Details

Time bar (total: 8.2s)

sample46.0ms

Algorithm
intervals
Results
24.0ms305×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune18.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
1.5b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.4b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite6.0ms

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:
1.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series912.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
28.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
118.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
730.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify112.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0270563
1830501
23551493
35002491

prune405.0ms

Filtered
71 candidates to 60 candidates (84.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New63871
Fresh011
Picked101
Done000
Total64973

Merged error: 0.5b

Counts
73 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
1.0b
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.4b
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
26.4b
(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite14.0ms

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:
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
7.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
1.0ms
(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series987.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
79.0ms
(/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
114.0ms
(* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))
759.0ms
(fma (* y (/ 1 (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0363864
11442747
25002715

prune407.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh088
Picked011
Done000
Total10210112

Merged error: 0.5b

Counts
112 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.3b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
15.3b
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
26.4b
(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×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×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
1.0ms
(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series1.2s

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
157.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
157.0ms
(cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
745.0ms
(fma (/ (/ y (* (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)))) (cbrt (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0181755
1472661
21648642
35002619

prune405.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh088
Picked011
Done011
Total601171

Merged error: 0.5b

Counts
71 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
0.1b
(fma (fma z 3.13060547623 11.1667541262) z t)
1.5b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
27.8b
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
11×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×associate-/r/
Counts
4 → 121
Calls
4 calls:
1.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
1.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
3.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
6.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

series470.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721)
29.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
95.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
303.0ms
(/ (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05261808
119411694
250011692

prune616.0ms

Filtered
133 candidates to 111 candidates (83.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1294133
Fresh538
Picked101
Done022
Total1359144

Merged error: 0.5b

Counts
144 → 9

regimes748.0ms

Accuracy

97.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 31.1b

bsearch225.0ms

Steps
ItersRangePoint
8
1.3841370578267956e+27
1.6498015620031138e+30
2.750378453842835e+29
7
-2.2270534646608673e+24
-1.222722162629111e+23
-2.0475315445584642e+24

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04115
14115

end0.0ms

sample1.2s

Algorithm
intervals
Results
929.0ms8866×body80valid

Profiling

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