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps a)) (expm1.f64 (.f64 eps (+.f64 a b)))) (/.f64 eps (expm1.f64 (.f64 eps b))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) (-.f64 #s(literal 0 binary64) eps))) (expm1.f64 (*.f64 eps a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps a)))) (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) (-.f64 #s(literal 0 binary64) eps))) (expm1.f64 (.f64 eps a))))
(neg.f64 (/.f64 (/.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 (expm1.f64 (.f64 eps b)) (-.f64 #s(literal 0 binary64) eps))) (expm1.f64 (*.f64 eps a))))
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(/.f64 (.f64 (/.f64 eps (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps b)))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal 2 binary64) (.f64 eps b))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps b))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps) #s(literal -1 binary64))
(.f64 eps (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps b))))
(.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps b))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) eps) (/.f64 #s(literal -1 binary64) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps b))) eps)
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps b))) (pow.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) eps) (expm1.f64 (.f64 eps b))))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (.f64 b #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps b)) (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 eps b))))) eps))
(.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps b)))) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))) eps))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps (.f64 b #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps b)) (exp.f64 (.f64 #s(literal 2 binary64) (.f64 eps b))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 eps (.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps b)) (exp.f64 (.f64 #s(literal 2 binary64) (.f64 eps b))))))))
(.f64 (/.f64 eps (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps b)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps b))))
(.f64 (/.f64 eps (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps b)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 eps b))))))
(.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 eps b)) eps) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (expm1.f64 (*.f64 eps b)) eps) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps b))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps b))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 eps b))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 eps (expm1.f64 (.f64 eps (.f64 b #s(literal 3 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 eps b)) (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 eps b))))))

simplify300.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

5754×	`-lowering-.f32`
5754×	`-lowering-.f64`
2664×	`+-lowering-+.f64`
2664×	`+-lowering-+.f32`
1826×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	3184
1	1457	2966
2	5469	2946
0	8086	2946

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(/ (+ 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 (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ 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 (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 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 (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1)))
(/ (* eps (+ a b)) b)
(* eps (+ 1 (+ (* eps (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))) (/ a b))))
(* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))
(* eps (+ 1 (+ (* eps (- (+ (* 1/2 (/ (pow (+ a b) 2) b)) (* eps (- (+ (* 1/6 (/ (pow (+ a b) 3) b)) (* eps (- (* 1/24 (/ (pow (+ a b) 4) b)) (+ (* 1/24 (* (pow b 2) (+ a b))) (+ (* 1/6 (* (pow b 2) (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))) (* 1/2 (* b (- (* 1/6 (/ (pow (+ a b) 3) b)) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b)))))))))))))) (+ (* 1/6 (* b (+ a b))) (* 1/2 (* b (- (* 1/2 (/ (pow (+ a b) 2) b)) (* 1/2 (+ a b))))))))) (* 1/2 (+ a b)))) (/ a b))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
eps
(+ eps (/ (* a (* (pow eps 2) (exp (* b eps)))) (- (exp (* b eps)) 1)))
(+ eps (* a (+ (* 1/2 (/ (* a (* (pow eps 3) (exp (* b eps)))) (- (exp (* b eps)) 1))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))
(+ eps (* a (+ (* a (+ (* 1/6 (/ (* a (* (pow eps 4) (exp (* b eps)))) (- (exp (* b eps)) 1))) (* 1/2 (/ (* (pow eps 3) (exp (* b eps))) (- (exp (* b eps)) 1))))) (/ (* (pow eps 2) (exp (* b eps))) (- (exp (* b eps)) 1)))))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- b (* -1 a)))) 1)) (- (exp (* b eps)) 1))
(/ (- (exp (* a eps)) 1) b)
(/ (- (+ (exp (* a eps)) (* b (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)
(/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)
(/ (- (+ (exp (* a eps)) (* b (- (+ (* b (- (+ (* 1/2 (* (pow eps 2) (exp (* a eps)))) (* b (- (* 1/6 (* (pow eps 3) (exp (* a eps)))) (+ (* 1/24 (* (pow eps 3) (- (exp (* a eps)) 1))) (+ (* 1/6 (* (pow eps 2) (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) (* 1/2 (* eps (- (* 1/2 (* (pow eps 2) (exp (* a eps)))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))))))))) (+ (* 1/6 (* (pow eps 2) (- (exp (* a eps)) 1))) (* 1/2 (* eps (- (* eps (exp (* a eps))) (* 1/2 (* eps (- (exp (* a eps)) 1))))))))) (* eps (exp (* a eps)))) (* 1/2 (* eps (- (exp (* a eps)) 1)))))) 1) b)
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (+ a b))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(/ (* eps (- (exp (* eps (- a (* -1 b)))) 1)) (- (exp (* b eps)) 1))
(* 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)))))))))
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 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 (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (exp (* eps (- b (* -1 a)))) 1)
(- (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 (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (+ a b))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(- (exp (* eps (- a (* -1 b)))) 1)
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* b eps)
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(* a eps)
(* a (+ eps (/ (* b eps) a)))
(* a (+ eps (/ (* b eps) a)))
(* a (+ eps (/ (* b eps) a)))
(* a eps)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* a eps)
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(* b eps)
(* b (+ eps (/ (* a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(* b eps)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(/ 1 b)
(+ (* -1/2 eps) (/ 1 b))
(+ (* eps (- (* -1 (* eps (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* b (+ (* -1/4 b) (* 1/6 b)))) (+ (* -1/12 (pow b 2)) (* 1/24 (pow b 2)))))) (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ 1 b)
(/ (+ 1 (* -1/2 (* b eps))) b)
(/ (+ 1 (* b (- (* -1 (* b (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)
(/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))
(/ eps (- (exp (* b eps)) 1))

Outputs
(/ (+ a b) (* a b))
(/.f64 (/.f64 (+.f64 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)))
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
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(* b eps)
(*.f64 b eps)
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b eps)
(*.f64 b eps)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* -1/2 eps) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 eps #s(literal -1/2 binary64)))
(+ (* eps (- (* -1 (* eps (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (*.f64 b #s(literal 1/12 binary64))))))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* b (+ (* -1/4 b) (* 1/6 b)))) (+ (* -1/12 (pow b 2)) (* 1/24 (pow b 2)))))) (+ (* -1/4 b) (* 1/6 b)))) 1/2)) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 eps (+.f64 #s(literal -1/2 binary64) (.f64 eps (+.f64 (.f64 (-.f64 #s(literal 0 binary64) eps) (+.f64 (.f64 b (.f64 (.f64 b #s(literal -1/12 binary64)) #s(literal -1/2 binary64))) (.f64 (.f64 b b) #s(literal -1/24 binary64)))) (*.f64 b #s(literal 1/12 binary64)))))))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (* -1/2 (* b eps))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (.f64 eps #s(literal -1/2 binary64)))) b)
(/ (+ 1 (* b (- (* -1 (* b (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 b (.f64 (.f64 eps eps) #s(literal 1/12 binary64))) (*.f64 eps #s(literal -1/2 binary64))))) b)
(/ (+ 1 (* b (- (* b (- (* -1 (* b (+ (* -1/2 (* eps (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (+ (* -1/12 (pow eps 3)) (* 1/24 (pow eps 3)))))) (+ (* -1/4 (pow eps 2)) (* 1/6 (pow eps 2))))) (* 1/2 eps)))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 eps (.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal -1/12 binary64)))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/24 binary64)))) (.f64 (.f64 eps eps) #s(literal 1/12 binary64)))) (*.f64 eps #s(literal -1/2 binary64))))) b)
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))
(/ eps (- (exp (* b eps)) 1))
(/.f64 eps (expm1.f64 (*.f64 b eps)))

eval75.0ms (0.2%)

