Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.7b

localize12.0ms

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)
3.4b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.8b
(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)

series241.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
25.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
62.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
131.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify101.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0245408
1760361
23482358
35001356

prune249.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

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)
3.4b
(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
15.8b
(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)

series259.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma z 6.012459259764103 (fma z z 3.350343815022304))
25.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
69.0ms
(/ y (fma z 6.012459259764103 (fma z z 3.350343815022304)))
137.0ms
(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

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (/ 0.07512208616047561 z) y (fma y 0.0692910599291889 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03662
17852
228552
3184952
4500252

prune39.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.9b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.3b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×fma-def times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
18.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
11.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
23.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series427.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
54.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
118.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify73.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0559834
12525723
25002684

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes164.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.2b

bsearch127.0ms

Steps
ItersRangePoint
6
16112908.465778163
243454343.341909
206714745.8496814
10
-2.0648964296169642e+43
-6.322962747029278e+27
-6.447663326866044e+27

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample496.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid