Details

Time bar (total: 4.5s)

analyze254.0ms (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)

sample51.0ms (1.1%)

Algorithm
intervals
Results
22.0ms62×body1024valid
9.0ms138×body128valid
8.0ms38×body512valid
3.0ms18×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify168.0ms (3.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01214
11214

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

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

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_7849
add-exp-log_binary64_7863 pow1_binary64_7886 add-cbrt-cube_binary64_7861 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
associate-*l*_binary64_7771 associate-*r*_binary64_7770
add-log-exp_binary64_7864
pow-prod-down_binary64_7896 *-commutative_binary64_7761 unswap-sqr_binary64_7796 cbrt-unprod_binary64_7858 prod-exp_binary64_7874
flip3-+_binary64_7831 flip-+_binary64_7802 +-commutative_binary64_7760 sum-log_binary64_7916
Counts
3 → 47
Calls

3 calls:

5.0ms
(*.f64 z (sin.f64 y))
5.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms
(*.f64 x (cos.f64 y))

series244.0ms (5.4%)

Counts
3 → 9
Calls

3 calls:

134.0ms
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.0ms
(*.f64 z (sin.f64 y))
51.0ms
(*.f64 x (cos.f64 y))

simplify75.0ms (1.7%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04831619
14831619

prune59.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New461056
Fresh000
Picked101
Done000
Total471057

Merged error: 0.0b

Counts
57 → 10
Compiler

Compiled 931 to 265 computations (71.5% saved)

localize14.0ms (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))
0.3b
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_7856
23×add-sqr-sqrt_binary64_7849
15×add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
11×pow1_binary64_7886
pow1/3_binary64_7907
add-exp-log_binary64_7863 swap-sqr_binary64_7795 associate-*l*_binary64_7771 associate-*r*_binary64_7770
add-cbrt-cube_binary64_7861 unswap-sqr_binary64_7796 add-log-exp_binary64_7864
pow-prod-down_binary64_7896 pow-sqr_binary64_7801 pow-prod-up_binary64_7895
pow-plus_binary64_7888 *-commutative_binary64_7761 cbrt-unprod_binary64_7858 prod-exp_binary64_7874 pow2_binary64_7906
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))

series548.0ms (12.2%)

Counts
4 → 12
Calls

4 calls:

183.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
126.0ms
(cbrt.f64 (cos.f64 y))
121.0ms
(cbrt.f64 (cos.f64 y))
118.0ms
(cbrt.f64 (cos.f64 y))

simplify83.0ms (1.8%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04906772
14906772

prune86.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh279
Picked011
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11
Compiler

Compiled 1971 to 567 computations (71.2% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 z (sin.f64 y))
0.2b
(*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b
(pow.f64 (cos.f64 y) 2)
0.3b
(cbrt.f64 (cos.f64 y))

rewrite29.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_7863
13×add-sqr-sqrt_binary64_7849
12×prod-exp_binary64_7874
11×add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
10×add-cbrt-cube_binary64_7861
pow1_binary64_7886 associate-*r*_binary64_7770
cbrt-prod_binary64_7856 cbrt-unprod_binary64_7858
pow-exp_binary64_7893
associate-*l*_binary64_7771 add-log-exp_binary64_7864
unpow-prod-down_binary64_7904 pow-unpow_binary64_7902 pow-to-exp_binary64_7894
pow-prod-down_binary64_7896 *-commutative_binary64_7761
sqr-pow_binary64_7800 pow-pow_binary64_7897 pow1/3_binary64_7907 unpow2_binary64_7890 unswap-sqr_binary64_7796 unpow1/3_binary64_7892
Counts
4 → 72
Calls

4 calls:

14.0ms
(*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
5.0ms
(*.f64 z (sin.f64 y))
3.0ms
(pow.f64 (cos.f64 y) 2)
1.0ms
(cbrt.f64 (cos.f64 y))

series248.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(cbrt.f64 (cos.f64 y))
59.0ms
(*.f64 z (sin.f64 y))
57.0ms
(*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
23.0ms
(pow.f64 (cos.f64 y) 2)

simplify68.0ms (1.5%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04822705
14822705

prune83.0ms (1.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh099
Picked011
Done011
Total841195

Merged error: 0.0b

Counts
95 → 11
Compiler

Compiled 1707 to 714 computations (58.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod_binary64_7856
11×add-sqr-sqrt_binary64_7849 add-cube-cbrt_binary64_7860 *-un-lft-identity_binary64_7828
10×add-exp-log_binary64_7863 pow1_binary64_7886
add-cbrt-cube_binary64_7861 unpow-prod-down_binary64_7904 associate-*r*_binary64_7770
add-log-exp_binary64_7864
pow-prod-down_binary64_7896 pow-unpow_binary64_7902 cbrt-unprod_binary64_7858 prod-exp_binary64_7874
sqr-pow_binary64_7800 pow1/3_binary64_7907 unpow2_binary64_7890
pow-pow_binary64_7897 pow-exp_binary64_7893 *-commutative_binary64_7761 pow-to-exp_binary64_7894 associate-*l*_binary64_7771
Counts
4 → 66
Calls

4 calls:

12.0ms
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms
(pow.f64 (cos.f64 y) 2)
3.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms
(cbrt.f64 (cos.f64 y))

series362.0ms (8.1%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
112.0ms
(cbrt.f64 (cos.f64 y))
54.0ms
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
23.0ms
(pow.f64 (cos.f64 y) 2)

simplify56.0ms (1.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04972852
14972852

prune74.0ms (1.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh268
Picked011
Done022
Total791089

Merged error: 0.0b

Counts
89 → 10
Compiler

Compiled 1464 to 583 computations (60.2% saved)

regimes70.0ms (1.6%)

Compiler

Compiled 600 to 381 computations (36.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01927
11927

end0.0ms (0%)

sample1.8s (40.2%)

Algorithm
intervals
Results
720.0ms1999×body1024valid
320.0ms4434×body128valid
220.0ms1038×body512valid
80.0ms526×body256valid
2.0msbody2048valid
Compiler

Compiled 225 to 147 computations (34.7% saved)

Profiling

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