Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify87.0ms

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: 15.8b

localize17.0ms

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))
16.0b
(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)

series252.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
27.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
68.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
137.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify107.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0245408
1760361
23482358
35001356

prune264.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z 6.012459259764103 (pow z 2))
0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
4.5b
(/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
16.0b
(fma (/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out add-log-exp
3×fma-udef associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma z 6.012459259764103 (pow z 2))
4.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms
(/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
0.0ms
(fma (/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series299.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma z 6.012459259764103 (pow z 2))
27.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
71.0ms
(/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
142.0ms
(fma (/ y (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify118.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0280487
1937442
24202435
35001433

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
0.4b
(/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
4.4b
(* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)))
16.0b
(fma (* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0ms
(/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
16.0ms
(* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)))
0.0ms
(fma (* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series278.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
37.0ms
(/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))
69.0ms
(* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304)))
146.0ms
(fma (* y (/ 1 (+ (fma z 6.012459259764103 (pow z 2)) 3.350343815022304))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0407786
11700681
25001637

prune353.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)
0.1b
(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304)) y)
15.4b
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
11×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef div-inv unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma z (+ 6.012459259764103 z) 3.350343815022304)
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
7.0ms
(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304)) y)
2.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304))

series205.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(fma z (+ 6.012459259764103 z) 3.350343815022304)
28.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
80.0ms
(* (/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304)) y)
76.0ms
(/ (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) (fma z (+ 6.012459259764103 z) 3.350343815022304))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0311693
11114612
25001610

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch160.0ms

Steps
ItersRangePoint
9
89650.56729712563
167712351607.73917
762902005.4648144
10
-1.3796619314999023e+25
-146662999352.95746
-249330230910.17413

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03418
13418

end0.0ms

sample513.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid