Details

Time bar (total: 4.7s)

analyze1.9s (39.8%)

Algorithm
1×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%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Compiler

Compiled 22 to 14 computations (36.4% saved)

sample1.9s (39.5%)

Results
1.2s8256×body128valid
589.0ms3928×body128invalid
Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
89×fma-def_binary64
24×associate-+l+_binary64
22×associate-+r+_binary64
19×+-commutative_binary64
10×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01422
12716
26615
312213
415713
516413
616713
716713

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
2.0b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
▶1.5b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
Compiler

Compiled 105 to 60 computations (42.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
✓0.0b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
✓0.0b
(+.f64 x (*.f64 y z))
✓4.0b
(*.f64 (*.f64 a z) b)

series54.0ms (1.2%)

Counts
4 → 204
Calls

4 calls:

30.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
11.0ms
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
8.0ms
(*.f64 (*.f64 a z) b)
5.0ms
(+.f64 x (*.f64 y z))

rewrite24.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
20×add-log-exp_binary64
10×sum-log_binary64
9×fma-def_binary64
9×add-cbrt-cube_binary64
9×add-exp-log_binary64
Counts
4 → 73
Calls

4 calls:

11.0ms
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
4.0ms
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a))
4.0ms
(*.f64 (*.f64 a z) b)
2.0ms
(+.f64 x (*.f64 y z))

simplify75.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
846×fma-def_binary64
720×distribute-rgt-in_binary64
683×distribute-lft-in_binary64
194×cancel-sign-sub-inv_binary64
192×fma-neg_binary64
Counts
277 → 134
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352855
14062550
214742538
350452538

prune79.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh011
Picked011
Done000
Total1333136
Error
0b
Counts
136 → 3
Alt Table
StatusErrorProgram
▶2.0b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓1.5b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
2.5b
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
Compiler

Compiled 2753 to 504 computations (81.7% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.9b
(fma.f64 a (fma.f64 z b t) x)

series17.0ms (0.4%)

Counts
1 → 60
Calls

1 calls:

17.0ms
(fma.f64 a (fma.f64 z b t) x)

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 → 10
Calls

1 calls:

0.0ms
(fma.f64 a (fma.f64 z b t) x)

simplify107.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
890×distribute-rgt-in_binary64
886×distribute-lft-in_binary64
636×unswap-sqr_binary64
393×associate-*l*_binary64
336×associate-*r*_binary64
Counts
70 → 33
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033626
149607
2126607
3510607
43225607
53357607
63579607
73869607
84363607
94411607
105048607

prune23.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh011
Picked011
Done011
Total33336
Error
0b
Counts
36 → 3
Alt Table
StatusErrorProgram
✓2.0b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓1.5b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
▶2.5b
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
Compiler

Compiled 494 to 140 computations (71.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
✓2.4b
(fma.f64 z (fma.f64 a b y) x)

series56.0ms (1.2%)

Counts
2 → 132
Calls

2 calls:

42.0ms
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
14.0ms
(fma.f64 z (fma.f64 a b y) x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 z (fma.f64 a b y) x)
0.0ms
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))

simplify109.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
576×fma-def_binary64
520×associate-+r+_binary64
505×associate-*l*_binary64
470×associate-+l+_binary64
444×associate-*r*_binary64
Counts
152 → 52
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0561796
11031579
22361579
39061579
435481579
537711579
646611579
748881579
848881579

prune32.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done022
Total52355
Error
0b
Counts
55 → 3
Alt Table
StatusErrorProgram
✓2.0b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
✓1.5b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
✓2.5b
(fma.f64 a t (fma.f64 z (fma.f64 a b y) x))
Compiler

Compiled 681 to 147 computations (78.4% saved)

regimes276.0ms (5.9%)

Accuracy

Total 1.0b remaining (99.3%)

Threshold costs 0b (0%)

Counts
39 → 2
Compiler

Compiled 4046 to 2597 computations (35.8% saved)

bsearch10.0ms (0.2%)

Steps
ItersRangePoint
3
1.8740268470062993e-66
3.706696663002812e-64
1.921524085584738e-64
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01732
11732

end61.0ms (1.3%)

Compiler

Compiled 113 to 61 computations (46% saved)

Profiling

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