Details

Time bar (total: 2.7s)

analyze41.0ms (1.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
1.6%3.1%95.3%3
1.6%3.1%95.3%4
2.3%1.6%96.1%5
2.3%1.6%96.1%6
2.7%0.8%96.5%7
2.7%0.8%96.5%8
2.9%0.4%96.7%9
2.9%0.4%96.7%10
3%0.2%96.8%11
3%0.2%96.8%12
3.1%0.1%96.8%13
3.1%0.1%96.8%14
Compiler

Compiled 18 to 11 computations (38.9% saved)

sample21.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body128valid
5.0ms256×pre128true
0.0mspre128false
Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify166.0ms (6.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0483617
1483617

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
12.9b
Counts
2 → 1
Compiler

Compiled 24 to 17 computations (29.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
12.5b
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))

rewrite17.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
add-sqr-sqrt_binary64_3851
add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
add-log-exp_binary64_3868
times-frac_binary64_3835 pow1_binary64_3890 associate-/l*_binary64_3774
sqrt-prod_binary64_3845 difference-of-squares_binary64_3798
div-exp_binary64_3880 flip--_binary64_3804 associate-/l/_binary64_3776 flip3--_binary64_3833 cbrt-undiv_binary64_3863
div-inv_binary64_3826 cancel-sign-sub-inv_binary64_3795 rem-sqrt-square_binary64_3842 prod-exp_binary64_3878 clear-num_binary64_3828 div-sub_binary64_3834 pow1/2_binary64_3909 associate-/r*_binary64_3773 frac-2neg_binary64_3840 cbrt-unprod_binary64_3862 sqrt-pow1_binary64_3847 sub-neg_binary64_3822 diff-log_binary64_3921
Counts
3 → 52
Calls

3 calls:

8.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
4.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))

series342.0ms (12.5%)

Counts
3 → 30
Calls

3 calls:

178.0ms
(/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))
99.0ms
(-.f64 (*.f64 a a) (*.f64 b b))
65.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 562 to 526 computations (6.4% saved)

simplify55.0ms (2%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050661195

prune62.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283
Error
0b
Counts
83 → 2
Compiler

Compiled 1278 to 406 computations (68.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
0.0b
(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
0.1b
(*.f64 b (/.f64 b a))

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_3851
20×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
19×times-frac_binary64_3835
13×associate-*r*_binary64_3769
10×add-exp-log_binary64_3867 add-cbrt-cube_binary64_3865
pow1_binary64_3890
add-log-exp_binary64_3868 sqrt-prod_binary64_3845 associate-/l*_binary64_3774 associate-/r*_binary64_3773 associate-*l*_binary64_3770
div-inv_binary64_3826 div-exp_binary64_3880 unswap-sqr_binary64_3797 associate-/l/_binary64_3776 prod-exp_binary64_3878 cbrt-undiv_binary64_3863 cbrt-unprod_binary64_3862
pow-prod-down_binary64_3900 flip--_binary64_3804 rem-sqrt-square_binary64_3842 flip3--_binary64_3833 clear-num_binary64_3828 div-sub_binary64_3834 pow1/2_binary64_3909 associate-*r/_binary64_3771 *-commutative_binary64_3760 frac-2neg_binary64_3840 sqrt-pow1_binary64_3847
Counts
3 → 75
Calls

3 calls:

10.0ms
(*.f64 b (/.f64 b a))
5.0ms
(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))

series283.0ms (10.3%)

Counts
3 → 24
Calls

3 calls:

148.0ms
(/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)
68.0ms
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 a (*.f64 b (/.f64 b a))) a)))
67.0ms
(*.f64 b (/.f64 b a))
Compiler

Compiled 458 to 416 computations (9.2% saved)

simplify74.0ms (2.7%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049411438
149411438

prune68.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done000
Total992101
Error
0b
Counts
101 → 2
Compiler

Compiled 1572 to 528 computations (66.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
0.0b
(/.f64 a (-.f64 a (*.f64 b (/.f64 b a))))
0.0b
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
0.1b
(*.f64 b (/.f64 b a))

rewrite38.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
100×times-frac_binary64_3835
71×add-sqr-sqrt_binary64_3851
65×add-cube-cbrt_binary64_3864 *-un-lft-identity_binary64_3829
22×add-exp-log_binary64_3867
18×associate-/r*_binary64_3773
16×add-cbrt-cube_binary64_3865
13×associate-*r*_binary64_3769
11×associate-/r/_binary64_3775
div-exp_binary64_3880
pow1_binary64_3890
div-inv_binary64_3826
associate-/l*_binary64_3774
flip--_binary64_3804 flip3--_binary64_3833 cbrt-undiv_binary64_3863
add-log-exp_binary64_3868
sqrt-prod_binary64_3845 associate-*l*_binary64_3770
unswap-sqr_binary64_3797 1-exp_binary64_3873 prod-exp_binary64_3878 clear-num_binary64_3828 rec-exp_binary64_3879 frac-2neg_binary64_3840 cbrt-unprod_binary64_3862
pow-prod-down_binary64_3900 rem-sqrt-square_binary64_3842 pow1/2_binary64_3909 associate-*r/_binary64_3771 *-commutative_binary64_3760 sqrt-pow1_binary64_3847 inv-pow_binary64_3914 pow-flip_binary64_3903
Counts
4 → 158
Calls

4 calls:

8.0ms
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
8.0ms
(*.f64 b (/.f64 b a))
5.0ms
(/.f64 a (-.f64 a (*.f64 b (/.f64 b a))))
1.0ms
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))

series383.0ms (14%)

Counts
4 → 39
Calls

4 calls:

150.0ms
(/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))
101.0ms
(/.f64 a (-.f64 a (*.f64 b (/.f64 b a))))
72.0ms
(*.f64 b (/.f64 b a))
59.0ms
(sqrt.f64 (fabs.f64 (/.f64 1 (/.f64 a (-.f64 a (*.f64 b (/.f64 b a)))))))
Compiler

Compiled 785 to 725 computations (7.6% saved)

simplify102.0ms (3.7%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049883968
149883968

prune151.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done011
Total1972199
Error
0b
Counts
199 → 2
Compiler

Compiled 3901 to 1359 computations (65.2% saved)

regimes143.0ms (5.2%)

Accuracy

Total 0.0b remaining (86.3%)

Threshold costs 0.0b (86.3%)

Compiler

Compiled 1253 to 788 computations (37.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03717
13717

end0.0ms (0%)

sample743.0ms (27.1%)

Algorithm
intervals
Results
268.0ms8000×body128valid
157.0ms8000×pre128true
3.0ms133×pre128false
Compiler

Compiled 161 to 102 computations (36.6% saved)

Profiling

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