Compiler: Compiled 20855 to 2003 computations (90.4% saved)

prune105.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	642	5	647
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	643	5	648

Accuracy

100.0%

Counts

648 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (+.f64 a b) a) b)
▶	42.9%	(/.f64 (/.f64 (.f64 (+.f64 a b) eps) b) (expm1.f64 (.f64 eps a)))
▶	49.3%	(/.f64 #s(literal 1 binary64) b)
▶	50.8%	(/.f64 #s(literal 1 binary64) a)
▶	19.4%	(+.f64 (.f64 eps (-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))

Compiler

Compiled 178 to 98 computations (44.9% saved)

simplify228.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(*.f64 (+.f64 a b) eps)
✓	cost-diff	0	(/.f64 (*.f64 (+.f64 a b) eps) b)
✓	cost-diff	0	(/.f64 (/.f64 (.f64 (+.f64 a b) eps) b) (expm1.f64 (.f64 eps a)))
✓	cost-diff	768	(/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b))))
✓	cost-diff	1408	(-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (.f64 b b)))))
✓	cost-diff	1408	(.f64 eps (-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b))))))
✓	cost-diff	1408	(+.f64 (.f64 eps (-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(+.f64 a b)
✓	cost-diff	0	(/.f64 (+.f64 a b) a)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 a b) a) b)

Rules

5048×	`-lowering-.f32`
5048×	`-lowering-.f64`
2524×	`+-lowering-+.f64`
2524×	`+-lowering-+.f32`
1700×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	257
1	105	247
2	374	228
3	2227	207
0	9206	207

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ a b) a) b)
(/ (+ a b) a)
(+ a b)
a
b
(/ 1 a)
1
a
(/ 1 b)
1
b
(+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))
(* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))))
eps
(- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))
(* (* (+ a b) (+ a b)) (/ 1/2 (* a b)))
(* (+ a b) (+ a b))
(+ a b)
a
b
(/ 1/2 (* a b))
1/2
(* a b)
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b))))
(* (+ a b) 1/2)
(+ (* a (* b b)) (* a (* a b)))
(* a (* b b))
(* b b)
(* a (* a b))
(* a (* a (* b b)))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
1
(/ 1 b)
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1))
(/ (* (+ a b) eps) b)
(* (+ a b) eps)
(+ a b)
a
b
eps
(- (exp (* eps a)) 1)
(* eps a)

Outputs
(/ (/ (+ a b) a) b)
(/.f64 (/.f64 (+.f64 a b) a) b)
(/ (+ a b) a)
(/.f64 (+.f64 a b) a)
(+ a b)
(+.f64 a b)
a
b
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (.f64 eps (.f64 (/.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (.f64 a b)) (-.f64 (+.f64 a b) (+.f64 a b))))))
(* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))))
(.f64 eps (.f64 (/.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (.f64 a b)) (-.f64 (+.f64 a b) (+.f64 a b))))
eps
(- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))
(.f64 (/.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (*.f64 a b)) (-.f64 (+.f64 a b) (+.f64 a b)))
(* (* (+ a b) (+ a b)) (/ 1/2 (* a b)))
(.f64 (+.f64 a b) (/.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (*.f64 a b)))
(* (+ a b) (+ a b))
(*.f64 (+.f64 a b) (+.f64 a b))
(+ a b)
(+.f64 a b)
a
b
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
1/2
#s(literal 1/2 binary64)
(* a b)
(*.f64 a b)
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))
(.f64 (+.f64 a b) (/.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (*.f64 a b)))
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b))))
(.f64 (+.f64 a b) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 a b)))))
(* (+ a b) 1/2)
(*.f64 (+.f64 a b) #s(literal 1/2 binary64))
(+ (* a (* b b)) (* a (* a b)))
(.f64 a (.f64 b (+.f64 a b)))
(* a (* b b))
(.f64 b (.f64 a b))
(* b b)
(*.f64 b b)
(* a (* a b))
(.f64 a (.f64 a b))
(* a (* a (* b b)))
(.f64 a (.f64 b (*.f64 a b)))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1))
(.f64 (/.f64 eps b) (/.f64 (+.f64 a b) (expm1.f64 (.f64 a eps))))
(/ (* (+ a b) eps) b)
(*.f64 (+.f64 a b) (/.f64 eps b))
(* (+ a b) eps)
(*.f64 (+.f64 a b) eps)
(+ a b)
(+.f64 a b)
a
b
eps
(- (exp (* eps a)) 1)
(expm1.f64 (*.f64 a eps))
(* eps a)
(*.f64 a eps)

localize798.0ms (2.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 (*.f64 eps a))
✓	accuracy	100.0%	(*.f64 (+.f64 a b) eps)
✓	accuracy	99.7%	(/.f64 (*.f64 (+.f64 a b) eps) b)
✓	accuracy	99.5%	(/.f64 (/.f64 (.f64 (+.f64 a b) eps) b) (expm1.f64 (.f64 eps a)))
✓	accuracy	99.9%	(.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
✓	accuracy	99.8%	(.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (*.f64 a b)))
✓	accuracy	77.7%	(/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(+.f64 a b)
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 a b) a) b)
✓	accuracy	100.0%	(/.f64 (+.f64 a b) a)

Results

538.0ms	149×	5	exit
166.0ms	105×	2	valid
4.0ms	2×	3	valid

Compiler

Compiled 324 to 32 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 314.0ms

ival-mult: 94.0ms (29.9% of total)

backward-pass: 74.0ms (23.6% of total)

ival-div: 70.0ms (22.3% of total)

compiled-spec: 25.0ms (8% of total)

ival-add: 23.0ms (7.3% of total)

ival-exp: 18.0ms (5.7% of total)

ival-sub: 9.0ms (2.9% of total)

const: 2.0ms (0.6% of total)

series95.0ms (0.2%)

