Details

Time bar (total: 2.8s)

analyze138.0ms (5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
49.9%49.9%0.2%3
49.9%49.9%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
74.9%25%0.2%7
74.9%25%0.2%8
74.9%25%0.2%9
74.9%25%0.2%10
87.3%12.5%0.2%11
87.3%12.5%0.2%12
87.3%12.5%0.2%13
87.3%12.5%0.2%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample906.0ms (32.9%)

Infinites
25.3% of outputs are infinite.
Results
687.0ms8256×body128valid
Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify66.0ms (2.4%)

Algorithm
egg-herbie
Rules
938×fma-def_binary64
721×fma-neg_binary64
220×cancel-sign-sub-inv_binary64
144×distribute-rgt-in_binary64
108×div-sub_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11611
23711
37211
414011
524211
639511
768211
8104911
9136811
10149211
11153011
12153611
13154111
14154111
15145611

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
1.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)
Compiler

Compiled 45 to 23 computations (48.9% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)

series18.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

18.0ms
(fma.f64 (/.f64 x y) (-.f64 z t) t)

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (/.f64 x y) (-.f64 z t) t)

simplify64.0ms (2.3%)

Algorithm
egg-herbie
Rules
550×distribute-rgt-neg-out_binary64
522×distribute-lft-neg-out_binary64
356×distribute-rgt-in_binary64
354×distribute-lft-in_binary64
297×times-frac_binary64
Counts
58 → 23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041730
185635
2196623
3466623
42285623
54620623
65293623

prune15.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21223
Fresh000
Picked011
Done000
Total21324
Error
0.0b
Counts
24 → 3
Alt Table
StatusErrorProgram
26.4b
(*.f64 x (/.f64 (-.f64 z t) y))
9.0b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 t x) y))
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)
Compiler

Compiled 322 to 101 computations (68.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 t x) y))
5.6b
(/.f64 (*.f64 z x) y)
5.7b
(/.f64 (*.f64 t x) y)

series97.0ms (3.5%)

Counts
3 → 12
Calls

3 calls:

20.0ms
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 t x) y))
14.0ms
(/.f64 (*.f64 z x) y)
12.0ms
(/.f64 (*.f64 t x) y)

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64
28×prod-diff_binary64
27×add-sqr-sqrt_binary64
25×add-cube-cbrt_binary64
21×times-frac_binary64
Counts
3 → 105
Calls

3 calls:

9.0ms
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 (*.f64 t x) y))
3.0ms
(/.f64 (*.f64 t x) y)
3.0ms
(/.f64 (*.f64 z x) y)

simplify102.0ms (3.7%)

Algorithm
egg-herbie
Rules
931×times-frac_binary64
656×fma-def_binary64
174×neg-mul-1_binary64
171×cancel-sign-sub-inv_binary64
168×distribute-rgt-neg-in_binary64
Counts
117 → 144
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02083175
15291942
218661642
343941642
449421642
548901642

prune75.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1413144
Fresh011
Picked101
Done011
Total1425147
Error
0b
Counts
147 → 5
Alt Table
StatusErrorProgram
8.6b
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)
26.4b
(*.f64 x (/.f64 (-.f64 z t) y))
8.9b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
26.4b
(/.f64 x (/.f64 y (-.f64 z t)))
Compiler

Compiled 3614 to 684 computations (81.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
3.7b
(/.f64 z (/.f64 y x))
5.7b
(/.f64 (*.f64 t x) y)

series38.0ms (1.4%)

Counts
2 → 84
Calls

2 calls:

23.0ms
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
14.0ms
(/.f64 z (/.f64 y x))

rewrite31.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
83×*-un-lft-identity_binary64
64×add-sqr-sqrt_binary64
62×add-cube-cbrt_binary64
28×prod-diff_binary64
Counts
2 → 131
Calls

2 calls:

15.0ms
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
4.0ms
(/.f64 z (/.f64 y x))

simplify143.0ms (5.2%)

Algorithm
egg-herbie
Rules
657×fma-def_binary64
369×times-frac_binary64
317×fma-neg_binary64
297×distribute-rgt-in_binary64
178×exp-prod_binary64
Counts
215 → 193
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02913876
16743386
221653116
341413111
448203111
547293111

prune116.0ms (4.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2290229
Fresh033
Picked011
Done011
Total2295234
Error
0b
Counts
234 → 5
Alt Table
StatusErrorProgram
8.6b
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)
26.4b
(*.f64 x (/.f64 (-.f64 z t) y))
8.9b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
26.4b
(/.f64 x (/.f64 y (-.f64 z t)))
Compiler

Compiled 5490 to 1136 computations (79.3% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
3.4b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
5.5b
(/.f64 t (/.f64 y x))
5.6b
(/.f64 (*.f64 z x) y)

series33.0ms (1.2%)

Counts
2 → 84
Calls

2 calls:

21.0ms
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
12.0ms
(/.f64 t (/.f64 y x))

rewrite83.0ms (3%)

Algorithm
rewrite-expression-head
Rules
408×times-frac_binary64
359×*-un-lft-identity_binary64
273×add-sqr-sqrt_binary64
264×add-cube-cbrt_binary64
176×prod-diff_binary64
Counts
2 → 318
Calls

2 calls:

22.0ms
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
4.0ms
(/.f64 t (/.f64 y x))

simplify368.0ms (13.4%)

Algorithm
egg-herbie
Rules
739×fma-def_binary64
434×associate-*r/_binary64
369×associate-*l/_binary64
268×associate-/r/_binary64
223×associate-/l*_binary64
Counts
402 → 368
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057922782
1163811386
2425711119
3502611119

prune209.0ms (7.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3950395
Fresh022
Picked011
Done022
Total3955400
Error
0b
Counts
400 → 5
Alt Table
StatusErrorProgram
8.6b
(-.f64 (+.f64 t (/.f64 z (/.f64 y x))) (/.f64 (*.f64 t x) y))
1.2b
(fma.f64 (/.f64 x y) (-.f64 z t) t)
26.4b
(*.f64 x (/.f64 (-.f64 z t) y))
8.9b
(-.f64 (+.f64 t (/.f64 (*.f64 z x) y)) (/.f64 t (/.f64 y x)))
26.4b
(/.f64 x (/.f64 y (-.f64 z t)))
Compiler

Compiled 15021 to 2646 computations (82.4% saved)

regimes129.0ms (4.7%)

Accuracy

Total 1.6b remaining (99.5%)

Threshold costs 0b (0%)

Counts
18 → 1
Compiler

Compiled 1484 to 934 computations (37.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
21511
31711
41811
51811

end62.0ms (2.3%)

Compiler

Compiled 92 to 55 computations (40.2% saved)

Profiling

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