Details

Time bar (total: 5.2s)

analyze295.0ms (5.6%)

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
31.2%68.6%0.1%6
43.7%56.2%0.1%7
59.3%40.6%0.1%8
59.3%40.6%0.1%9
68.6%31.2%0.1%10
78%21.8%0.1%11
78%21.8%0.1%12
83.5%16.4%0.1%13
88.5%11.3%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample48.0ms (0.9%)

Algorithm
intervals
Results
17.0ms178×body128valid
15.0ms40×body1024valid
5.0ms22×body512valid
2.0ms16×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify182.0ms (3.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
020814
120814

prune3.0ms (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 2 expressions with local error:

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

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_4590
add-sqr-sqrt_binary64_4573
*-un-lft-identity_binary64_4551 pow1_binary64_4612 add-exp-log_binary64_4589 add-cbrt-cube_binary64_4587 add-cube-cbrt_binary64_4586
associate-*r*_binary64_4491 associate-*l*_binary64_4492
diff-log_binary64_4643
sum-log_binary64_4642 flip--_binary64_4526 *-commutative_binary64_4482 prod-exp_binary64_4600 unswap-sqr_binary64_4519 cbrt-unprod_binary64_4584 associate--l+_binary64_4488 flip3--_binary64_4555 sub-neg_binary64_4544 pow-prod-down_binary64_4622 cancel-sign-sub-inv_binary64_4517
Counts
2 → 32
Calls

2 calls:

9.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
6.0ms
(*.f64 z (sin.f64 y))

series168.0ms (3.2%)

Counts
2 → 6
Calls

2 calls:

98.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.0ms
(*.f64 z (sin.f64 y))

simplify75.0ms (1.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05002505

prune114.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32638
Fresh000
Picked011
Done000
Total32739

Merged error: 0.0b

Counts
39 → 7
Compiler

Compiled 1547 to 804 computations (48% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))
0.6b
(cbrt.f64 (sin.f64 y))

rewrite20.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_4582
23×add-sqr-sqrt_binary64_4573
15×*-un-lft-identity_binary64_4551 add-cube-cbrt_binary64_4586
11×pow1_binary64_4612
pow1/3_binary64_4633
swap-sqr_binary64_4518 associate-*r*_binary64_4491 add-exp-log_binary64_4589 associate-*l*_binary64_4492
unswap-sqr_binary64_4519 add-log-exp_binary64_4590 add-cbrt-cube_binary64_4587
pow-prod-down_binary64_4622 pow-sqr_binary64_4524 pow-prod-up_binary64_4621
pow2_binary64_4632 *-commutative_binary64_4482 prod-exp_binary64_4600 pow-plus_binary64_4614 cbrt-unprod_binary64_4584
Counts
4 → 73
Calls

4 calls:

8.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 (sin.f64 y))
2.0ms
(cbrt.f64 (sin.f64 y))

series579.0ms (11%)

Counts
4 → 12
Calls

4 calls:

174.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
140.0ms
(cbrt.f64 (sin.f64 y))
136.0ms
(cbrt.f64 (sin.f64 y))
129.0ms
(cbrt.f64 (sin.f64 y))

simplify100.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04883797
14883797

prune131.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh145
Picked101
Done011
Total85792

Merged error: 0.0b

Counts
92 → 7
Compiler

Compiled 2451 to 894 computations (63.5% 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))))
8.1b
(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b
(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite23.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_4612
10×add-sqr-sqrt_binary64_4573
pow1/3_binary64_4633
*-un-lft-identity_binary64_4551 add-cube-cbrt_binary64_4586
cbrt-prod_binary64_4582
add-exp-log_binary64_4589
swap-sqr_binary64_4518 add-log-exp_binary64_4590 associate-*r*_binary64_4491 add-cbrt-cube_binary64_4587 associate-*l*_binary64_4492
pow-prod-down_binary64_4622 pow-sqr_binary64_4524 pow-prod-up_binary64_4621
pow2_binary64_4632 *-commutative_binary64_4482 prod-exp_binary64_4600 unswap-sqr_binary64_4519 pow-plus_binary64_4614 cbrt-unprod_binary64_4584
Counts
4 → 58
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
4.0ms
(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)))

series850.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

263.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
200.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
196.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
191.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify84.0ms (1.6%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04868687
14868687

prune93.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh145
Picked101
Done011
Total71677

Merged error: 0b

Counts
77 → 6
Compiler

Compiled 2008 to 572 computations (71.5% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 (sin.f64 y))
8.1b
(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b
(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64_4582
*-un-lft-identity_binary64_4551 add-sqr-sqrt_binary64_4573 add-cube-cbrt_binary64_4586
pow1_binary64_4612 add-log-exp_binary64_4590 add-exp-log_binary64_4589 add-cbrt-cube_binary64_4587 pow1/3_binary64_4633
Counts
4 → 40
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
2.0ms
(cbrt.f64 (sin.f64 y))
1.0ms
(cbrt.f64 z)

series667.0ms (12.7%)

Counts
4 → 12
Calls

4 calls:

202.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
189.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
144.0ms
(cbrt.f64 z)
131.0ms
(cbrt.f64 (sin.f64 y))

simplify90.0ms (1.7%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05202461

prune50.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done011
Total52658

Merged error: 0b

Counts
58 → 6
Compiler

Compiled 1380 to 250 computations (81.9% saved)

regimes71.0ms (1.3%)

Compiler

Compiled 456 to 326 computations (28.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714

end0.0ms (0%)

sample1.5s (28.7%)

Algorithm
intervals
Results
480.0ms1295×body1024valid
423.0ms5672×body128valid
160.0ms690×body512valid
52.0ms334×body256valid
8.0msbody2048valid
Compiler

Compiled 127 to 93 computations (26.8% saved)

Profiling

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