Details

Time bar (total: 5.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize16.0ms

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)
7.0b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
17.0b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite7.0ms

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)
5.0ms
(/ 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)

series248.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
26.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
63.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
139.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify100.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0245408
1760361
23482358
35001356

prune263.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

14.3b
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
14.3b
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
14.3b
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
17.0b
(fma (* (* (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 div-inv
1×fma-udef
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
2.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
2.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
0.0ms
(fma (* (* (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series707.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
183.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
180.0ms
(cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))
157.0ms
(fma (* (* (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (cbrt (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02811164
17351096
226951012
35003964

prune463.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.9b
(* (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z) (fma z 0.0692910599291889 0.4917317610505968))
7.0b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
7.0b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
7.0b
(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
14×associate-*l*
11×pow1
7×prod-exp cbrt-unprod
6×associate-*r* associate-/r* associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l/ div-inv
2×frac-2neg clear-num *-commutative fma-udef unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 117
Calls
4 calls:
33.0ms
(* (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z) (fma z 0.0692910599291889 0.4917317610505968))
5.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
5.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.0ms
(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z)

series310.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z) (fma z 0.0692910599291889 0.4917317610505968))
67.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
67.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
70.0ms
(* (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0427907
12017791
25002783

prune443.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.7b
(/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))
4.5b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304)))
17.0b
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt times-frac
33×add-cube-cbrt *-un-lft-identity
25×cbrt-prod
22×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×div-inv
1×frac-2neg pow1/3 associate-*r/ associate-*l* clear-num *-commutative fma-udef
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt y)
6.0ms
(/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))
36.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304)))
0.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series542.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
113.0ms
(/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))
82.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304)))
164.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (fma (+ z 6.012459259764103) z 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05251133
12545969
25002931

prune512.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes213.0ms

Accuracy

99.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 8.6b

bsearch81.0ms

Steps
ItersRangePoint
4
1860724342265.0034
2908035933644.0933
1882374506400.411
7
-210229570708.90164
-1873866393.190807
-1902322427.9406998

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04013
14013

end0.0ms

sample553.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid