Details

Time bar (total: 6.1s)

analyze329.0ms (5.4%)

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
25%74.9%0.1%6
49.9%49.9%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
71.8%28.1%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
85%14.8%0.1%13
87.8%12.1%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample70.0ms (1.1%)

Algorithm
intervals
Results
28.0ms75×body1024valid
17.0ms143×body128valid
6.0ms23×body512valid
3.0ms15×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify112.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01214
11214

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
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b
(*.f64 z (cos.f64 y))
0.1b
(*.f64 x (sin.f64 y))

rewrite80.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-sqr-sqrt_binary64_2828
pow1_binary64_2867 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
associate-*l*_binary64_2747 associate-*r*_binary64_2746
add-log-exp_binary64_2845
pow-prod-down_binary64_2877 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 unswap-sqr_binary64_2774 *-commutative_binary64_2737
sum-log_binary64_2897 flip3-+_binary64_2809 flip-+_binary64_2780 +-commutative_binary64_2736
Counts
3 → 47
Calls

3 calls:

8.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms
(*.f64 z (cos.f64 y))
8.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 730 to 175 computations (76% saved)

series426.0ms (6.9%)

Error
0.1b
Counts
3 → 32
Calls

3 calls:

225.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
89.0ms
(*.f64 x (sin.f64 y))
87.0ms
(*.f64 z (cos.f64 y))
Compiler

Compiled 748 to 476 computations (36.4% saved)

simplify103.0ms (1.7%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
05105852

prune81.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71879
Fresh000
Picked101
Done000
Total72880
Error
0.0b
Counts
80 → 8
Compiler

Compiled 1058 to 269 computations (74.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))

rewrite101.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_2837
23×add-sqr-sqrt_binary64_2828
15×add-cube-cbrt_binary64_2841 *-un-lft-identity_binary64_2806
11×pow1_binary64_2867
pow1/3_binary64_2888
add-exp-log_binary64_2844 swap-sqr_binary64_2773 associate-*l*_binary64_2747 associate-*r*_binary64_2746
add-log-exp_binary64_2845 add-cbrt-cube_binary64_2842 unswap-sqr_binary64_2774
pow-prod-down_binary64_2877 pow-prod-up_binary64_2876 pow-sqr_binary64_2779
pow2_binary64_2887 pow-plus_binary64_2869 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 *-commutative_binary64_2737
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms
(cbrt.f64 (cos.f64 y))
1.0ms
(cbrt.f64 (cos.f64 y))
1.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1730 to 366 computations (78.8% saved)

series333.0ms (5.4%)

Error
0.0b
Counts
4 → 16
Calls

4 calls:

88.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
87.0ms
(cbrt.f64 (cos.f64 y))
80.0ms
(cbrt.f64 (cos.f64 y))
64.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify98.0ms (1.6%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04872740
14872740

prune105.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New87289
Fresh077
Picked101
Done000
Total88997
Error
0.0b
Counts
97 → 9
Compiler

Compiled 1956 to 544 computations (72.2% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.2b
(pow.f64 (cos.f64 y) 2)
0.3b
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b
(cbrt.f64 (cos.f64 y))

rewrite94.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×cbrt-prod_binary64_2837
11×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
10×pow1_binary64_2867 add-exp-log_binary64_2844
add-cbrt-cube_binary64_2842 unpow-prod-down_binary64_2885 associate-*r*_binary64_2746
add-log-exp_binary64_2845
pow-unpow_binary64_2883 pow-prod-down_binary64_2877 prod-exp_binary64_2855 cbrt-unprod_binary64_2839
pow1/3_binary64_2888 unpow2_binary64_2871 sqr-pow_binary64_2778
pow-pow_binary64_2878 pow-to-exp_binary64_2875 pow-exp_binary64_2874 associate-*l*_binary64_2747 *-commutative_binary64_2737
Counts
4 → 66
Calls

4 calls:

11.0ms
(*.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms
(pow.f64 (cos.f64 y) 2)
2.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1449 to 639 computations (55.9% saved)

series348.0ms (5.7%)

Error
0.0b
Counts
4 → 20
Calls

4 calls:

121.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
102.0ms
(*.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
79.0ms
(cbrt.f64 (cos.f64 y))
28.0ms
(pow.f64 (cos.f64 y) 2)
Compiler

Compiled 810 to 571 computations (29.5% saved)

simplify133.0ms (2.2%)

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04835708
14835708

prune87.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh088
Picked011
Done000
Total86995
Error
0.0b
Counts
95 → 9
Compiler

Compiled 1588 to 605 computations (61.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))
0.3b
(cbrt.f64 (cos.f64 y))
0.4b
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)

rewrite82.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64_2837
11×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
unpow-prod-down_binary64_2885
pow1_binary64_2867 add-exp-log_binary64_2844
pow1/3_binary64_2888 add-log-exp_binary64_2845 add-cbrt-cube_binary64_2842
pow-unpow_binary64_2883
pow-pow_binary64_2878
pow-to-exp_binary64_2875 pow-exp_binary64_2874 sqr-pow_binary64_2778
Counts
4 → 57
Calls

4 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
1.0ms
(cbrt.f64 (cos.f64 y))
1.0ms
(cbrt.f64 (cos.f64 y))
1.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1865 to 515 computations (72.4% saved)

series426.0ms (6.9%)

Error
0.0b
Counts
4 → 16
Calls

4 calls:

128.0ms
(cbrt.f64 (cos.f64 y))
115.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
84.0ms
(cbrt.f64 (cos.f64 y))
79.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1247 to 689 computations (44.7% saved)

simplify105.0ms (1.7%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04869681
14869681

prune98.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh077
Picked011
Done011
Total73982
Error
0.0b
Counts
82 → 9
Compiler

Compiled 2196 to 637 computations (71% saved)

regimes308.0ms (5%)

Accuracy

Total 0.1b remaining (77.1%)

Threshold costs 0.1b (77.1%)

Compiler

Compiled 2368 to 1606 computations (32.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
11214

end0.0ms (0%)

sample2.6s (41.7%)

Algorithm
intervals
Results
736.0ms2004×body1024valid
377.0ms4560×body128valid
234.0ms930×body512valid
83.0ms501×body256valid
3.0msbody2048valid
Compiler

Compiled 605 to 413 computations (31.7% saved)

Profiling

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