Herbie run

Date:Thursday, April 3rd, 2025
Commit:753370c2 on random-cleanup
Seed:2025093
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:135 240.5 MB

Time bar (total: 2.3min)

sample1.5min (65%)

Memory
1 429.0MiB live, 83 178.1MiB allocated; 26.3s collecting garbage
Samples
24.2s44 327×2valid
16.1s96 985×1valid
15.7s147 229×0invalid
8.6s6 145×5exit
6.2s86 296×0valid
2.3s3 558×3valid
354.0ms4 356×0exit
152.0ms1 109×1exit
5.0ms2×4exit
3.0ms1×3exit
2.0ms2×4valid
Precisions
Click to see histograms. Total time spent on operations: 59.5s
ival-tan: 11.8s (19.8% of total)
ival-pow: 9.5s (16% of total)
adjust: 5.7s (9.6% of total)
ival-mult!: 3.9s (6.5% of total)
ival-cos: 3.6s (6.1% of total)
ival-div!: 3.4s (5.8% of total)
ival-log: 3.2s (5.3% of total)
ival-sin: 3.0s (5.1% of total)
ival-exp: 2.1s (3.5% of total)
ival-sqrt: 1.8s (3.1% of total)
ival-expm1: 1.8s (3.1% of total)
ival-add!: 1.8s (3% of total)
ival-fabs: 1.8s (3% of total)
ival-sub!: 1.7s (2.9% of total)
ival-log1p: 1.5s (2.5% of total)
ival-<=: 834.0ms (1.4% of total)
ival-<: 531.0ms (0.9% of total)
ival-atan: 451.0ms (0.8% of total)
ival-and: 339.0ms (0.6% of total)
ival-neg: 304.0ms (0.5% of total)
ival-cbrt: 255.0ms (0.4% of total)
ival-assert: 71.0ms (0.1% of total)
ival-fmin: 61.0ms (0.1% of total)
ival->: 1.0ms (0% of total)
Bogosity

rewrite20.0s (14.5%)

Memory
257.9MiB live, 18 397.2MiB allocated; 4.5s collecting garbage
Stop Event
264×iter-limit
108×node-limit
Counts
15 676 → 34 544

eval6.5s (4.7%)

Memory
90.1MiB live, 8 723.3MiB allocated; 2.3s collecting garbage
Compiler

Compiled 1 776 522 to 180 712 computations (89.8% saved)

explain5.0s (3.6%)

Memory
-46.2MiB live, 5 585.4MiB allocated; 823ms collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64#fcancellation410636
log.f64#fsensitivity7641
/.f64#fu/u4410
sqrt.f64#foflow-rescue4040
+.f64#fcancellation3341
/.f64#fu/n1310
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity670
-.f64#fnan-rescue180
sqrt.f64#fuflow-rescue160
/.f64(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))n/u160
↳(*.f64 b eps)underflow152
↳(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))underflow152
↳(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))underflow152
↳(*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))underflow228
↳(*.f64 a eps)underflow152
cos.f64(cos.f64 (+.f64 x eps))sensitivity31
/.f64(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))n/o30
↳(*.f64 x x)overflow62
exp.f64#fsensitivity33
tan.f64(tan.f64 (+.f64 x eps))sensitivity30
sin.f64(sin.f64 (+.f64 x eps))sensitivity20
/.f64(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))o/o10
↳(exp.f64 (*.f64 #s(literal 2 binary64) x))overflow1
↳(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))overflow1
↳(exp.f64 x)overflow1
↳(-.f64 (exp.f64 x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+519122
-1431812
Precision
0.973190851143607
Recall
0.9957797813159409
Confusion?
Predicted +Predicted MaybePredicted -
+5191175
-143251787
Precision?
0.96875
Recall?
0.9990408593899865
Freqs
test
numberfreq
01834
14544
2650
392
448
Total Confusion?
Predicted +Predicted MaybePredicted -
+2800
-000
Precision?
1.0
Recall?
1.0
Samples
1.3s2 700×2valid
996.0ms6 146×1valid
354.0ms5 248×0valid
168.0ms242×3valid
Compiler

