Details

Time bar (total: 5.2s)

analyze456.0ms (8.8%)

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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample152.0ms (2.9%)

Algorithm
intervals
Results
26.0ms65×body1024valid
20.0ms63×body1024invalid
9.0ms141×body128valid
7.0ms26×body512invalid
5.0ms26×body512valid
3.0ms24×body256valid
2.0ms19×body256invalid
2.0ms25×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify90.0ms (1.7%)

Algorithm
egg-herbie
Rules
855×fma-def_binary64
772×unswap-sqr_binary64
448×associate-/l*_binary64
363×times-frac_binary64
280×associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23211
36011
410711
516911
632711
780611
8210111
9221711
10259211
11415911
12453711
13491511
14495511
15491911

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series41.0ms (0.8%)

Counts
3 → 40
Calls

3 calls:

31.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms
(cosh.f64 x)
3.0ms
(/.f64 (sin.f64 y) y)

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
19×times-frac_binary64
19×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
3 → 75
Calls

3 calls:

6.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
1.0ms
(cosh.f64 x)

simplify97.0ms (1.9%)

Algorithm
egg-herbie
Rules
386×associate-*l*_binary64
380×associate-*l/_binary64
351×fma-def_binary64
347×associate-*r/_binary64
323×associate-*r*_binary64
Counts
115 → 135
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01851899
14501754
214131734
343511733
447051733
549901733

prune88.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1278135
Fresh000
Picked011
Done000
Total1279136
Error
0.0b
Counts
136 → 9
Alt Table
StatusErrorProgram
19.2b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))
1.4b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.7b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
33.9b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
1.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
32.9b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
Compiler

Compiled 2329 to 812 computations (65.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
0.0b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
0.2b
(*.f64 (sin.f64 y) (/.f64 1 y))

series34.0ms (0.7%)

Counts
2 → 36
Calls

2 calls:

31.0ms
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite15.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×associate-*r*_binary64
13×prod-exp_binary64
Counts
2 → 67
Calls

2 calls:

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

simplify97.0ms (1.9%)

Algorithm
egg-herbie
Rules
425×cancel-sign-sub-inv_binary64
393×fma-neg_binary64
325×fma-def_binary64
319×sub-neg_binary64
274×*-commutative_binary64
Counts
103 → 121
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701625
14191445
212671427
337011426
449751426
549801426

prune102.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh167
Picked011
Done011
Total1409149
Error
0.0b
Counts
149 → 9
Alt Table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.7b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
1.3b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (sin.f64 y) (*.f64 (cbrt.f64 (/.f64 1 y)) (cbrt.f64 (/.f64 1 y)))) (cbrt.f64 (/.f64 1 y))))
1.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
33.9b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
32.9b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
Compiler

Compiled 2498 to 1202 computations (51.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.3b
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.6b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)

series171.0ms (3.3%)

Counts
4 → 48
Calls

4 calls:

67.0ms
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
39.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
34.0ms
(cbrt.f64 y)
31.0ms
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
66×times-frac_binary64
53×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
45×add-cube-cbrt_binary64
43×cbrt-prod_binary64
Counts
4 → 152
Calls

4 calls:

6.0ms
(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
4.0ms
(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

simplify132.0ms (2.6%)

Algorithm
egg-herbie
Rules
590×fma-def_binary64
550×associate-/l*_binary64
500×associate-/r/_binary64
382×associate-*l/_binary64
335×fma-neg_binary64
Counts
200 → 256
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02153404
14432795
214202704
335792606
447892606
548602606

prune124.0ms (2.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2893292
Fresh156
Picked011
Done022
Total29011301
Error
0b
Counts
301 → 11
Alt Table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.7b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
39.2b
(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (*.f64 y y)) y)))
1.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
1.4b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
34.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))))
33.9b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Compiler

Compiled 6178 to 1937 computations (68.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 (cbrt.f64 y))

series297.0ms (5.7%)

Counts
2 → 24
Calls

2 calls:

260.0ms
(cbrt.f64 (cbrt.f64 y))
37.0ms
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod_binary64
add-cube-cbrt_binary64
add-exp-log_binary64
pow1_binary64
associate-*l*_binary64
Counts
2 → 41
Calls

2 calls:

6.0ms
(*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))
1.0ms
(cbrt.f64 (cbrt.f64 y))

simplify103.0ms (2%)

Algorithm
egg-herbie
Rules
651×associate-*l*_binary64
408×log-prod_binary64
368×associate-*r*_binary64
314×sqr-pow_binary64
296×fma-def_binary64
Counts
65 → 62
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
065839
1129839
2386807
31284500
41046500
51413500
62116486
74255486
84979486
94830486

prune96.0ms (1.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2110211
Fresh077
Picked011
Done033
Total21111222
Error
0b
Counts
222 → 11
Alt Table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
15.7b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
39.2b
(*.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (*.f64 y y)) y)))
1.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 y))))) (cbrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
1.4b
(*.f64 (cosh.f64 x) (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
34.2b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y))))
33.9b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
32.9b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
0.2b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Compiler

Compiled 5590 to 1612 computations (71.2% saved)

regimes217.0ms (4.2%)

Accuracy

Total 0.1b remaining (69.2%)

Threshold costs 0.1b (69.2%)

Counts
48 → 1
Compiler

Compiled 4260 to 2589 computations (39.2% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.8s (53.6%)

Algorithm
intervals
Results
747.0ms2042×body1024valid
673.0ms1983×body1024invalid
300.0ms4455×body128valid
199.0ms984×body512valid
177.0ms981×body512invalid
63.0ms494×body256invalid
61.0ms509×body256valid
48.0ms660×body128invalid
10.0ms10×body2048valid
Compiler

Compiled 197 to 115 computations (41.6% saved)

Profiling

Loading profile data...