Counts

16 → 420

Calls

Call 1

Inputs
#<alt (/ (/ (+ a b) a) b)>
#<alt (/ (+ a b) a)>
#<alt (+ a b)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))>
#<alt (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))))>
#<alt (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))>
#<alt (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))>
#<alt (/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1))>
#<alt (/ (* (+ a b) eps) b)>
#<alt (* (+ a b) eps)>
#<alt (* (* (+ a b) (+ a b)) (/ 1/2 (* a b)))>
#<alt (/ 1/2 (* a b))>
#<alt (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b))))>
#<alt (- (exp (* eps a)) 1)>

Outputs
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ b a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt (/ (+ a b) a)>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt 1>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (+ 1 (/ b a))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (/ b a)>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt (* b (+ (/ 1 a) (/ 1 b)))>
#<alt b>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt a>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt (* a (+ 1 (/ b a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ b a)) 1)))>
#<alt a>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt (+ a b)>
#<alt b>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt (* b (+ 1 (/ a b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ a b)) 1)))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (+ (* 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)))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt (* 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))))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 1/2 (/ b a))>
#<alt (/ (+ a (* 1/2 b)) a)>
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)>
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ b (* 1/2 a)) b)>
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)>
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))>
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* a (- (/ 1 b) (* 1/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* -1 (* a (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)>
#<alt (/ (+ 1 (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (* eps (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (+ (* 1/24 (pow eps 3)) (* 1/6 (* (pow eps 2) (- (/ 1 b) (* 1/2 eps)))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)>
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))>
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))>
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))>
#<alt (* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))>
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))>
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))>
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))>
#<alt (* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))>
#<alt (/ (* a eps) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)>
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)>
#<alt (/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)>
#<alt (/ eps (- (exp (* a eps)) 1))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (/ eps (- (exp (* a eps)) 1))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))>
#<alt (/ (+ a b) (* a b))>
#<alt (+ (* -1/2 (/ (* eps (+ a b)) b)) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* a (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (+ (* -1/12 (/ (* (pow a 2) (+ a b)) b)) (* 1/24 (/ (* (pow a 2) (+ a b)) b)))))) (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt (/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))>
#<alt eps>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt (/ (* a eps) b)>
#<alt (* a (+ (/ eps a) (/ eps b)))>
#<alt (* a (+ (/ eps a) (/ eps b)))>
#<alt (* a (+ (/ eps a) (/ eps b)))>
#<alt (/ (* a eps) b)>
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))>
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))>
#<alt (* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))>
#<alt (/ (* a eps) b)>
#<alt (/ (+ (* a eps) (* b eps)) b)>
#<alt (/ (+ (* a eps) (* b eps)) b)>
#<alt (/ (+ (* a eps) (* b eps)) b)>
#<alt eps>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt eps>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt (+ eps (/ (* a eps) b))>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (/ (* eps (+ a b)) b)>
#<alt (* b eps)>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (* a eps)>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a (+ eps (/ (* b eps) a)))>
#<alt (* a eps)>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))>
#<alt (* a eps)>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (+ (* a eps) (* b eps))>
#<alt (* b eps)>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b (+ eps (/ (* a eps) b)))>
#<alt (* b eps)>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* eps (+ a b))>
#<alt (* 1/2 (/ b a))>
#<alt (/ (+ a (* 1/2 b)) a)>
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)>
#<alt (/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))>
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (* a (+ (/ 1 a) (* 1/2 (/ 1 b))))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))>
#<alt (* 1/2 (/ a b))>
#<alt (/ (+ b (* 1/2 a)) b)>
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)>
#<alt (/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))>
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))>
#<alt (* 1/2 (/ b a))>
#<alt (* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (/ 1/2 (* a b))>
#<alt (* 1/2 (* a (pow b 3)))>
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (pow b 2))))>
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))>
#<alt (* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))>
#<alt (* 1/2 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a)))>
#<alt (* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))>
#<alt (* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))>
#<alt (* 1/2 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))>
#<alt (* 1/2 (* (pow a 3) b))>
#<alt (* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b)))>
#<alt (* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))>
#<alt (* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))>
#<alt (* 1/2 (* a (pow b 3)))>
#<alt (* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b)))>
#<alt (* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))>
#<alt (* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))>
#<alt (* 1/2 (* a (pow b 3)))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))>
#<alt (* a eps)>
#<alt (* eps (+ a (* 1/2 (* (pow a 2) eps))))>
#<alt (* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))>
#<alt (* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (* a eps)>
#<alt (* a (+ eps (* 1/2 (* a (pow eps 2)))))>
#<alt (* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))>
#<alt (* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>
#<alt (- (exp (* a eps)) 1)>

Calls

105 calls:

Time	Variable		Point	Expression
20.0ms	b	@	inf	(/ 1/2 (* a b))
9.0ms	a	@	inf	(+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))
5.0ms	a	@	inf	(/ (/ (+ a b) a) b)
4.0ms	a	@	-inf	(* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))))
4.0ms	a	@	-inf	(+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))

rewrite398.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
2048×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	199
1	231	188
2	2583	184
0	8344	184

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 660

Calls

Call 1

Inputs
(/ (/ (+ a b) a) b)
(/ (+ a b) a)
(+ a b)
(/ 1 a)
(/ 1 b)
(+ (* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))) (+ (/ 1 a) (/ 1 b)))
(* eps (- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))))
(- (* (* (+ a b) (+ a b)) (/ 1/2 (* a b))) (/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b)))))
(/ (* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b)))) (* a (* a (* b b))))
(/ (/ (* (+ a b) eps) b) (- (exp (* eps a)) 1))
(/ (* (+ a b) eps) b)
(* (+ a b) eps)
(* (* (+ a b) (+ a b)) (/ 1/2 (* a b)))
(/ 1/2 (* a b))
(* (* (+ a b) 1/2) (+ (* a (* b b)) (* a (* a b))))
(- (exp (* eps a)) 1)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
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(/.f64 (neg.f64 (.f64 (+.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 a b)) (.f64 (.f64 a b) (.f64 a (.f64 a (.f64 a b)))))) (.f64 (+.f64 a b) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 b b) (.f64 (.f64 a b) (.f64 a b))) (.f64 (.f64 a (.f64 a b)) (-.f64 (.f64 a (.f64 a b)) (.f64 a (.f64 b b)))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 b (.f64 a (+.f64 a b))) (.f64 a (.f64 b (-.f64 b a)))) (.f64 (+.f64 a b) #s(literal 1/2 binary64)))) (neg.f64 (.f64 a (*.f64 b (-.f64 b a)))))
(.f64 a (.f64 (.f64 b (+.f64 a b)) (.f64 (+.f64 a b) #s(literal 1/2 binary64))))
(.f64 (+.f64 a b) (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 a b)))))
(.f64 #s(literal 1/2 binary64) (.f64 (+.f64 a b) (.f64 b (.f64 a (+.f64 a b)))))
(.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (.f64 b (.f64 a (+.f64 a b))))
(.f64 (.f64 b (.f64 a (+.f64 a b))) (.f64 (+.f64 a b) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 b (.f64 a (+.f64 a b)))) (+.f64 a b))
(.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) a) (.f64 b (+.f64 a b)))
(.f64 (.f64 (.f64 b (.f64 a (+.f64 a b))) (+.f64 a b)) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a eps)))
(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (.f64 eps (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))))
(-.f64 (/.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))))
(-.f64 (/.f64 (exp.f64 (.f64 eps (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) (exp.f64 (.f64 eps (/.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))
(expm1.f64 (*.f64 a eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 (*.f64 a eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (+.f64 (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 (*.f64 a eps) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (+.f64 (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))
(/.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a eps)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a eps))))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))) (expm1.f64 (.f64 (*.f64 a eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))) (+.f64 (exp.f64 (.f64 (*.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (expm1.f64 (.f64 (.f64 a eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps))))))
(.f64 (+.f64 (exp.f64 (.f64 (.f64 a eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a eps)))))

