Details

Time bar (total: 3.1s)

analyze103.0ms (3.4%)

Algorithm
1×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 20 to 11 computations (45% saved)

sample29.0ms (0.9%)

Algorithm
1×intervals
Results
14.0ms256×body128valid
5.0ms256×pre128true
0.0ms2×pre128false
Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify67.0ms (2.2%)

Algorithm
1×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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
12.7b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶12.7b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
12.7b
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a))))
Compiler

Compiled 79 to 45 computations (43% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓13.5b
(/.f64 b (*.f64 a a))

rewrite6.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
7×sqrt-prod_binary64
7×add-cbrt-cube_binary64
7×add-exp-log_binary64
6×*-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)))

series47.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

33.0ms
(/.f64 b (*.f64 a a))
14.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

simplify101.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
553×div-sub_binary64
385×associate-/l*_binary64
361×associate-/l/_binary64
322×*-commutative_binary64
270×fma-def_binary64
Counts
92 → 155
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0801190
11311118
22581118
36231118
419391118
525271118
642671118
752001118

prune35.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1532155
Fresh101
Picked101
Done000
Total1552157
Error
0.0b
Counts
157 → 2
Alt Table
StatusErrorProgram
12.7b
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))))
▶0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
Compiler

Compiled 876 to 428 computations (51.1% saved)

localize7.0ms (0.2%)

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)

rewrite12.0ms (0.4%)

Algorithm
1×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:

6.0ms
(/.f64 (/.f64 b a) a)
1.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

series47.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

33.0ms
(/.f64 (/.f64 b a) a)
13.0ms
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

simplify167.0ms (5.5%)

Algorithm
1×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 → 260
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01742231
13332103
26052031
313722007
417072002
525631952
644181922
749871922
848491922

prune83.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2591260
Fresh101
Picked011
Done000
Total2602262
Error
0.0b
Counts
262 → 2
Alt Table
StatusErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
▶0.0b
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
Compiler

Compiled 2681 to 1186 computations (55.8% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.3b
(/.f64 (/.f64 b a) a)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 11
Calls

1 calls:

0.0ms
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))

series1.1s (37.5%)

Counts
1 → 24
Calls

1 calls:

1.1s
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))

simplify84.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
649×fma-def_binary64
442×associate-/l/_binary64
302×sub-neg_binary64
244×unsub-neg_binary64
234×exp-sum_binary64
Counts
35 → 67
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032582
139551
282551
3257551
4979551
52625551
64587551
74827551

prune109.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3270327
Fresh000
Picked011
Done011
Total3272329
Error
0.0b
Counts
329 → 2
Alt Table
StatusErrorProgram
✓0.0b
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
✓0.0b
(expm1.f64 (log1p.f64 (sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))))
Compiler

Compiled 3303 to 1653 computations (50% saved)

regimes86.0ms (2.8%)

Accuracy

Total 0.0b remaining (33.3%)

Threshold costs 0.0b (33.3%)

Compiler

Compiled 1377 to 924 computations (32.9% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11016

end1.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample899.0ms (29.4%)

Algorithm
1×intervals
Results
403.0ms8000×body128valid
157.0ms8000×pre128true
3.0ms141×pre128false
Compiler

Compiled 61 to 40 computations (34.4% saved)

Profiling

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