Details

Time bar (total: 5.1s)

analyze256.0ms (5%)

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%)

Algorithm
intervals
Results
23.0ms64×body1024valid
10.0ms154×body128valid
6.0ms27×body512valid
2.0ms11×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify171.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
013914
113914

prune2.0ms (0%)

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)

localize9.0ms (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 (0.3%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_789
add-exp-log_binary64_805 pow1_binary64_828 *-un-lft-identity_binary64_767 add-cbrt-cube_binary64_803 add-cube-cbrt_binary64_802
associate-*l*_binary64_708 associate-*r*_binary64_707
add-log-exp_binary64_806
unswap-sqr_binary64_735 cbrt-unprod_binary64_800 prod-exp_binary64_816 *-commutative_binary64_698 pow-prod-down_binary64_838
sub-neg_binary64_760 cancel-sign-sub-inv_binary64_733 diff-log_binary64_859 flip--_binary64_742 flip3--_binary64_771
Counts
3 → 48
Calls

3 calls:

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

series238.0ms (4.7%)

Counts
3 → 9
Calls

3 calls:

133.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
56.0ms
(*.f64 z (sin.f64 y))
50.0ms
(*.f64 x (cos.f64 y))

simplify76.0ms (1.5%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04949635
14949635

prune517.0ms (10.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New441357
Fresh000
Picked011
Done000
Total441458

Merged error: 0.0b

Counts
58 → 14
Compiler

Compiled 3441 to 1975 computations (42.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.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))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_798
23×add-sqr-sqrt_binary64_789
15×*-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
11×pow1_binary64_828
pow1/3_binary64_849
associate-*l*_binary64_708 associate-*r*_binary64_707 swap-sqr_binary64_734 add-exp-log_binary64_805
unswap-sqr_binary64_735 add-log-exp_binary64_806 add-cbrt-cube_binary64_803
pow-prod-up_binary64_837 pow-prod-down_binary64_838 pow-sqr_binary64_740
pow2_binary64_848 cbrt-unprod_binary64_800 pow-plus_binary64_830 prod-exp_binary64_816 *-commutative_binary64_698
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms
(cbrt.f64 (cos.f64 y))
2.0ms
(cbrt.f64 (cos.f64 y))
2.0ms
(cbrt.f64 (cos.f64 y))

series533.0ms (10.4%)

Counts
4 → 12
Calls

4 calls:

189.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
119.0ms
(cbrt.f64 (cos.f64 y))
117.0ms
(cbrt.f64 (cos.f64 y))
108.0ms
(cbrt.f64 (cos.f64 y))

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04955772
14955772

prune165.0ms (3.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh3912
Picked011
Done011
Total861399

Merged error: 0.0b

Counts
99 → 13
Compiler

Compiled 3156 to 1383 computations (56.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite25.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
22×add-exp-log_binary64_805
13×add-sqr-sqrt_binary64_789
12×prod-exp_binary64_816
11×*-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
10×add-cbrt-cube_binary64_803
associate-*r*_binary64_707 pow1_binary64_828
cbrt-unprod_binary64_800 cbrt-prod_binary64_798
pow-exp_binary64_835
associate-*l*_binary64_708 add-log-exp_binary64_806
pow-to-exp_binary64_836 unpow-prod-down_binary64_846 pow-unpow_binary64_844
*-commutative_binary64_698 pow-prod-down_binary64_838
unswap-sqr_binary64_735 pow1/3_binary64_849 unpow1/3_binary64_834 sqr-pow_binary64_739 unpow2_binary64_832 pow-pow_binary64_839
Counts
4 → 72
Calls

4 calls:

11.0ms
(*.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))

series269.0ms (5.3%)

Counts
4 → 12
Calls

4 calls:

126.0ms
(cbrt.f64 (cos.f64 y))
60.0ms
(*.f64 (*.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
59.0ms
(*.f64 z (sin.f64 y))
24.0ms
(pow.f64 (cos.f64 y) 2)

simplify90.0ms (1.8%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04905705
14905705

prune82.0ms (1.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh01010
Picked011
Done022
Total841397

Merged error: 0.0b

Counts
97 → 13
Compiler

Compiled 1681 to 715 computations (57.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (*.f64 x (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 (cos.f64 y))
0.3b
(cbrt.f64 (pow.f64 (cos.f64 y) 2))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod_binary64_798
11×add-sqr-sqrt_binary64_789 *-un-lft-identity_binary64_767 add-cube-cbrt_binary64_802
10×add-exp-log_binary64_805 pow1_binary64_828
associate-*r*_binary64_707 unpow-prod-down_binary64_846 add-cbrt-cube_binary64_803
add-log-exp_binary64_806
cbrt-unprod_binary64_800 prod-exp_binary64_816 pow-unpow_binary64_844 pow-prod-down_binary64_838
pow1/3_binary64_849 sqr-pow_binary64_739 unpow2_binary64_832
associate-*l*_binary64_708 pow-to-exp_binary64_836 pow-exp_binary64_835 *-commutative_binary64_698 pow-pow_binary64_839
Counts
4 → 66
Calls

4 calls:

10.0ms
(*.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))

series393.0ms (7.7%)

Counts
4 → 12
Calls

4 calls:

187.0ms
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
118.0ms
(cbrt.f64 (cos.f64 y))
66.0ms
(*.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
22.0ms
(pow.f64 (cos.f64 y) 2)

simplify75.0ms (1.5%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04887685
14887685

prune65.0ms (1.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh099
Picked011
Done033
Total781391

Merged error: 0.0b

Counts
91 → 13
Compiler

Compiled 1368 to 500 computations (63.5% saved)

regimes103.0ms (2%)

Compiler

Compiled 836 to 598 computations (28.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714

end0.0ms (0%)

sample1.8s (35.4%)

Algorithm
intervals
Results
716.0ms1961×body1024valid
326.0ms4516×body128valid
229.0ms1006×body512valid
76.0ms512×body256valid
4.0msbody2048valid
Compiler

Compiled 222 to 161 computations (27.5% saved)

Profiling

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