simplify313.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

6194×	`-lowering-.f32`
6194×	`-lowering-.f64`
2326×	`+-lowering-+.f64`
2326×	`+-lowering-+.f32`
1416×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	3714
1	1156	3412
2	4248	3345
0	8463	3345

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ b a)
(/ (+ a b) a)
(/ (+ a b) a)
(/ (+ a b) a)
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
1
(+ 1 (/ b a))
(+ 1 (/ b a))
(+ 1 (/ b a))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(/ b a)
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
(* b (+ (/ 1 a) (/ 1 b)))
b
(+ a b)
(+ a b)
(+ a b)
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
a
(+ a b)
(+ a b)
(+ a b)
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(+ (/ 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 (- (* 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 (- (* 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 (- (* 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))))))
(* 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))))))
(* 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))))))
(* 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 (* 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)))))
(* -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)))))
(* -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)))))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 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))))))
(* 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ 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))) (* 1/2 (/ (* (+ a b) (+ (* a (pow b 2)) (* (pow a 2) b))) (* (pow a 2) (pow b 2))))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a 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 (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* 1/2 (/ a b))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(/ 1 a)
(/ (+ 1 (* a (- (/ 1 b) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* -1 (* a (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)
(/ (+ 1 (* a (- (+ (* a (- (* -1 (* a (+ (* -1/2 (* eps (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (+ (* 1/24 (pow eps 3)) (* 1/6 (* (pow eps 2) (- (/ 1 b) (* 1/2 eps)))))))) (+ (* 1/6 (pow eps 2)) (* 1/2 (* eps (- (/ 1 b) (* 1/2 eps))))))) (/ 1 b)) (* 1/2 eps)))) a)
(/ (* a eps) (* b (- (exp (* a eps)) 1)))
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))
(* a (+ (/ eps (* a (- (exp (* a eps)) 1))) (/ eps (* b (- (exp (* a eps)) 1)))))
(/ (* a eps) (* b (- (exp (* a eps)) 1)))
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))
(* -1 (* a (+ (* -1 (/ eps (* a (- (exp (* a eps)) 1)))) (* -1 (/ eps (* b (- (exp (* a eps)) 1)))))))
(/ (* a eps) (* b (- (exp (* a eps)) 1)))
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)
(/ (+ (/ (* a eps) (- (exp (* a eps)) 1)) (/ (* b eps) (- (exp (* a eps)) 1))) b)
(/ eps (- (exp (* a eps)) 1))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(/ eps (- (exp (* a eps)) 1))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(+ (/ eps (- (exp (* a eps)) 1)) (/ (* a eps) (* b (- (exp (* a eps)) 1))))
(/ (+ a b) (* a b))
(+ (* -1/2 (/ (* eps (+ a b)) b)) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (* -1 (* eps (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (* a (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (+ (* -1/12 (/ (* (pow a 2) (+ a b)) b)) (* 1/24 (/ (* (pow a 2) (+ a b)) b)))))) (+ (* -1/4 (/ (* a (+ a b)) b)) (* 1/6 (/ (* a (+ a b)) b))))) (* 1/2 (/ (+ a b) b)))) (+ (/ 1 a) (/ 1 b)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
(/ (* eps (+ a b)) (* b (- (exp (* a eps)) 1)))
eps
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
(/ (* a eps) b)
(* a (+ (/ eps a) (/ eps b)))
(* a (+ (/ eps a) (/ eps b)))
(* a (+ (/ eps a) (/ eps b)))
(/ (* a eps) b)
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(/ (* a eps) b)
(/ (+ (* a eps) (* b eps)) b)
(/ (+ (* a eps) (* b eps)) b)
(/ (+ (* a eps) (* b eps)) b)
eps
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
eps
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
(+ eps (/ (* a eps) b))
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(/ (* eps (+ a b)) b)
(* b eps)
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(* a eps)
(* a (+ eps (/ (* b eps) a)))
(* a (+ eps (/ (* b eps) a)))
(* a (+ eps (/ (* b eps) a)))
(* a eps)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(* a eps)
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(+ (* a eps) (* b eps))
(* b eps)
(* b (+ eps (/ (* a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(* b eps)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* eps (+ a b))
(* 1/2 (/ b a))
(/ (+ a (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a 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 (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(* 1/2 (/ a b))
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(* 1/2 (/ a b))
(/ (+ b (* 1/2 a)) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(/ 1/2 (* a b))
(* 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)))))
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 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))))
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))
(* 1/2 (* (pow a 3) b))
(* -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 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))
(* 1/2 (* (pow a 3) b))
(* 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 (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))
(* 1/2 (* a (pow b 3)))
(* (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))))
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))
(* 1/2 (* a (pow b 3)))
(* -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 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))
(* a eps)
(* 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))))))))
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a 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))))))))
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)
(- (exp (* a eps)) 1)

