Details

Time bar (total: 5.9s)

analyze338.0ms (5.7%)

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
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.8%)

Algorithm
intervals
Results
19.0ms69×body1024valid
10.0ms143×body128valid
6.0ms29×body512valid
2.0ms15×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify107.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
015914
115914

prune5.0ms (0.1%)

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)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite38.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_2828
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841 pow1_binary64_2867
associate-*l*_binary64_2747 associate-*r*_binary64_2746
add-log-exp_binary64_2845
*-commutative_binary64_2737 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow-prod-down_binary64_2877 unswap-sqr_binary64_2774
cancel-sign-sub-inv_binary64_2772 flip3--_binary64_2810 diff-log_binary64_2898 sub-neg_binary64_2799 flip--_binary64_2781
Counts
3 → 48
Calls

3 calls:

16.0ms
(*.f64 x (cos.f64 y))
9.0ms
(*.f64 z (sin.f64 y))
8.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))

series201.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
63.0ms
(*.f64 z (sin.f64 y))
56.0ms
(*.f64 x (cos.f64 y))

simplify95.0ms (1.6%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04964635
14964635

prune62.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New461157
Fresh000
Picked101
Done000
Total471158
Error
0.0b
Counts
58 → 11
Compiler

Compiled 935 to 272 computations (70.9% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.5b
(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b
(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite20.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_2867
10×add-sqr-sqrt_binary64_2828
pow1/3_binary64_2888
*-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
cbrt-prod_binary64_2837
add-exp-log_binary64_2844
associate-*l*_binary64_2747 add-cbrt-cube_binary64_2842 swap-sqr_binary64_2773 add-log-exp_binary64_2845 associate-*r*_binary64_2746
pow-sqr_binary64_2779 pow-prod-up_binary64_2876 pow-prod-down_binary64_2877
*-commutative_binary64_2737 prod-exp_binary64_2855 cbrt-unprod_binary64_2839 pow2_binary64_2887 unswap-sqr_binary64_2774 pow-plus_binary64_2869
Counts
4 → 58
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

series654.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

173.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
168.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
167.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
146.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify134.0ms (2.3%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
05256678

prune73.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New69170
Fresh1910
Picked101
Done000
Total711081
Error
0.0b
Counts
81 → 10
Compiler

Compiled 1790 to 427 computations (76.1% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.7b
(cbrt.f64 (sin.f64 y))
6.5b
(cbrt.f64 (*.f64 z (sin.f64 y)))
6.5b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite23.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_2837
add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806 add-cube-cbrt_binary64_2841
add-exp-log_binary64_2844 pow1/3_binary64_2888 add-cbrt-cube_binary64_2842 add-log-exp_binary64_2845 pow1_binary64_2867
Counts
4 → 40
Calls

4 calls:

6.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
6.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 z)

series435.0ms (7.4%)

Counts
4 → 12
Calls

4 calls:

143.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
111.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
91.0ms
(cbrt.f64 (sin.f64 y))
90.0ms
(cbrt.f64 z)

simplify85.0ms (1.4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04933467
14933467

prune96.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh099
Picked011
Done000
Total521062
Error
0.0b
Counts
62 → 10
Compiler

Compiled 1521 to 357 computations (76.5% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite15.0ms (0.3%)

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

4 calls:

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

series379.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

123.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
87.0ms
(cbrt.f64 z)
85.0ms
(cbrt.f64 z)
84.0ms
(cbrt.f64 z)

simplify81.0ms (1.4%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04892563
14892563

prune123.0ms (2.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh268
Picked011
Done011
Total841195
Error
0.0b
Counts
95 → 11
Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes257.0ms (4.4%)

Accuracy

Total 0.1b remaining (68.6%)

Threshold costs 0.1b (68.6%)

Compiler

Compiled 1680 to 1154 computations (31.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714

end0.0ms (0%)

sample2.5s (43.1%)

Algorithm
intervals
Results
782.0ms2041×body1024valid
422.0ms4458×body128valid
281.0ms996×body512valid
90.0ms502×body256valid
2.0msbody2048valid
Compiler

Compiled 433 to 300 computations (30.7% saved)

Profiling

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