Details

Time bar (total: 2.5s)

analyze34.0ms (1.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%37.5%62.5%0
0%37.5%62.5%1
0%18.7%81.3%2
0%9.4%90.6%3
0%9.4%90.6%4
0%7%93%5
1.2%4.7%94.1%6
1.2%3.5%95.3%7
1.8%2.6%95.6%8
2%1.9%96%9
2.4%1.3%96.3%10
2.6%1%96.5%11
2.7%0.7%96.6%12
2.8%0.5%96.7%13
2.9%0.3%96.7%14
Compiler

Compiled 26 to 15 computations (42.3% saved)

sample80.0ms (3.3%)

Algorithm
intervals
Results
13.0ms256×body128valid
6.0ms256×pre128true
0.0ms10×pre128false
Compiler

Compiled 43 to 25 computations (41.9% saved)

simplify48.0ms (2%)

Algorithm
egg-herbie
Rules
704×fma-def_binary64
643×fma-neg_binary64
603×associate-/r*_binary64
566×associate-*l*_binary64
362×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0920
12617
26915
319415
446415
5152115
6478115
7516015

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
15.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
15.1b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
Compiler

Compiled 49 to 29 computations (40.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
14.5b
(/.f64 b (*.f64 a a))

series41.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 b (*.f64 a a))
12.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
sqrt-prod_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
*-un-lft-identity_binary64
Counts
2 → 44
Calls

2 calls:

3.0ms
(/.f64 b (*.f64 a a))
1.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

simplify93.0ms (3.8%)

Algorithm
egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
322×*-commutative_binary64
270×fma-def_binary64
Counts
92 → 53
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0801190
11311118
22581118
36231118
419391118
525271118
642671118
752001118

prune30.0ms (1.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New52153
Fresh000
Picked101
Done000
Total53154
Error
0.0b
Counts
54 → 1
Alt Table
StatusErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
Compiler

Compiled 868 to 419 computations (51.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.3b
(/.f64 (/.f64 b a) a)

series41.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

28.0ms
(/.f64 (/.f64 b a) a)
12.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
50×add-sqr-sqrt_binary64
46×*-un-lft-identity_binary64
46×add-cube-cbrt_binary64
13×associate-/l*_binary64
Counts
2 → 93
Calls

2 calls:

4.0ms
(/.f64 (/.f64 b a) a)
1.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

simplify141.0ms (5.8%)

Algorithm
egg-herbie
Rules
360×distribute-rgt-in_binary64
345×fma-neg_binary64
327×associate-/l/_binary64
305×distribute-lft-in_binary64
298×fma-def_binary64
Counts
141 → 146
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01742231
13332103
26052031
313722007
417072002
525631952
644181922
749871922
848491922

prune79.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1451146
Fresh000
Picked011
Done000
Total1452147
Error
0.0b
Counts
147 → 2
Alt Table
StatusErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.0b
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
Compiler

Compiled 2743 to 1215 computations (55.7% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.0b
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))))
0.0b
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
0.3b
(/.f64 (/.f64 b a) a)

series19.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

14.0ms
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
5.0ms
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))))

rewrite32.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt_binary64
54×sqrt-prod_binary64
28×fabs-mul_binary64
24×rem-sqrt-square_binary64
20×fabs-sqr_binary64
Counts
2 → 99
Calls

2 calls:

9.0ms
(*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))))
9.0ms
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))

simplify165.0ms (6.7%)

Algorithm
egg-herbie
Rules
468×fma-def_binary64
360×times-frac_binary64
305×fma-neg_binary64
271×associate-/l*_binary64
264×*-commutative_binary64
Counts
147 → 120
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01023229
11332475
22342315
35422194
416042080
535342080
648072066
749972066
848862066

prune528.0ms (21.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New5580558
Fresh000
Picked011
Done011
Total5582560
Error
0.0b
Counts
560 → 2
Alt Table
StatusErrorProgram
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.0b
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))) (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
Compiler

Compiled 22665 to 10221 computations (54.9% saved)

regimes145.0ms (5.9%)

Accuracy

Total 0.0b remaining (32.3%)

Threshold costs 0.0b (32.3%)

Counts
23 → 1
Compiler

Compiled 3772 to 2352 computations (37.6% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
1915

end0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample929.0ms (37.9%)

Algorithm
intervals
Results
382.0ms8000×body128valid
182.0ms8000×pre128true
10.0ms421×pre128false
Compiler

Compiled 87 to 52 computations (40.2% saved)

Profiling

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