Outputs
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ b a)
(/.f64 b a)
(/ (+ a b) a)
(/.f64 (+.f64 a b) a)
(/ (+ a b) a)
(/.f64 (+.f64 a b) a)
(/ (+ a b) a)
(/.f64 (+.f64 a b) a)
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
1
#s(literal 1 binary64)
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(+ 1 (/ b a))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
(* b (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 b a))
b
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
a
(* a (+ 1 (/ b a)))
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64))))
(* a (+ 1 (/ b a)))
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64))))
(* a (+ 1 (/ b a)))
(+.f64 a (*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 1 binary64))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(.f64 a (.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) #s(literal 1 binary64)))
a
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
(+ a b)
(+.f64 a b)
b
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
(* b (+ 1 (/ a b)))
(+.f64 b (*.f64 #s(literal 1 binary64) (/.f64 a #s(literal 1 binary64))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(*.f64 b (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b))))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) 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)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b 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)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b 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)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) (.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b 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))))))
(.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b))))))
(* 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 eps (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a eps)) (/.f64 (/.f64 #s(literal 1 binary64) b) eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (.f64 b b))))))))
(* 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 eps (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a eps)) (/.f64 (/.f64 #s(literal 1 binary64) b) eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (.f64 b b))))))))
(* 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 eps (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a eps)) (/.f64 (/.f64 #s(literal 1 binary64) b) eps)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (.f64 b 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))))))
(.f64 (.f64 eps #s(literal 1/2 binary64)) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b))))))
(* -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 eps (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) 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 eps (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) 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 eps (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (+.f64 a b) (/.f64 (/.f64 (+.f64 a b) a) b)) (/.f64 (.f64 (+.f64 a b) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)) eps)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ (+ 1 (/ a b)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+ (/ 1 a) (/ 1 b))
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(+.f64 (/.f64 (.f64 a eps) b) (.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))
(/ (* a eps) b)
(/.f64 (*.f64 a eps) b)
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(+.f64 (/.f64 (.f64 a eps) b) (.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(+.f64 (/.f64 (.f64 a eps) b) (.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 (/ eps a)) (* -1 (/ eps b)))))
(+.f64 (/.f64 (.f64 a eps) b) (.f64 #s(literal 1 binary64) (/.f64 eps #s(literal 1 binary64))))
(/ (* a eps) b)
(/.f64 (*.f64 a eps) b)
(/ (+ (* a eps) (* b eps)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (+ (* a eps) (* b eps)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (+ (* a eps) (* b eps)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
eps
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
eps
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
(+ eps (/ (* a eps) b))
(+.f64 eps (/.f64 (*.f64 a eps) b))
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(/ (* eps (+ a b)) b)
(/.f64 (*.f64 (+.f64 a b) eps) b)
(* b eps)
(*.f64 b eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(* a eps)
(*.f64 a eps)
(* a (+ eps (/ (* b eps) a)))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* a (+ eps (/ (* b eps) a)))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* a (+ eps (/ (* b eps) a)))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* a eps)
(*.f64 a eps)
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* -1 (* a (+ (* -1 eps) (* -1 (/ (* b eps) a)))))
(+.f64 (.f64 a eps) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b eps) #s(literal 1 binary64))))
(* a eps)
(*.f64 a eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(+ (* a eps) (* b eps))
(*.f64 (+.f64 a b) eps)
(* b eps)
(*.f64 b eps)
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b (+ eps (/ (* a eps) b)))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* b eps)
(*.f64 b eps)
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* -1 (* b (+ (* -1 eps) (* -1 (/ (* a eps) b)))))
(.f64 b (+.f64 eps (/.f64 (.f64 a eps) b)))
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* eps (+ a b))
(*.f64 (+.f64 a b) eps)
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(/ (+ a (* 1/2 b)) a)
(/.f64 (+.f64 a (*.f64 b #s(literal 1/2 binary64))) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a)
(/ (+ (* 1/2 b) (* a (+ 1 (* 1/2 (/ a b))))) a)
(/.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))
(* a (+ (* 1/2 (/ b (pow a 2))) (+ (/ 1 a) (* 1/2 (/ 1 b)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* a (+ (/ 1 a) (* 1/2 (/ 1 b))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(.f64 a (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) a) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* a (- (* -1 (/ (+ 1 (* 1/2 (/ b a))) a)) (* 1/2 (/ 1 b)))))
(.f64 a (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) a) (/.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(/ (+ b (* 1/2 a)) b)
(/.f64 (+.f64 b (*.f64 a #s(literal 1/2 binary64))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/.f64 (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))) b)
(/ (+ (* 1/2 a) (* b (+ 1 (* 1/2 (/ b a))))) b)
(/.f64 (+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))) b)
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(* b (+ (* 1/2 (/ a (pow b 2))) (+ (* 1/2 (/ 1 a)) (/ 1 b))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))
(* 1/2 (/ b a))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) a)
(* b (+ (* 1/2 (/ 1 a)) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(.f64 b (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) b) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 1/2 (/ a b))) b)) (* 1/2 (/ 1 a)))))
(.f64 b (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) b) (/.f64 #s(literal 1/2 binary64) a)))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(/ 1/2 (* a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 a b))
(* 1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))))
(* a (+ (* 1/2 (pow b 3)) (* a (pow b 2))))
(.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 a (*.f64 b #s(literal 1/2 binary64)))))
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))
(.f64 a (+.f64 (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))) (.f64 a (.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64)))))))
(* a (+ (* 1/2 (pow b 3)) (* a (+ (* 1/2 (* a b)) (pow b 2)))))
(.f64 a (+.f64 (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))) (.f64 a (.f64 b (+.f64 b (*.f64 a #s(literal 1/2 binary64)))))))
(* 1/2 (* (pow a 3) b))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a b))))
(* (pow a 3) (+ (* 1/2 b) (/ (pow b 2) a)))
(.f64 a (.f64 (.f64 a a) (+.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (*.f64 b b) a))))
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 b b) a) (.f64 #s(literal 1/2 binary64) (+.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a a))))))
(* (pow a 3) (+ (* 1/2 b) (+ (* 1/2 (/ (pow b 3) (pow a 2))) (/ (pow b 2) a))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (/.f64 (.f64 b b) a) (.f64 #s(literal 1/2 binary64) (+.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 a a))))))
(* 1/2 (* (pow a 3) b))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a b))))
(* -1 (* (pow a 3) (+ (* -1 (/ (pow b 2) a)) (* -1/2 b))))
(.f64 a (.f64 (.f64 a a) (+.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 b b) (/.f64 (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))) a)) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow b 3) a)) (pow b 2)) a)) (* -1/2 b))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (.f64 a a)) (-.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 b b) (/.f64 (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))) a)) a))))
(* 1/2 (* (pow a 3) b))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 a b))))
(* b (+ (* 1/2 (pow a 3)) (* (pow a 2) b)))
(.f64 (.f64 a a) (.f64 b (+.f64 b (.f64 a #s(literal 1/2 binary64)))))
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))
(+.f64 (.f64 b (.f64 b (.f64 a (.f64 b #s(literal 1/2 binary64))))) (.f64 (.f64 a a) (.f64 b (+.f64 b (.f64 a #s(literal 1/2 binary64))))))
(* b (+ (* 1/2 (pow a 3)) (* b (+ (* 1/2 (* a b)) (pow a 2)))))
(+.f64 (.f64 b (.f64 b (.f64 a (.f64 b #s(literal 1/2 binary64))))) (.f64 (.f64 a a) (.f64 b (+.f64 b (.f64 a #s(literal 1/2 binary64))))))
(* 1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))))
(* (pow b 3) (+ (* 1/2 a) (/ (pow a 2) b)))
(.f64 b (.f64 (.f64 b b) (+.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 a a) b))))
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))
(.f64 b (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) b) (.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (/.f64 (.f64 a (*.f64 a a)) b) b))))))
(* (pow b 3) (+ (* 1/2 a) (+ (* 1/2 (/ (pow a 3) (pow b 2))) (/ (pow a 2) b))))
(.f64 b (.f64 (.f64 b b) (+.f64 (/.f64 (.f64 a a) b) (.f64 #s(literal 1/2 binary64) (+.f64 a (/.f64 (/.f64 (.f64 a (*.f64 a a)) b) b))))))
(* 1/2 (* a (pow b 3)))
(.f64 a (.f64 b (.f64 (.f64 b b) #s(literal 1/2 binary64))))
(* -1 (* (pow b 3) (+ (* -1 (/ (pow a 2) b)) (* -1/2 a))))
(.f64 b (.f64 (.f64 b b) (+.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 (*.f64 a a) b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))
(.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 a a) (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow a 3) b)) (pow a 2)) b)) (* -1/2 a))))
(.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 a a) (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/2 binary64)))) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* a eps)
(*.f64 a eps)
(* eps (+ a (* 1/2 (* (pow a 2) eps))))
(.f64 eps (+.f64 a (.f64 eps (.f64 a (.f64 a #s(literal 1/2 binary64))))))
(* eps (+ a (* eps (+ (* 1/6 (* (pow a 3) eps)) (* 1/2 (pow a 2))))))
(.f64 eps (+.f64 a (.f64 eps (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 a (.f64 a a)))) (.f64 a (.f64 a #s(literal 1/2 binary64)))))))
(* eps (+ a (* eps (+ (* 1/2 (pow a 2)) (* eps (+ (* 1/24 (* (pow a 4) eps)) (* 1/6 (pow a 3))))))))
(.f64 eps (+.f64 a (.f64 eps (+.f64 (.f64 a (.f64 a #s(literal 1/2 binary64))) (.f64 eps (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 eps (pow.f64 a #s(literal 4 binary64)))) (.f64 a (.f64 (.f64 a a) #s(literal 1/6 binary64)))))))))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(* a eps)
(*.f64 a eps)
(* a (+ eps (* 1/2 (* a (pow eps 2)))))
(.f64 eps (+.f64 a (.f64 eps (.f64 a (.f64 a #s(literal 1/2 binary64))))))
(* a (+ eps (* a (+ (* 1/6 (* a (pow eps 3))) (* 1/2 (pow eps 2))))))
(.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps)))) (.f64 eps (.f64 eps #s(literal 1/2 binary64)))))))
(* a (+ eps (* a (+ (* 1/2 (pow eps 2)) (* a (+ (* 1/24 (* a (pow eps 4))) (* 1/6 (pow eps 3))))))))
(.f64 a (+.f64 eps (.f64 a (+.f64 (.f64 eps (.f64 eps #s(literal 1/2 binary64))) (.f64 a (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 a (pow.f64 eps #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps eps)))))))))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))
(- (exp (* a eps)) 1)
(expm1.f64 (*.f64 a eps))

