Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify86.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
5.0b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.1b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
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)

series216.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
62.0ms
(/ 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)

simplify98.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0232361
1733322
23221319
35002317

prune218.0ms

Pruning

5 alts after pruning (5 fresh and 0 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) z 3.350343815022304) y))
4.8b
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
15.1b
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite23.0ms

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)
13.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
5.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
0.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series188.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
38.0ms
(/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y))
37.0ms
(/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)
84.0ms
(fma (/ 1 (/ (fma (+ z 6.012459259764103) z 3.350343815022304) y)) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04751087
11998960
25002880

prune535.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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) z 3.350343815022304) (/ 1 y)))
4.9b
(* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))
15.1b
(fma (/ 1 (* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
21×add-sqr-sqrt
18×div-exp add-cbrt-cube
16×prod-exp
15×*-un-lft-identity
14×add-cube-cbrt times-frac
13×associate-*r*
9×pow1 rec-exp 1-exp
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv fma-udef div-inv
1×frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
4 → 100
Calls
4 calls:
0.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
18.0ms
(/ 1 (* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y)))
17.0ms
(* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))
0.0ms
(fma (/ 1 (* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

series180.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525)
40.0ms
(/ 1 (* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y)))
36.0ms
(* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))
80.0ms
(fma (/ 1 (* (fma (+ z 6.012459259764103) z 3.350343815022304) (/ 1 y))) (fma (fma z 0.0692910599291889 0.4917317610505968) z 0.279195317918525) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0450717
11923577
25001548

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.2b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r/ associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 96
Calls
4 calls:
19.0ms
(* (+ z 6.012459259764103) z)
25.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
47.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
42.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series259.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ z 6.012459259764103) z)
61.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
47.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
112.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify75.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0549703
12591599
25001580

prune310.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

97.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 16.7b

bsearch131.0ms

Steps
ItersRangePoint
7
6.479939410614873e-14
1.2721555105312937e-12
1.257025260484713e-12
10
-269079160.0667242
-8.340668492905662e-07
-92387344.1766572

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04314
14314

end0.0ms

sample512.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid