Details

Time bar (total: 3.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0387
1727
21676
33546
46466
59216
610606
713316
817926
918606
1018616
1118616

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.5b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
16.4b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
0.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series230.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
24.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
58.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
129.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify99.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0245408
1760361
23482358
35001356

prune276.0ms

Filtered
71 candidates to 59 candidates (83.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z 6.012459259764103 (fma z z 3.350343815022304))
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.5b
(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
16.4b
(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma z 6.012459259764103 (fma z z 3.350343815022304))
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms
(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
0.0ms
(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series254.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(fma z 6.012459259764103 (fma z z 3.350343815022304))
25.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
67.0ms
(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
139.0ms
(fma (/ y (fma z 6.012459259764103 (fma z z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify104.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0243404
1794360
23558357
35002355

prune235.0ms

Filtered
71 candidates to 56 candidates (78.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.3b
(/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))
4.4b
(* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304))))
16.4b
(fma (* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
2.0ms
(/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))
8.0ms
(* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304))))
1.0ms
(fma (* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series312.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
42.0ms
(/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))
64.0ms
(* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304))))
180.0ms
(fma (* y (/ 1 (fma z 6.012459259764103 (fma z z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0364632
11477543
25001514

prune296.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.7b
(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
4.3b
(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
16.4b
(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef
1×pow-flip associate-/r/ inv-pow
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms
(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
2.0ms
(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
0.0ms
(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series205.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
44.0ms
(/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y))
46.0ms
(/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)
88.0ms
(fma (/ 1 (/ (fma z 6.012459259764103 (fma z z 3.350343815022304)) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04751087
12001960
25002880

prune341.0ms

Filtered
139 candidates to 84 candidates (60.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.3b

bsearch133.0ms

Steps
ItersRangePoint
8
0.3394070361140097
4086.0217424804537
4031.4717438424955
9
-639285333.1478717
-2170.0378802015894
-80423929.99302357

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04314
14314

end0.0ms

sample489.0ms

Algorithm
intervals
Results
328.0ms8000×body80valid