Details

Time bar (total: 2.3s)

analyze472.0ms (20.6%)

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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.7%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify151.0ms (6.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×cancel-sign-sub-inv_binary64_3795 add-sqr-sqrt_binary64_3851
10×*-un-lft-identity_binary64_3829
add-cube-cbrt_binary64_3864 associate-+r+_binary64_3761 distribute-rgt-in_binary64_3779 distribute-lft-in_binary64_3778
associate-*r*_binary64_3769
add-log-exp_binary64_3868 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 pow1_binary64_3890 sub-neg_binary64_3822
associate-*l*_binary64_3770
associate-*r/_binary64_3771
flip3-+_binary64_3832 pow-prod-down_binary64_3900 flip--_binary64_3804 unswap-sqr_binary64_3797 sum-log_binary64_3920 flip-+_binary64_3803 prod-exp_binary64_3878 flip3--_binary64_3833 difference-of-squares_binary64_3798 distribute-lft-out--_binary64_3781 +-commutative_binary64_3759 *-commutative_binary64_3760 cbrt-unprod_binary64_3862
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 y z))
5.0ms
(+.f64 z (*.f64 x (-.f64 y z)))

series63.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

33.0ms
(*.f64 x (-.f64 y z))
29.0ms
(+.f64 z (*.f64 x (-.f64 y z)))

simplify82.0ms (3.6%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05130584

prune33.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh011
Picked011
Done000
Total54357
Error
0b
Counts
57 → 3
Compiler

Compiled 674 to 167 computations (75.2% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 1 x) z)
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))

rewrite27.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_3851
*-un-lft-identity_binary64_3829
associate-*l*_binary64_3770
add-log-exp_binary64_3868 add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 add-cube-cbrt_binary64_3864 pow1_binary64_3890
associate-*r*_binary64_3769
difference-of-squares_binary64_3798 associate-*l/_binary64_3772
flip3-+_binary64_3832 pow-prod-down_binary64_3900 flip--_binary64_3804 unswap-sqr_binary64_3797 sum-log_binary64_3920 flip-+_binary64_3803 prod-exp_binary64_3878 flip3--_binary64_3833 distribute-lft-out--_binary64_3781 +-commutative_binary64_3759 *-commutative_binary64_3760 cbrt-unprod_binary64_3862
Counts
2 → 34
Calls

2 calls:

14.0ms
(*.f64 (-.f64 1 x) z)
8.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))

series95.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 1 x) z))
40.0ms
(*.f64 (-.f64 1 x) z)

simplify72.0ms (3.1%)

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05022464

prune39.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done011
Total40343
Error
0b
Counts
43 → 3
Compiler

Compiled 553 to 254 computations (54.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))
0.1b
(*.f64 x (sqrt.f64 (-.f64 y z)))
0.2b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))

rewrite39.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
16×associate-*r*_binary64_3769 add-sqr-sqrt_binary64_3851
14×sqrt-div_binary64_3846
12×*-un-lft-identity_binary64_3829
11×sqrt-prod_binary64_3845
10×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865 pow1_binary64_3890 associate-*r/_binary64_3771
add-cube-cbrt_binary64_3864
flip--_binary64_3804 flip3--_binary64_3833
add-log-exp_binary64_3868
pow-prod-down_binary64_3900 prod-exp_binary64_3878 frac-times_binary64_3839 cbrt-unprod_binary64_3862 associate-*l*_binary64_3770
unswap-sqr_binary64_3797 difference-of-squares_binary64_3798 associate-*l/_binary64_3772 distribute-lft-out--_binary64_3781 *-commutative_binary64_3760
flip3-+_binary64_3832 sum-log_binary64_3920 flip-+_binary64_3803 +-commutative_binary64_3759
Counts
3 → 68
Calls

3 calls:

19.0ms
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
11.0ms
(*.f64 x (sqrt.f64 (-.f64 y z)))
3.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))

series182.0ms (7.9%)

Counts
3 → 9
Calls

3 calls:

96.0ms
(*.f64 x (sqrt.f64 (-.f64 y z)))
46.0ms
(*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
40.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))

simplify126.0ms (5.5%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
050891157

prune74.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done022
Total77380
Error
0b
Counts
80 → 3
Compiler

Compiled 1326 to 306 computations (76.9% saved)

regimes45.0ms (2%)

Accuracy

Total 0.0b remaining (62.5%)

Threshold costs 0.0b (62.5%)

Compiler

Compiled 140 to 122 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample730.0ms (31.9%)

Algorithm
intervals
Results
326.0ms8000×body128valid
29.0ms728×body128invalid
Compiler

Compiled 46 to 40 computations (13% saved)

Profiling

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