Details

Time bar (total: 5.6s)

analyze386.0ms (6.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049356
149356
033
133
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
Symmetry
Compiler

Compiled 10 to 9 computations (10% saved)

sample49.0ms (0.9%)

Algorithm
intervals
Results
17.0ms61×body1024valid
10.0ms145×body128valid
6.0ms31×body512valid
3.0ms19×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
015914
115914

prune3.0ms (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)

localize8.0ms (0.1%)

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))

rewrite61.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×add-sqr-sqrt_binary64_7602
pow1_binary64_7641 add-exp-log_binary64_7618 add-cbrt-cube_binary64_7616 add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
associate-*l*_binary64_7521 associate-*r*_binary64_7520
add-log-exp_binary64_7619
pow-prod-down_binary64_7651 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 unswap-sqr_binary64_7548 *-commutative_binary64_7511
diff-log_binary64_7672 flip3--_binary64_7584 sub-neg_binary64_7573 flip--_binary64_7555 cancel-sign-sub-inv_binary64_7546
Counts
3 → 48
Calls

3 calls:

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

Compiled 741 to 179 computations (75.8% saved)

series377.0ms (6.7%)

Error
0.1b
Counts
3 → 34
Calls

3 calls:

210.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
76.0ms
(*.f64 x (cos.f64 y))
69.0ms
(*.f64 z (sin.f64 y))
Compiler

Compiled 842 to 545 computations (35.3% saved)

simplify111.0ms (2%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
04869927
14869927

prune73.0ms (1.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New701282
Fresh000
Picked101
Done000
Total711283
Error
0.0b
Counts
83 → 12
Compiler

Compiled 1209 to 349 computations (71.1% saved)

localize14.0ms (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))

rewrite89.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64_7611
23×add-sqr-sqrt_binary64_7602
15×add-cube-cbrt_binary64_7615 *-un-lft-identity_binary64_7580
11×pow1_binary64_7641
pow1/3_binary64_7662
add-exp-log_binary64_7618 swap-sqr_binary64_7547 associate-*l*_binary64_7521 associate-*r*_binary64_7520
add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616 unswap-sqr_binary64_7548
pow-prod-down_binary64_7651 pow-prod-up_binary64_7650 pow-sqr_binary64_7553
pow2_binary64_7661 pow-plus_binary64_7643 prod-exp_binary64_7629 cbrt-unprod_binary64_7613 *-commutative_binary64_7511
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)

series295.0ms (5.3%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

74.0ms
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
73.0ms
(cbrt.f64 (cos.f64 y))
72.0ms
(cbrt.f64 (cos.f64 y))
63.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify94.0ms (1.7%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04815730
14815730

prune87.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh11011
Picked101
Done000
Total8812100
Error
0.0b
Counts
100 → 12
Compiler

Compiled 2015 to 577 computations (71.4% saved)

localize18.0ms (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)

rewrite81.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64_7611
11×add-cube-cbrt_binary64_7615 add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580
unpow-prod-down_binary64_7659
pow1_binary64_7641 add-exp-log_binary64_7618
pow1/3_binary64_7662 add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616
pow-unpow_binary64_7657
pow-pow_binary64_7652
pow-to-exp_binary64_7649 pow-exp_binary64_7648 sqr-pow_binary64_7552
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 1808 to 522 computations (71.1% saved)

series302.0ms (5.4%)

Error
0.0b
Counts
4 → 14
Calls

4 calls:

94.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
71.0ms
(cbrt.f64 (cos.f64 y))
66.0ms
(cbrt.f64 (cos.f64 y))
57.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1077 to 623 computations (42.2% saved)

simplify82.0ms (1.5%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04792661
14792661

prune95.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh11011
Picked101
Done000
Total721183
Error
0.0b
Counts
83 → 11
Compiler

Compiled 2258 to 748 computations (66.9% saved)

localize21.0ms (0.4%)

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)

rewrite91.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64_7611
11×add-cube-cbrt_binary64_7615 add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580
unpow-prod-down_binary64_7659
pow1_binary64_7641 add-exp-log_binary64_7618
pow1/3_binary64_7662 add-log-exp_binary64_7619 add-cbrt-cube_binary64_7616
pow-unpow_binary64_7657
pow-pow_binary64_7652
pow-to-exp_binary64_7649 pow-exp_binary64_7648 sqr-pow_binary64_7552
Counts
4 → 57
Calls

4 calls:

5.0ms
(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 1922 to 636 computations (66.9% saved)

series324.0ms (5.8%)

Error
0.0b
Counts
4 → 14
Calls

4 calls:

97.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)
74.0ms
(cbrt.f64 (cos.f64 y))
73.0ms
(cbrt.f64 (cos.f64 y))
61.0ms
(cbrt.f64 (cos.f64 y))
Compiler

Compiled 1157 to 703 computations (39.2% saved)

simplify77.0ms (1.4%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04792661
14792661

prune87.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh01010
Picked011
Done000
Total711182
Error
0.0b
Counts
82 → 11
Compiler

Compiled 2208 to 765 computations (65.4% saved)

regimes376.0ms (6.7%)

Accuracy

Total 0.1b remaining (78.7%)

Threshold costs 0.1b (78.7%)

Compiler

Compiled 4072 to 2502 computations (38.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03714
13714
Removed

()

end0.0ms (0%)

sample2.4s (42.4%)

Algorithm
intervals
Results
560.0ms1950×body1024valid
350.0ms4593×body128valid
191.0ms953×body512valid
69.0ms501×body256valid
2.0msbody2048valid
Compiler

Compiled 1031 to 637 computations (38.2% saved)

Profiling

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