eval193.0ms (0.5%)

Compiler: Compiled 50870 to 3450 computations (93.2% saved)

prune153.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1346	2	1348
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1349	4	1353

Accuracy

100.0%

Counts

1353 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	49.3%	(/.f64 #s(literal 1 binary64) b)
✓	50.8%	(/.f64 #s(literal 1 binary64) a)
▶	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Compiler

Compiled 32 to 25 computations (21.9% saved)

simplify133.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 a b)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	cost-diff	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	cost-diff	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	(/.f64 #s(literal 1 binary64) b)
✓	cost-diff	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Rules

1676×	`sum3-define`
1670×	`fmsub-define`
1640×	`fnmsub-define`
1602×	`fmm-def`
1600×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	16	32
2	23	30
3	34	30
4	47	30
5	85	30
6	155	30
7	251	30
8	359	30
9	523	30
10	695	30
11	977	30
12	1892	30
13	3614	30
14	5335	30
15	6475	30
16	7109	30
17	7399	30
18	7495	30
0	8043	30

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (/ 1 b) (/ -1 a))
(/ 1 b)
1
b
(/ -1 a)
-1
a
(/ (+ 1 (/ a b)) a)
(+ 1 (/ a b))
1
(/ a b)
a
b

Outputs
(- (/ 1 b) (/ -1 a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
b
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
-1
#s(literal -1 binary64)
a
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
1
#s(literal 1 binary64)
(/ a b)
(/.f64 a b)
a
b

localize56.0ms (0.1%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 a b))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) a)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Results

45.0ms

256×

valid

Compiler

Compiled 39 to 12 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 16.0ms (85.8% of total)

ival-sub: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

const: 1.0ms (5.4% of total)

backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (- (/ 1 b) (/ -1 a))>
#<alt (/ 1 b)>
#<alt (/ -1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (+ 1 (/ a b))>
#<alt (/ a b)>

Outputs
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ (+ 1 (/ a b)) a)>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ (+ 1 (/ b a)) b)>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (/ 1 a)>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt (+ (/ 1 a) (/ 1 b))>
#<alt 1>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (/ a b)>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (/ a b)>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (* a (+ (/ 1 a) (/ 1 b)))>
#<alt (/ a b)>
#<alt (/ (+ a b) b)>
#<alt (/ (+ a b) b)>
#<alt (/ (+ a b) b)>
#<alt 1>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt 1>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (+ 1 (/ a b))>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(/ (+ 1 (/ a b)) a)
0.0ms	a	@	inf	(/ (+ 1 (/ a b)) a)
0.0ms	b	@	-inf	(/ (+ 1 (/ a b)) a)
0.0ms	a	@	0	(/ -1 a)
0.0ms	a	@	-inf	(/ a b)

rewrite196.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2858×	`-lowering-.f32`
2858×	`-lowering-.f64`
2540×	`/-lowering-/.f32`
2540×	`/-lowering-/.f64`
1332×	`frac-add`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	69	25
2	695	25
0	9462	25

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 280

Calls

Call 1

Inputs
(- (/ 1 b) (/ -1 a))
(/ 1 b)
(/ -1 a)
(/ (+ 1 (/ a b)) a)
(+ 1 (/ a b))
(/ a b)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(+.f64 (/.f64 a (*.f64 b a)) (neg.f64 (/.f64 b (/.f64 b (/.f64 #s(literal -1 binary64) a)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a 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 (/.f64 #s(literal 1 binary64) b) (-.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(-.f64 (/.f64 a (*.f64 b a)) (/.f64 b (/.f64 b (/.f64 #s(literal -1 binary64) a))))
(-.f64 (/.f64 a (*.f64 b a)) (-.f64 (/.f64 b (/.f64 b (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(fma.f64 (+.f64 a b) (/.f64 #s(literal 1 binary64) (*.f64 b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)))
(fma.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(neg.f64 (/.f64 (+.f64 a b) (/.f64 b (/.f64 #s(literal -1 binary64) a))))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (*.f64 b a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 a b) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 (+.f64 a b) (*.f64 b a))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b)) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a a))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (/.f64 (+.f64 a b) b) a)
(/.f64 (+.f64 b a) (*.f64 b a))
(/.f64 (+.f64 b a) (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 #s(literal -1 binary64) a)))
(/.f64 (-.f64 (.f64 a (.f64 b a)) (.f64 (.f64 b a) (-.f64 #s(literal 0 binary64) b))) (.f64 (.f64 b a) (*.f64 b a)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (*.f64 (+.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 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 a b))) (*.f64 b a))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b)))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)) a)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a)))
(/.f64 (neg.f64 (/.f64 (+.f64 a b) b)) (-.f64 #s(literal 0 binary64) a))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (/.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (-.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (/.f64 (.f64 b (.f64 b b)) (.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a))))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 a (/.f64 b (/.f64 a b))) (+.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b)))) (+.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b (/.f64 a b)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 a (/.f64 b (/.f64 a b)))) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 (*.f64 (+.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 a b) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 a b)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 a b)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 a (/.f64 b (/.f64 a b))) (-.f64 #s(literal 1 binary64) (/.f64 a b)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 a (/.f64 b (/.f64 a b)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 a b))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 b (/.f64 a b))) (/.f64 b a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 a b) #s(literal -1 binary64)) (/.f64 b a))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 a (/.f64 b (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 a b))))
(*.f64 (+.f64 (/.f64 a (/.f64 b (/.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 a b) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(/.f64 a b)
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(pow.f64 (/.f64 b a) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) a))
(.f64 (pow.f64 b #s(literal -1/2 binary64)) (.f64 (pow.f64 b #s(literal -1/2 binary64)) a))
(*.f64 (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(.f64 (.f64 a (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))

