Details

Time bar (total: 4.3s)

analyze442.0ms (10.2%)

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
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample126.0ms (2.9%)

Algorithm
intervals
Results
20.0ms66×body1024invalid
11.0ms189×body128valid
7.0ms20×body1024valid
5.0ms31×body512invalid
5.0ms30×body512valid
2.0ms17×body256valid
2.0ms12×body256invalid
1.0ms20×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify70.0ms (1.6%)

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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.2b
(*.f64 (sin.f64 x) (sinh.f64 y))
12.4b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series60.0ms (1.4%)

Counts
3 → 60
Calls

3 calls:

29.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
22.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms
(sinh.f64 y)

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
3 → 55
Calls

3 calls:

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

simplify86.0ms (2%)

Algorithm
egg-herbie
Rules
986×times-frac_binary64
754×fma-def_binary64
235×cancel-sign-sub-inv_binary64
207×fma-neg_binary64
140×sub-neg_binary64
Counts
115 → 116
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02092193
15572016
219571834
344561827
451321827

prune94.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1088116
Fresh000
Picked011
Done000
Total1089117
Error
0.0b
Counts
117 → 9
Alt Table
StatusErrorProgram
31.4b
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
35.0b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) 3))
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.1b
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) x)
44.0b
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) x)
13.2b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
1.1b
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
Compiler

Compiled 2214 to 986 computations (55.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series57.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

34.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
23.0ms
(/.f64 (sinh.f64 y) x)

rewrite13.0ms (0.3%)

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)

simplify104.0ms (2.4%)

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

prune97.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1382140
Fresh257
Picked101
Done011
Total1418149
Error
0b
Counts
149 → 8
Alt Table
StatusErrorProgram
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.1b
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) x)
44.0b
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) x)
1.0b
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
0.2b
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
31.4b
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
1.1b
(*.f64 (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
Compiler

Compiled 2429 to 900 computations (62.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
0.3b
(*.f64 (/.f64 1 x) (sin.f64 x))

series37.0ms (0.9%)

Counts
2 → 36
Calls

2 calls:

34.0ms
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
3.0ms
(*.f64 (/.f64 1 x) (sin.f64 x))

rewrite16.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×associate-*l*_binary64
16×add-cbrt-cube_binary64
13×prod-exp_binary64
Counts
2 → 64
Calls

2 calls:

7.0ms
(*.f64 (/.f64 1 x) (sin.f64 x))
6.0ms
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))

simplify76.0ms (1.8%)

Algorithm
egg-herbie
Rules
468×fma-neg_binary64
296×fma-def_binary64
288×*-commutative_binary64
283×associate-*l/_binary64
246×times-frac_binary64
Counts
100 → 126
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01761604
14511423
214001409
342241403
450801403

prune115.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh156
Picked011
Done011
Total1458153
Error
0b
Counts
153 → 8
Alt Table
StatusErrorProgram
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.1b
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) x)
44.0b
(/.f64 (*.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) (sin.f64 x)) x)
1.0b
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
0.2b
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
31.4b
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
9.5b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)))
Compiler

Compiled 2529 to 1235 computations (51.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (sinh.f64 y))
0.0b
(sinh.f64 y)
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series85.0ms (2%)

Counts
2 → 48
Calls

2 calls:

55.0ms
(/.f64 x (sinh.f64 y))
30.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite14.0ms (0.3%)

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))

simplify111.0ms (2.6%)

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

prune118.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2031204
Fresh235
Picked011
Done022
Total2057212
Error
0b
Counts
212 → 7
Alt Table
StatusErrorProgram
12.5b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
13.1b
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (sinh.f64 y)))) x)
1.0b
(*.f64 (*.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
0.8b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
0.2b
(*.f64 (sinh.f64 y) (*.f64 (/.f64 1 x) (sin.f64 x)))
31.3b
(/.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
9.5b
(*.f64 (sinh.f64 y) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)))
Compiler

Compiled 3469 to 1040 computations (70% saved)

regimes357.0ms (8.3%)

Accuracy

Total 0.1b remaining (64.8%)

Threshold costs 0.1b (64.8%)

Counts
80 → 1
Compiler

Compiled 4216 to 2673 computations (36.6% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
21211

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.2s (50.9%)

Algorithm
intervals
Results
651.0ms1968×body1024invalid
369.0ms6222×body128valid
230.0ms638×body1024valid
183.0ms1009×body512invalid
131.0ms717×body512valid
67.0ms503×body256invalid
52.0ms423×body256valid
48.0ms721×body128invalid
Compiler

Compiled 111 to 70 computations (36.9% saved)

Profiling

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