Details

Time bar (total: 26.2s)

analyze2.6s (9.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%90.4%9.6%9
0%45.2%54.8%10
0%45.2%54.8%11
0%45.2%54.8%12
0%45.2%54.8%13
0%44.4%55.6%14
Compiler

Compiled 25 to 18 computations (28% saved)

sample10.7s (40.9%)

Results
6.1s16886×body128invalid
3.3s7588×body128valid
359.0ms300×body512valid
215.0ms128×body1024valid
186.0ms140×body512invalid
156.0ms240×body256valid
92.0ms44×body1024invalid
81.0ms123×body256invalid
Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify62.0ms (0.2%)

Algorithm
egg-herbie
Rules
784×fma-def_binary64
557×associate-/l*_binary64
456×unswap-sqr_binary64
365×*-commutative_binary64
332×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01826
13425
27325
315825
440525
5125225
6277125
7452725
8511725

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
Compiler

Compiled 84 to 54 computations (35.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
0.0b
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
0.0b
(-.f64 (log.f64 z) t)
0.1b
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))

series2.1s (8.1%)

Counts
4 → 147
Calls

4 calls:

921.0ms
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
591.0ms
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
502.0ms
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
104.0ms
(-.f64 (log.f64 z) t)

rewrite115.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
295×expm1-udef_binary64
295×log1p-udef_binary64
212×fma-neg_binary64
172×add-sqr-sqrt_binary64
163×expm1-log1p-u_binary64
Counts
4 → 101
Calls

4 calls:

111.0ms
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
111.0ms
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
111.0ms
(-.f64 (log.f64 z) t)
111.0ms
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
133156
2396156
3503456
000
100

simplify198.0ms (0.8%)

Algorithm
egg-herbie
Rules
577×associate-*r*_binary64
477×fma-def_binary64
406×associate-*l*_binary64
223×associate-+l+_binary64
179×associate--r+_binary64
Counts
248 → 234
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03805949
113785411
252265411

prune391.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2331234
Fresh000
Picked011
Done000
Total2332235
Error
0.0b
Counts
235 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
23.5b
(-.f64 (+.f64 (*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))) (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)) (*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))))
Compiler

Compiled 8600 to 3388 computations (60.6% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
2.0b
(-.f64 (+.f64 (*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))) (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)) (*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))))
2.6b
(*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
5.5b
(log.f64 (-.f64 1 z))

series6.8s (26%)

Counts
4 → 90
Calls

4 calls:

3.2s
(-.f64 (+.f64 (*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))) (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)) (*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))))
2.1s
(*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
1.4s
(*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
5.0ms
(log.f64 (-.f64 1 z))

rewrite115.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
247×add-sqr-sqrt_binary64
233×log1p-expm1-u_binary64
233×expm1-log1p-u_binary64
229×add-log-exp_binary64
227×add-exp-log_binary64
Counts
4 → 85
Calls

4 calls:

106.0ms
(*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
106.0ms
(-.f64 (+.f64 (*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))) (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)) (*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))))
106.0ms
(*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)))
106.0ms
(log.f64 (-.f64 1 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022121
1482115
24951115
000
100

simplify366.0ms (1.4%)

Algorithm
egg-herbie
Rules
643×times-frac_binary64
440×*-commutative_binary64
350×associate-*r*_binary64
282×+-commutative_binary64
247×fma-def_binary64
Counts
175 → 242
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089512100
1332411861
2523811861

prune858.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3260326
Fresh000
Picked011
Done011
Total3262328
Error
0.0b
Counts
328 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
23.5b
(-.f64 (+.f64 (*.f64 (log.f64 z) (*.f64 y (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))) (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x)) (*.f64 y (*.f64 t (*.f64 (exp.f64 (-.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 a b))) x))))
Compiler

Compiled 28971 to 13434 computations (53.6% saved)

regimes1.7s (6.3%)

Accuracy

Total 0.0b remaining (1.5%)

Threshold costs 0.0b (1.5%)

Counts
87 → 1
Compiler

Compiled 28838 to 17250 computations (40.2% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
12625
23425
33925
44125
54125

end130.0ms (0.5%)

Compiler

Compiled 122 to 80 computations (34.4% saved)

Profiling

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