simplify260.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4940×	`-lowering-.f32`
4940×	`-lowering-.f64`
2250×	`/-lowering-/.f32`
2250×	`/-lowering-/.f64`
1416×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	450
1	32	450
2	45	450
3	50	450
4	85	450
5	120	450
6	178	450
7	393	450
8	1610	450
9	4277	450
10	4652	450
11	5079	450
12	5941	450
13	7403	450
0	8341	450

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ 1 a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ (+ 1 (/ a b)) a)
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ (+ 1 (/ b a)) b)
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(/ 1 a)
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
(+ (/ 1 a) (/ 1 b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ a b)
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(* a (+ (/ 1 a) (/ 1 b)))
(/ a b)
(/ (+ a b) b)
(/ (+ a b) b)
(/ (+ a b) b)
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
1
(+ 1 (/ a b))
(+ 1 (/ a b))
(+ 1 (/ a b))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ -1 a)
(/.f64 #s(literal -1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ (+ 1 (/ a b)) a)
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ (+ 1 (/ b a)) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b a)) b)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(+ (/ 1 a) (/ 1 b))
(+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(* a (+ (/ 1 a) (/ 1 b)))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
(/ (+ a b) b)
(/.f64 (+.f64 b a) b)
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
1
#s(literal 1 binary64)
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(+ 1 (/ a b))
(+.f64 #s(literal 1 binary64) (/.f64 a b))
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)

eval78.0ms (0.2%)

Compiler: Compiled 6785 to 740 computations (89.1% saved)

prune61.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	399	5	404

Accuracy

100.0%

Counts

404 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	49.3%	(/.f64 #s(literal 1 binary64) b)
✓	50.8%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Compiler

Compiled 40 to 30 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	128	(/.f64 (/.f64 a b) a)

Rules

8×	`/-lowering-/.f32`
8×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-inverses`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	6	10
2	9	8
3	10	7
4	13	7
0	13	7

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (/ a b) a)
(/ a b)
a
b

Outputs
(/ (/ a b) a)
(/.f64 #s(literal 1 binary64) b)
(/ a b)
(/.f64 a b)
a
b

localize25.0ms (0.1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.6%	(/.f64 (/.f64 a b) a)

Results

20.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 7.0ms (93.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (/ (/ a b) a)>
#<alt (/ a b)>

Outputs
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ 1 b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>
#<alt (/ a b)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/ (/ a b) a)
0.0ms	a	@	-inf	(/ (/ a b) a)
0.0ms	a	@	inf	(/ (/ a b) a)
0.0ms	b	@	-inf	(/ (/ a b) a)
0.0ms	b	@	inf	(/ (/ a b) a)

rewrite172.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`-lowering-.f32`
1518×	`-lowering-.f64`
1264×	`/-lowering-/.f32`
1264×	`/-lowering-/.f64`
238×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	20	8
2	126	5
3	731	5
0	3182	5

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

2 → 179

Calls

Call 1

Inputs
(/ (/ a b) a)
(/ a b)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) b))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))) (.f64 #s(literal -1 binary64) (log.f64 a))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) b))
(neg.f64 (/.f64 #s(literal -1 binary64) b))
(/.f64 a (*.f64 a b))
(/.f64 (/.f64 a b) a)
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 #s(literal 1 binary64) b)
(/.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))
(/.f64 (.f64 a b) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) b))
(/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 (/.f64 a b) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 a b)) a))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (-.f64 #s(literal 0 binary64) a) (*.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) a)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (/.f64 a b))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) a))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (*.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) (/.f64 a b)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) a))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) a) a)) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a b))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b))) (.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b)))) (.f64 (-.f64 #s(literal 0 binary64) a) a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) b))) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) a) (-.f64 #s(literal 0 binary64) b))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (*.f64 a a))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) (.f64 a b))) (*.f64 a a))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a b))) a)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) a)) (/.f64 (/.f64 a b) (/.f64 b a)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (/.f64 #s(literal -1 binary64) a)) (/.f64 a b))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a b)) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 b #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal -1 binary64))
(.f64 a (/.f64 #s(literal 1 binary64) (.f64 a b)))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a))
(.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) (.f64 a b)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 a b))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) a)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 a b)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b a)))
(.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) a))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 b #s(literal -1/2 binary64)))
(.f64 (pow.f64 b #s(literal -1/2 binary64)) (.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 a b)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) a)) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) a) a) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 (/.f64 a b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (.f64 a a))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) (.f64 a a))) a)
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))) (.f64 b b))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))) b)
(+.f64 (/.f64 a b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 a b))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 a b))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 b)) (.f64 #s(literal -1 binary64) (log.f64 a))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 a b)
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a)))
(/.f64 (.f64 a b) (.f64 b b))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a b)) (.f64 (-.f64 #s(literal 0 binary64) b) b))
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a a)))
(/.f64 (.f64 a a) (.f64 a b))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 a b) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (-.f64 #s(literal 0 binary64) (.f64 a b)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) a) a) (-.f64 #s(literal 0 binary64) (.f64 a b)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b))) a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))) (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))))) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 a b) (/.f64 b a))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a))))) (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b)))
(/.f64 (*.f64 a (/.f64 a b)) a)
(/.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (.f64 a b)))
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 a b))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) a) (-.f64 #s(literal 0 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (-.f64 #s(literal 0 binary64) a)) a)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 a b) (/.f64 b a)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal 3 binary64))) (/.f64 (/.f64 a b) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) a) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 (*.f64 (/.f64 a b) a) a)
(/.f64 (*.f64 (/.f64 a b) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) a))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (*.f64 b b))))) (/.f64 (/.f64 a b) (/.f64 b a)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a b) (/.f64 b a)))) (/.f64 a b))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (.f64 a a))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 a a))) a)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -1 binary64) b)) (.f64 a a))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) b)) a)
(/.f64 (/.f64 a (/.f64 #s(literal -1 binary64) a)) (-.f64 #s(literal 0 binary64) (*.f64 a b)))
(/.f64 (/.f64 a (/.f64 b a)) a)
(/.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)))
(pow.f64 (/.f64 a b) #s(literal 1 binary64))
(pow.f64 (/.f64 b a) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 b a))) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (.f64 (/.f64 #s(literal -1 binary64) a) a))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 #s(literal 1 binary64) b) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a b) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) a)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) a))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 a b)) (/.f64 #s(literal 1 binary64) a)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b)) (*.f64 a a))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 a b)) (/.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) a)))
(.f64 (.f64 a a) (/.f64 #s(literal 1 binary64) (*.f64 a b)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 b #s(literal -1/2 binary64)) (.f64 (pow.f64 b #s(literal -1/2 binary64)) a))
(*.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) a) (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 a b)) (/.f64 #s(literal -1 binary64) a))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 a b))) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (/.f64 a b)) (/.f64 #s(literal 1 binary64) a))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) a)) (/.f64 #s(literal -1 binary64) (*.f64 a b)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) (/.f64 a b))) (/.f64 #s(literal -1 binary64) a))
(.f64 (.f64 a (pow.f64 b #s(literal -1/2 binary64))) (pow.f64 b #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64))) (pow.f64 (/.f64 a b) #s(literal 1/2 binary64)))
(*.f64 (/.f64 a (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 a (-.f64 #s(literal 0 binary64) (/.f64 b a))) (/.f64 #s(literal -1 binary64) a))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))) (.f64 b b))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b b))) b)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`
2×	`1-exp`
2×	`add-recip`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	120
1	8	120
0	8	120

