Details

Time bar (total: 4.5s)

analyze1.0s (23.1%)

Algorithm
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
0%99.8%0.2%6
0%99.8%0.2%7
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14
Compiler

Compiled 20 to 14 computations (30% saved)

sample99.0ms (2.2%)

Algorithm
intervals
Results
15.0ms256×body128valid
4.0ms82×body128invalid
Compiler

Compiled 43 to 31 computations (27.9% saved)

simplify90.0ms (2%)

Algorithm
egg-herbie
Rules
871×distribute-rgt-in_binary64
685×div-sub_binary64
652×distribute-lft-in_binary64
409×distribute-neg-frac_binary64
395×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01222
12522
25822
310922
422320
543716
687614
7209814
8232014
9245114
10304214
11322614
12332714
13491314

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
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
Compiler

Compiled 95 to 62 computations (34.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
0.2b
(/.f64 y (*.f64 z 3))
0.2b
(*.f64 (*.f64 z 3) y)
5.2b
(/.f64 t (*.f64 (*.f64 z 3) y))

series65.0ms (1.4%)

Counts
4 → 132
Calls

4 calls:

30.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
20.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
7.0ms
(*.f64 (*.f64 z 3) y)
7.0ms
(/.f64 y (*.f64 z 3))

rewrite32.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
29×associate-+l+_binary64
27×add-sqr-sqrt_binary64
25×add-cube-cbrt_binary64
23×add-cbrt-cube_binary64
Counts
4 → 121
Calls

4 calls:

12.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
5.0ms
(*.f64 (*.f64 z 3) y)
4.0ms
(/.f64 t (*.f64 (*.f64 z 3) y))
3.0ms
(/.f64 y (*.f64 z 3))

simplify115.0ms (2.6%)

Algorithm
egg-herbie
Rules
588×fma-def_binary64
317×associate-/l/_binary64
254×distribute-rgt-in_binary64
243×fma-neg_binary64
235×distribute-lft-in_binary64
Counts
253 → 200
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02144171
16013297
220652964
344982964
448762964

prune221.0ms (4.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1919200
Fresh011
Picked101
Done000
Total19210202
Error
0.0b
Counts
202 → 10
Alt Table
StatusErrorProgram
3.1b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 1 (/.f64 (*.f64 (*.f64 z 3) y) t)))
3.1b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.4b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 1 (*.f64 z 3)) (/.f64 t y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 1/3 (/.f64 t (*.f64 y z))))
30.8b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
3.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
3.3b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 t (*.f64 z (*.f64 3 y))))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
Compiler

Compiled 5252 to 3058 computations (41.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
0.2b
(/.f64 y (*.f64 z 3))
0.2b
(/.f64 t (*.f64 z 3))
3.6b
(/.f64 (/.f64 t (*.f64 z 3)) y)

series63.0ms (1.4%)

Counts
3 → 108
Calls

3 calls:

32.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
20.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
10.0ms
(/.f64 t (*.f64 z 3))

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
48×times-frac_binary64
44×*-un-lft-identity_binary64
39×add-sqr-sqrt_binary64
37×add-cube-cbrt_binary64
29×associate-+l+_binary64
Counts
3 → 126
Calls

3 calls:

16.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 t (*.f64 z 3)) y))
5.0ms
(/.f64 (/.f64 t (*.f64 z 3)) y)
3.0ms
(/.f64 t (*.f64 z 3))

simplify91.0ms (2%)

Algorithm
egg-herbie
Rules
755×associate-/l*_binary64
531×associate-/l/_binary64
508×fma-def_binary64
216×distribute-rgt-in_binary64
210×associate-/r/_binary64
Counts
234 → 214
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503420
16523138
218963026
350743026

prune269.0ms (6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2463249
Fresh369
Picked101
Done000
Total2509259
Error
0b
Counts
259 → 9
Alt Table
StatusErrorProgram
3.1b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 1/3 (/.f64 t (*.f64 y z))))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 1 z) (/.f64 y (/.f64 t 3))))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (*.f64 t (/.f64 1/3 z)) y))
3.1b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
30.8b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
3.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
3.3b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
Compiler

