Details

Time bar (total: 4.9s)

analyze666.0ms (13.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
49.9%49.9%0.2%6
49.9%49.9%0.2%7
49.9%49.9%0.2%8
49.9%49.9%0.2%9
49.9%49.9%0.2%10
74.8%24.9%0.2%11
74.8%24.9%0.2%12
74.8%24.9%0.2%13
74.8%24.9%0.2%14
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (33.3%)

Results
1.5s8256×body128valid
Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify78.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
783×fma-neg_binary64
721×fma-def_binary64
244×cancel-sign-sub-inv_binary64
187×distribute-rgt-in_binary64
138×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01013
11713
23913
39813
425811
554211
6101911
7130211
8141411
9147011
10147611
11148111
12148111
13140811

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶2.9b
(fma.f64 y (/.f64 (-.f64 t z) a) x)
5.7b
(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 76 to 46 computations (39.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 t z) a)
✓2.9b
(fma.f64 y (/.f64 (-.f64 t z) a) x)

series58.0ms (1.2%)

Counts
2 → 88
Calls

2 calls:

43.0ms
(fma.f64 y (/.f64 (-.f64 t z) a) x)
14.0ms
(/.f64 (-.f64 t z) a)

rewrite8.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
20×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
15×times-frac_binary64
12×add-cube-cbrt_binary64
5×associate-/l*_binary64
Counts
2 → 50
Calls

2 calls:

5.0ms
(/.f64 (-.f64 t z) a)
0.0ms
(fma.f64 y (/.f64 (-.f64 t z) a) x)

simplify125.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
696×distribute-rgt-in_binary64
684×distribute-lft-in_binary64
583×times-frac_binary64
453×fma-def_binary64
215×div-sub_binary64
Counts
138 → 78
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111607
12381462
25251460
313331460
448861460
549831460

prune102.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh101
Picked101
Done000
Total76480
Error
0.0b
Counts
80 → 4
Alt Table
StatusErrorProgram
2.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)
33.7b
(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 t z) (sqrt.f64 a))) x)
▶2.0b
(fma.f64 (/.f64 y a) (-.f64 t z) x)
8.2b
(-.f64 (+.f64 (/.f64 (*.f64 y t) a) x) (/.f64 (*.f64 y z) a))
Compiler

Compiled 1174 to 339 computations (71.1% saved)

localize20.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.0b
(fma.f64 (/.f64 y a) (-.f64 t z) x)

series51.0ms (1%)

Counts
1 → 60
Calls

1 calls:

50.0ms
(fma.f64 (/.f64 y a) (-.f64 t z) x)

rewrite2.0ms (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:

1.0ms
(fma.f64 (/.f64 y a) (-.f64 t z) x)

simplify90.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
426×distribute-lft-neg-out_binary64
425×distribute-rgt-neg-out_binary64
378×distribute-rgt-in_binary64
375×distribute-lft-in_binary64
225×distribute-rgt-out_binary64
Counts
70 → 27
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040863
176750
2164733
3450733
42142733
54579733
65069733

prune16.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New26127
Fresh033
Picked101
Done000
Total27431
Error
0b
Counts
31 → 4
Alt Table
StatusErrorProgram
33.7b
(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 t z) (sqrt.f64 a))) x)
▶2.0b
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
2.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)
8.2b
(-.f64 (+.f64 (/.f64 (*.f64 y t) a) x) (/.f64 (*.f64 y z) a))
Compiler

Compiled 421 to 144 computations (65.8% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 (/.f64 y a) (-.f64 t z))

series23.0ms (0.5%)

Counts
1 → 48
Calls

1 calls:

23.0ms
(*.f64 (/.f64 y a) (-.f64 t z))

rewrite17.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
30×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
23×add-cube-cbrt_binary64
18×prod-diff_binary64
13×associate-*l*_binary64
Counts
1 → 66
Calls

1 calls:

12.0ms
(*.f64 (/.f64 y a) (-.f64 t z))

simplify131.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
550×div-sub_binary64
413×fma-def_binary64
328×associate-*l/_binary64
310×fma-neg_binary64
295×*-commutative_binary64
Counts
114 → 98
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01711596
13701494
211751440
335881332
444391332
552401332

prune110.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh123
Picked011
Done000
Total984102
Error
0b
Counts
102 → 4
Alt Table
StatusErrorProgram
33.7b
(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 t z) (sqrt.f64 a))) x)
✓2.0b
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
▶2.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)
5.7b
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
Compiler

Compiled 2012 to 563 computations (72% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 a (-.f64 t z))
✓0.3b
(/.f64 1 (/.f64 a (-.f64 t z)))
✓2.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)

series112.0ms (2.3%)

Counts
3 → 120
Calls

3 calls:

56.0ms
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)
34.0ms
(/.f64 a (-.f64 t z))
21.0ms
(/.f64 1 (/.f64 a (-.f64 t z)))

rewrite58.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
138×times-frac_binary64
103×*-un-lft-identity_binary64
103×add-sqr-sqrt_binary64
71×add-cube-cbrt_binary64
26×associate-/r*_binary64
Counts
3 → 159
Calls

3 calls:

14.0ms
(/.f64 1 (/.f64 a (-.f64 t z)))
10.0ms
(/.f64 a (-.f64 t z))
1.0ms
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)

simplify273.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
382×fma-neg_binary64
340×times-frac_binary64
325×associate-/l*_binary64
268×fma-def_binary64
223×associate-/r*_binary64
Counts
279 → 229
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02044381
14213949
212103759
339833759
449923759
549623759

prune199.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2290229
Fresh022
Picked011
Done011
Total2294233
Error
0b
Counts
233 → 4
Alt Table
StatusErrorProgram
33.7b
(fma.f64 y (*.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (-.f64 t z) (sqrt.f64 a))) x)
✓2.0b
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
✓2.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 t z))) x)
5.7b
(+.f64 (/.f64 (*.f64 y (-.f64 t z)) a) x)
Compiler

Compiled 4246 to 1465 computations (65.5% saved)

regimes814.0ms (16.7%)

Accuracy

Total 0.8b remaining (97.2%)

Threshold costs 0.8b (97.2%)

Counts
42 → 3
Compiler

Compiled 5710 to 3723 computations (34.8% saved)

bsearch2.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02152
13352
24652
36052
47252
58652
69652
710152
810652
910952
1011052
1110652

end255.0ms (5.2%)

Compiler

Compiled 142 to 80 computations (43.7% saved)

Profiling

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