Details

Time bar (total: 6.5s)

analyze506.0ms (7.8%)

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
6.2%93.7%0.1%6
37.5%53.1%9.5%7
37.5%51.5%11%8
43.7%39.8%16.5%9
43.7%38.6%17.7%10
46.8%32.6%20.6%11
46.8%31.9%21.3%12
48.4%28.8%22.8%13
48.4%28.5%23.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (59.1%)

Results
1.1s2045×body1024valid
1.0s2069×body1024invalid
590.0ms4672×body128valid
336.0ms1038×body512invalid
336.0ms1035×body512valid
139.0ms501×body256valid
115.0ms530×body256invalid
105.0ms743×body128invalid
5.0msbody2048valid
1.0msbody2048invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify58.0ms (0.9%)

Algorithm
egg-herbie
Rules
804×fma-neg_binary64
610×div-sub_binary64
491×times-frac_binary64
410×associate-/l*_binary64
352×cancel-sign-sub-inv_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23411
37311
416011
536111
698411
7317711
8470111
9501011

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series52.0ms (0.8%)

Counts
3 → 48
Calls

3 calls:

31.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms
(/.f64 (sinh.f64 y) y)
8.0ms
(sinh.f64 y)

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×times-frac_binary64
19×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
3 → 74
Calls

3 calls:

6.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(sinh.f64 y)

simplify110.0ms (1.7%)

Algorithm
egg-herbie
Rules
550×fma-def_binary64
445×associate-/l*_binary64
383×times-frac_binary64
314×associate-*l/_binary64
249×fma-neg_binary64
Counts
122 → 127
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02142084
15391920
217661774
347021772
449561772

prune78.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh000
Picked011
Done000
Total1244128
Error
0b
Counts
128 → 4
Alt Table
StatusErrorProgram
13.6b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
18.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
Compiler

Compiled 2136 to 827 computations (61.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (pow.f64 y 4) (sin.f64 x))
0.1b
(*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x)))
0.1b
(*.f64 (pow.f64 y 2) (sin.f64 x))
0.2b
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))

series60.0ms (0.9%)

Counts
4 → 16
Calls

4 calls:

19.0ms
(*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x)))
16.0ms
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))
14.0ms
(*.f64 (pow.f64 y 4) (sin.f64 x))
11.0ms
(*.f64 (pow.f64 y 2) (sin.f64 x))

rewrite22.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64
23×add-sqr-sqrt_binary64
21×associate-*l*_binary64
20×prod-exp_binary64
18×add-cbrt-cube_binary64
Counts
4 → 98
Calls

4 calls:

5.0ms
(*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))
4.0ms
(*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x)))
4.0ms
(*.f64 (pow.f64 y 4) (sin.f64 x))
4.0ms
(*.f64 (pow.f64 y 2) (sin.f64 x))

simplify153.0ms (2.4%)

Algorithm
egg-herbie
Rules
803×fma-neg_binary64
492×fma-def_binary64
466×unswap-sqr_binary64
332×cancel-sign-sub-inv_binary64
281×associate-*r*_binary64
Counts
114 → 161
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891899
14621675
215411611
331611607
447941607
548271607
647541607
749231607
849161607

prune159.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done011
Total1614165
Error
0b
Counts
165 → 4
Alt Table
StatusErrorProgram
13.6b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
18.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
Compiler

Compiled 4500 to 2728 computations (39.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
13.7b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

series53.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

31.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
22.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite10.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 45
Calls

2 calls:

5.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
3.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))

simplify79.0ms (1.2%)

Algorithm
egg-herbie
Rules
812×fma-def_binary64
319×associate-/r*_binary64
282×associate-/l/_binary64
264×associate-/r/_binary64
242×fma-neg_binary64
Counts
93 → 91
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02111969
15651810
220821763
347161759
449531759

prune60.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh011
Picked011
Done022
Total1114115
Error
0b
Counts
115 → 4
Alt Table
StatusErrorProgram
13.6b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
18.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
Compiler

Compiled 2046 to 907 computations (55.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y)))
0.3b
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
0.3b
(*.f64 (sin.f64 x) (sin.f64 x))
18.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))

series157.0ms (2.4%)

Counts
4 → 72
Calls

4 calls:

103.0ms
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y)))
44.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
7.0ms
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
3.0ms
(*.f64 (sin.f64 x) (sin.f64 x))

rewrite93.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
206×add-cbrt-cube_binary64
203×add-exp-log_binary64
154×pow1_binary64
124×cbrt-unprod_binary64
124×prod-exp_binary64
Counts
4 → 215
Calls

4 calls:

21.0ms
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y)))
18.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
5.0ms
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x))
3.0ms
(*.f64 (sin.f64 x) (sin.f64 x))

simplify261.0ms (4%)

Algorithm
egg-herbie
Rules
426×associate-*l*_binary64
398×associate-*r*_binary64
246×fma-def_binary64
237×times-frac_binary64
214×*-commutative_binary64
Counts
287 → 272
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04659372
110715669
245975661
349505661

prune150.0ms (2.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2720272
Fresh000
Picked011
Done033
Total2724276
Error
0b
Counts
276 → 4
Alt Table
StatusErrorProgram
13.6b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
18.1b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (/.f64 (sinh.f64 y) y) (/.f64 (sinh.f64 y) y)) (/.f64 (sinh.f64 y) y))))
0.0b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.7b
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (sin.f64 x)))))
Compiler

Compiled 9263 to 2530 computations (72.7% saved)

regimes465.0ms (7.2%)

Accuracy

Total 0.0b remaining (47.8%)

Threshold costs 0.0b (47.8%)

Counts
84 → 1
Compiler

Compiled 7030 to 4584 computations (34.8% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end67.0ms (1%)

Compiler

Compiled 84 to 50 computations (40.5% saved)

Profiling

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