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ 1 b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)

Outputs
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)
(/ a b)
(/.f64 a b)

eval25.0ms (0.1%)

Compiler: Compiled 2351 to 434 computations (81.5% saved)

prune32.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	227	5	232

Accuracy

100.0%

Counts

232 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 (/.f64 a b) a)
✓	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
✓	49.3%	(/.f64 #s(literal 1 binary64) b)
✓	50.8%	(/.f64 #s(literal 1 binary64) a)
✓	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Compiler

Compiled 178 to 86 computations (51.7% saved)

regimes17.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 (/.f64 a b) a)
(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 a b)) a)
(/.f64 (/.f64 (+.f64 a b) a) b)
(+.f64 (.f64 eps (-.f64 (.f64 (.f64 (+.f64 a b) (+.f64 a b)) (/.f64 #s(literal 1/2 binary64) (.f64 a b))) (/.f64 (.f64 (.f64 (+.f64 a b) #s(literal 1/2 binary64)) (+.f64 (.f64 a (.f64 b b)) (.f64 a (.f64 a b)))) (.f64 a (.f64 a (*.f64 b b)))))) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 (.f64 (+.f64 a b) eps) b) (expm1.f64 (.f64 eps a)))
(/.f64 (.f64 (expm1.f64 (.f64 eps (+.f64 a b))) (/.f64 eps (expm1.f64 (.f64 eps b)))) (expm1.f64 (.f64 eps a)))
(/.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 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

Calls

4 calls:

6.0ms	eps
4.0ms	b
4.0ms	a
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

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`eps`
100.0%	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))))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes8.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) b)
(/.f64 (/.f64 a b) a)

Outputs
(/.f64 #s(literal 1 binary64) b)
(/.f64 #s(literal 1 binary64) a)

Calls

3 calls:

4.0ms	a
2.0ms	eps
2.0ms	b

Results

Accuracy	Segments	Branch
82.5%	2	`a`
79.3%	2	`b`
56.0%	3	`eps`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) a)

Outputs
(/.f64 #s(literal 1 binary64) a)

Calls

3 calls:

1.0ms	a
1.0ms	eps
1.0ms	b

Results

Accuracy	Segments	Branch
50.8%	1	`eps`
50.8%	1	`b`
50.8%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch134.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
130.0ms	-2.1398112589970863e-181	-1.3415571735110553e-182

Results

88.0ms	80×	2	valid
10.0ms	16×	1	valid

Compiler

Compiled 117 to 94 computations (19.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-exp: 51.0ms (58.6% of total)

backward-pass: 18.0ms (20.7% of total)

ival-mult: 9.0ms (10.3% of total)

ival-sub: 4.0ms (4.6% of total)

ival-add: 2.0ms (2.3% of total)

ival-div: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	16	20
2	23	20
3	29	20
4	33	20
5	35	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

(if (<=.f64 a #s(literal -7848857843307815/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

Outputs

(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal -1 binary64) a))

(if (<=.f64 a #s(literal -7848857843307815/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))

(/.f64 #s(literal 1 binary64) a)

soundness1.1s (2.8%)

Rules

5754×	`-lowering-.f32`
5754×	`-lowering-.f64`
3588×	`/-lowering-/.f32`
3588×	`/-lowering-/.f64`
2990×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	46	18
2	99	18
3	179	18
4	443	18
5	911	18
6	1816	18
7	5697	18
0	8192	18
0	432	3184
1	1457	2966
2	5469	2946
0	8086	2946
0	32	199
1	231	188
2	2583	184
0	8344	184

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 73 to 53 computations (27.4% saved)

preprocess47.0ms (0.1%)

Remove: (sort a b)
Compiler: Compiled 140 to 88 computations (37.1% saved)

analyze293.0ms (0.8%)

sample30.6s (80.4%)

preprocess227.0ms (0.6%)

explain700.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify196.0ms (0.5%)

localize609.0ms (1.6%)

series43.0ms (0.1%)

rewrite365.0ms (1%)

simplify300.0ms (0.8%)

eval75.0ms (0.2%)

prune105.0ms (0.3%)

simplify228.0ms (0.6%)

localize798.0ms (2.1%)

series95.0ms (0.2%)

rewrite398.0ms (1%)

simplify313.0ms (0.8%)

eval193.0ms (0.5%)

prune153.0ms (0.4%)

simplify133.0ms (0.3%)

localize56.0ms (0.1%)

series4.0ms (0%)

rewrite196.0ms (0.5%)

simplify260.0ms (0.7%)

eval78.0ms (0.2%)

prune61.0ms (0.2%)

simplify4.0ms (0%)

localize25.0ms (0.1%)

series1.0ms (0%)

rewrite172.0ms (0.5%)

simplify7.0ms (0%)

eval25.0ms (0.1%)

prune32.0ms (0.1%)

regimes17.0ms (0%)

regimes8.0ms (0%)

regimes4.0ms (0%)

bsearch134.0ms (0.4%)

simplify13.0ms (0%)

soundness1.1s (2.8%)

preprocess47.0ms (0.1%)

end0.0ms (0%)

Profiling