Compiled 2 154 to 763 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-tan: 624.0ms (27.6% of total)
adjust: 262.0ms (11.6% of total)
ival-log: 204.0ms (9% of total)
ival-cos: 187.0ms (8.3% of total)
ival-exp: 143.0ms (6.3% of total)
ival-sin: 143.0ms (6.3% of total)
ival-div!: 130.0ms (5.7% of total)
ival-pow: 106.0ms (4.7% of total)
ival-sub!: 80.0ms (3.5% of total)
ival-mult!: 73.0ms (3.2% of total)
ival-sqrt: 72.0ms (3.2% of total)
ival-log1p: 66.0ms (2.9% of total)
ival-atan: 57.0ms (2.5% of total)
ival-add!: 54.0ms (2.4% of total)
ival-expm1: 32.0ms (1.4% of total)
ival-cbrt: 16.0ms (0.7% of total)
ival-neg: 12.0ms (0.5% of total)

series3.7s (2.7%)

Memory
234.1MiB live, 4 238.5MiB allocated; 647ms collecting garbage
Counts
2 733 → 12 943
Calls

501 calls:

TimeVariablePointExpression
102.0ms
c
@inf
((/ (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (* (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a)) (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (* c a) c a (* (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) a) (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg b_2) b_2 (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (neg a) (* b_2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) -1/2 (/ (/ (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (/ (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (- (* b_2 b_2) (* a c))) (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a)) (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg a) c) (/ (/ (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) a) (/ (- (* b_2 b_2) (* (sqrt (+ (* (neg a) c) (* b_2 b_2))) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))))) (- (neg b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2)))) (neg (sqrt (* (neg a) c))) (sqrt (* (neg a) c)))
71.0ms
eps
@-inf
((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (neg eps) eps (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) -1/2 (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (sin x) 2) (pow (cos x) 2) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) 1/6 (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (- (tan (+ x eps)) (tan x)) (tan eps) (- (tan (+ x eps)) (tan (+ x (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ x (PI))) (+ x (PI)) (PI) (- (tan (+ (+ (+ eps x) (PI)) (PI))) (tan x)) (tan (+ (+ (+ eps x) (PI)) (PI))) (+ (+ (+ eps x) (PI)) (PI)) (+ (+ eps x) (PI)) (+ eps x) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1))
57.0ms
eps
@inf
((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (neg eps) eps (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) -1/2 (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (sin x) 2) (pow (cos x) 2) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6 (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))))) 1) (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))))) 1/3 (* eps eps) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1)))) (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))) (+ (* 2/3 (* eps eps)) 1) 2/3 (* x (+ (* 4/3 (* eps eps)) 1)) (+ (* 4/3 (* eps eps)) 1) 4/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (* x (+ (* 4/3 (* x x)) 1)) (+ (* 4/3 (* x x)) 1) (* x x) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))
55.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n)) (/ (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) n) (/ (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x))) (- (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (pow (log x) 2)) (* (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)))) (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)) (log (+ 1 x)) x (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) 2 (pow (log x) 2) (log x) n (- (neg (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ 1 (exp (/ (neg (log x)) n))) (* n x)) (/ 1 (exp (/ (neg (log x)) n))) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (+ 1 (/ (log x) n)) (/ (+ n (log x)) n) (+ n (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (* (pow n -2) 1/2) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (/ (+ (* 1/2 (/ (exp (/ (log x) n)) (* x x))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (* x x))) (/ (exp (/ (log x) n)) x)))) (* n n)) (/ (- (pow x -1) (* 1/2 (pow x -2))) n) (- (pow x -1) (* 1/2 (pow x -2))) (pow x -1) -1 (* 1/2 (pow x -2)) (pow x -2) -2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n)) (/ (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) n) (+ (* -1 (+ (log (+ 1 x)) (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) (log x)) (- (log x) (* -1/2 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n)) -1/2 (/ (pow (log x) 2) n))
55.0ms
eps
@-inf
((- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (neg eps) eps (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x))) (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) (* (- 1 (neg (pow (tan x) 2))) (sin x)) (- 1 (neg (pow (tan x) 2))) 1 (neg (pow (tan x) 2)) (pow (tan x) 2) (tan x) x 2 (sin x) (cos x) -1/2 (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)) (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (sin x) 2) (pow (cos x) 2) -1 (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) 1/6 (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6)) (* (pow (tan x) 2) 1/6) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) 1) (neg (pow (tan x) 2))) eps) (- (tan (+ x eps)) (tan x)) (* (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) eps) (- (+ (* (+ (* (- (* (neg eps) (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)) -1/2) (/ (+ (* (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6) (sin x)) (* 1/6 (* (- 1 (neg (pow (tan x) 2))) (sin x)))) (cos x)))) (+ (+ (* (/ (* (- 1 (neg (pow (tan x) 2))) (pow (sin x) 2)) (pow (cos x) 2)) -1) (+ (* (- 1 (neg (pow (tan x) 2))) -1/2) (* (pow (tan x) 2) 1/6))) 1/6)) eps) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) eps) 1) (neg (pow (tan x) 2))) (+ (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))))) 1) (+ (* 1/3 (* eps eps)) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))))) 1/3 (* eps eps) (* x (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1)))) (+ (* eps (+ (* 2/3 (* eps eps)) 1)) (* x (+ (* 4/3 (* eps eps)) 1))) (+ (* 2/3 (* eps eps)) 1) 2/3 (* x (+ (* 4/3 (* eps eps)) 1)) (+ (* 4/3 (* eps eps)) 1) 4/3 (- (tan (+ x eps)) (tan x)) (* (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) eps) (- (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (neg (pow (tan x) 2))) (+ (* eps (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x)))) 1) (* 1 (/ (* (- 1 (neg (pow (tan x) 2))) (sin x)) (cos x))) (* x (+ (* 4/3 (* x x)) 1)) (+ (* 4/3 (* x x)) 1) (* x x) (- (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (tan x)) (+ (/ (tan x) (- 1 (* (tan x) (tan eps)))) (/ (tan eps) (- 1 (* (tan x) (tan eps))))) (/ (tan x) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps))) (* (tan x) (tan eps)) (tan eps) (/ (tan eps) (- 1 (* (tan x) (tan eps)))))

