Details

Time bar (total: 16.4s)

analyze1.3s (8.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
0%95.2%4.8%7
3.1%91.3%5.6%8
4.7%87%8.3%9
7%84.1%8.9%10
8.2%81.5%10.3%11
9.6%79.8%10.7%12
10.2%78.3%11.4%13
10.2%78.1%11.6%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample12.9s (78.8%)

Results
10.3s4253×body8192exit
935.0ms6439×body128valid
574.0ms1077×body1024invalid
338.0ms609×body1024valid
247.0ms714×body512valid
179.0ms538×body512invalid
154.0ms494×body256valid
71.0ms237×body256invalid
70.0ms400×body128invalid
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify68.0ms (0.4%)

Algorithm
egg-herbie
Rules
694×fma-neg_binary64
544×times-frac_binary64
474×fma-def_binary64
461×associate-/l*_binary64
377×div-sub_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23711
37611
416611
539011
6110911
7371711
8473811
9494711
10491011

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series65.0ms (0.4%)

Counts
4 → 64
Calls

4 calls:

31.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
24.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms
(sinh.f64 y)
2.0ms
(sin.f64 x)

rewrite11.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
4 → 64
Calls

4 calls:

4.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
4.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms
(sin.f64 x)
1.0ms
(sinh.f64 y)

simplify90.0ms (0.6%)

Algorithm
egg-herbie
Rules
986×times-frac_binary64
815×fma-def_binary64
297×cancel-sign-sub-inv_binary64
154×fma-neg_binary64
153×sub-neg_binary64
Counts
128 → 134
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02212281
15902089
220631996
347061996
450181996

prune112.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1277134
Fresh000
Picked101
Done000
Total1287135
Error
0b
Counts
135 → 7
Alt Table
StatusErrorProgram
31.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
13.6b
(/.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x))))) x)
27.2b
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
39.2b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
12.5b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
Compiler

Compiled 2429 to 1096 computations (54.9% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 (sinh.f64 y) x)
0.0b
(sinh.f64 y)
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

series55.0ms (0.3%)

Counts
2 → 48
Calls

2 calls:

31.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
24.0ms
(/.f64 (sinh.f64 y) x)

rewrite13.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*l*_binary64
Counts
2 → 64
Calls

2 calls:

5.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
2.0ms
(/.f64 (sinh.f64 y) x)

simplify99.0ms (0.6%)

Algorithm
egg-herbie
Rules
475×fma-neg_binary64
396×associate-*l*_binary64
351×associate-/l*_binary64
321×associate-*l/_binary64
319×associate-*r*_binary64
Counts
112 → 121
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862017
14821865
213551682
344261676
449951676
549601676

prune104.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1561157
Fresh156
Picked011
Done000
Total1577164
Error
0b
Counts
164 → 7
Alt Table
StatusErrorProgram
31.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
1.3b
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))
27.2b
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
39.2b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
12.5b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
Compiler

Compiled 2608 to 975 computations (62.6% saved)

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 x (sinh.f64 y))
0.0b
(sinh.f64 y)
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series84.0ms (0.5%)

Counts
2 → 48
Calls

2 calls:

52.0ms
(/.f64 x (sinh.f64 y))
31.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64
53×*-un-lft-identity_binary64
53×add-sqr-sqrt_binary64
53×add-cube-cbrt_binary64
17×associate-/r*_binary64
Counts
2 → 106
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
2.0ms
(/.f64 x (sinh.f64 y))

simplify115.0ms (0.7%)

Algorithm
egg-herbie
Rules
725×fma-def_binary64
532×associate-/l*_binary64
520×associate-/r/_binary64
464×times-frac_binary64
433×associate-/l/_binary64
Counts
154 → 185
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02633335
16202983
219722866
348702858
453342858

prune299.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh055
Picked011
Done011
Total2217228
Error
0b
Counts
228 → 7
Alt Table
StatusErrorProgram
31.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
1.3b
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))
27.2b
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
39.2b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
12.5b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
Compiler

Compiled 3758 to 1178 computations (68.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x)
0.0b
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
0.0b
(fma.f64 1/120 (pow.f64 y 5) y)
0.2b
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))

series133.0ms (0.8%)

Counts
4 → 72
Calls

4 calls:

88.0ms
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))
38.0ms
(/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x)
4.0ms
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
4.0ms
(fma.f64 1/120 (pow.f64 y 5) y)

rewrite13.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
20×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64
19×times-frac_binary64
13×associate-*l*_binary64
Counts
4 → 83
Calls

4 calls:

5.0ms
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))
2.0ms
(/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x)
0.0ms
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
0.0ms
(fma.f64 1/120 (pow.f64 y 5) y)

simplify144.0ms (0.9%)

Algorithm
egg-herbie
Rules
696×fma-def_binary64
345×distribute-rgt-in_binary64
328×distribute-lft-in_binary64
317×cancel-sign-sub-inv_binary64
273×associate-/l*_binary64
Counts
155 → 150
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01903861
14523467
215743425
347013425
449763425

prune177.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh044
Picked011
Done022
Total1507157
Error
0b
Counts
157 → 7
Alt Table
StatusErrorProgram
31.6b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
1.3b
(*.f64 (/.f64 (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) x) (sin.f64 x))
27.2b
(/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 y) 3))) x)
39.2b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))
0.9b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
12.5b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
Compiler

Compiled 4113 to 2698 computations (34.4% saved)

regimes414.0ms (2.5%)

Accuracy

Total 0.1b remaining (68.3%)

Threshold costs 0.1b (68.3%)

Counts
111 → 1
Compiler

Compiled 6804 to 4174 computations (38.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end98.0ms (0.6%)

Compiler

Compiled 109 to 70 computations (35.8% saved)

Profiling

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