Compiled 6339 to 3600 computations (43.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 t (/.f64 1/3 z))
0.2b
(/.f64 y (*.f64 z 3))
0.3b
(/.f64 1/3 z)
3.6b
(/.f64 (*.f64 t (/.f64 1/3 z)) y)

series30.0ms (0.7%)

Counts
3 → 60
Calls

3 calls:

22.0ms
(/.f64 (*.f64 t (/.f64 1/3 z)) y)
7.0ms
(*.f64 t (/.f64 1/3 z))
1.0ms
(/.f64 1/3 z)

rewrite16.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
Counts
3 → 89
Calls

3 calls:

5.0ms
(*.f64 t (/.f64 1/3 z))
5.0ms
(/.f64 (*.f64 t (/.f64 1/3 z)) y)
2.0ms
(/.f64 1/3 z)

simplify117.0ms (2.6%)

Algorithm
egg-herbie
Rules
521×associate-/l/_binary64
515×associate-*l*_binary64
376×associate-*r*_binary64
327×fma-neg_binary64
319×associate-/r/_binary64
Counts
149 → 126
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01331597
12841448
211251447
333561446
438831446
546181446
649411446

prune172.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1610161
Fresh088
Picked011
Done000
Total1619170
Error
0b
Counts
170 → 9
Alt Table
StatusErrorProgram
3.1b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 1/3 (/.f64 t (*.f64 y z))))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 1 z) (/.f64 y (/.f64 t 3))))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (*.f64 t (/.f64 1/3 z)) y))
3.1b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
30.8b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
3.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
3.3b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
Compiler

Compiled 3584 to 2184 computations (39.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
0.2b
(/.f64 y (*.f64 z 3))
0.2b
(/.f64 t (*.f64 z 3))
3.7b
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

series49.0ms (1.1%)

Counts
2 → 84
Calls

2 calls:

30.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
19.0ms
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

rewrite30.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
41×add-exp-log_binary64
36×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
29×associate-+l+_binary64
27×add-cube-cbrt_binary64
Counts
2 → 113
Calls

2 calls:

11.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
8.0ms
(*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y))

simplify112.0ms (2.5%)

Algorithm
egg-herbie
Rules
819×fma-def_binary64
393×distribute-rgt-in_binary64
313×fma-neg_binary64
210×exp-prod_binary64
184×associate-*l*_binary64
Counts
197 → 187
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473292
16773052
223532925
345082925
448622925

prune267.0ms (5.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2580258
Fresh077
Picked011
Done011
Total2589267
Error
0b
Counts
267 → 9
Alt Table
StatusErrorProgram
3.1b
(+.f64 (-.f64 x (*.f64 (/.f64 1 z) (/.f64 y 3))) (/.f64 t (*.f64 (*.f64 z 3) y)))
3.1b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 1/3 (/.f64 t (*.f64 y z))))
2.8b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (/.f64 1 z) (/.f64 y (/.f64 t 3))))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (/.f64 (*.f64 t (/.f64 1/3 z)) y))
3.1b
(+.f64 (-.f64 x (/.f64 1 (/.f64 (*.f64 z 3) y))) (/.f64 t (*.f64 (*.f64 z 3) y)))
1.5b
(+.f64 (-.f64 x (/.f64 y (*.f64 z 3))) (*.f64 (/.f64 t (*.f64 z 3)) (/.f64 1 y)))
30.8b
(/.f64 (-.f64 (*.f64 1/3 (/.f64 t y)) (*.f64 1/3 y)) z)
3.5b
(fma.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)) x)
3.3b
(+.f64 (-.f64 x (/.f64 (/.f64 y z) 3)) (/.f64 t (*.f64 (*.f64 z 3) y)))
Compiler

Compiled 7033 to 4212 computations (40.1% saved)

regimes368.0ms (8.2%)

Accuracy

Total 0.4b remaining (97.3%)

Threshold costs 0.4b (97.3%)

Counts
41 → 3
Compiler

Compiled 4875 to 3382 computations (30.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

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
03087
14187
24787
35187
45487
55587
65487

end1.0ms (0%)

Compiler

Compiled 63 to 43 computations (31.7% saved)

sample1.2s (26.1%)

Algorithm
intervals
Results
454.0ms8000×body128valid
189.0ms3132×body128invalid
Compiler

Compiled 257 to 180 computations (30% saved)

Profiling

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