derivations3.7s (2.7%)

Memory
78.6MiB live, 2 991.0MiB allocated; 471ms collecting garbage
Stop Event
15×fuel
3×done
Compiler

Compiled 4 375 to 1 068 computations (75.6% saved)

regimes3.3s (2.4%)

Memory
99.7MiB live, 4 813.1MiB allocated; 673ms collecting garbage
Counts
3 877 → 327
Calls

43 calls:

961.0ms
x
410.0ms
eps
254.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
168.0ms
(exp.f64 x)
118.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 2 049 to 1 931 computations (5.8% saved)

prune2.4s (1.7%)

Memory
-95.7MiB live, 3 586.0MiB allocated; 629ms collecting garbage
Counts
42 410 → 1 626
Compiler

Compiled 105 352 to 51 379 computations (51.2% saved)

preprocess2.3s (1.7%)

Memory
-157.8MiB live, 1 845.0MiB allocated; 284ms collecting garbage
Stop Event
26×node-limit
2×saturated
Compiler

Compiled 10 818 to 3 656 computations (66.2% saved)

analyze1.4s (1%)

Memory
35.8MiB live, 1 873.9MiB allocated; 300ms collecting garbage
Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%61.1%38.9%0%0%0%0
7.4%4.5%56.6%38.9%0%0%0%1
22.3%13.6%47.5%38.9%0%0%0%2
40.2%23.5%34.9%38.9%0%2.7%0%3
53.4%31.1%27.2%38.9%0%2.8%0%4
63%36.3%21.3%38.9%0%3.6%0%5
65.9%37.5%19.4%38.9%0%4.2%0%6
70.4%38.8%16.3%38.9%0%6%0%7
73.6%40.2%14.4%38.9%0%6.5%0%8
76.3%40.9%12.7%38.9%0%7.5%0%9
78.4%41.4%11.4%38.9%0%8.3%0%10
81.1%42.4%9.9%38.9%0%8.8%0%11
82.3%42.7%9.2%38.9%0%9.3%0%12
Compiler

Compiled 483 to 337 computations (30.2% saved)

bsearch4.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 158 to 142 computations (10.1% saved)

start1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Profiling

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