Details

Time bar (total: 5.9s)

sample107.0ms

Algorithm
intervals
Results
44.0ms253×body10240exit
35.0ms120×body1280valid
12.0ms68×body640valid
4.0ms36×body320valid
1.0ms13×body160valid
1.0ms19×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (46.0ms)

IterNodesCost
0159
1249
2329
3449
4639
51799
611849
750017

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1 1 (exp (+ x x)))
1.2b
(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv expm1-udef
Counts
2 → 40
Calls
2 calls:
0.0ms
(fma 1 1 (exp (+ x x)))
3.0ms
(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

series91.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(fma 1 1 (exp (+ x x)))
70.0ms
(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

simplify76.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0150395
1512351
22464344
35002343

prune119.0ms

Filtered
46 candidates to 39 candidates (84.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* 1/3 (pow x 3)))
0.0b
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b
(* 1/3 (pow x 3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×add-exp-log
5×add-cbrt-cube add-log-exp
4×unpow-prod-down cube-prod unswap-sqr
3×pow1 expm1-log1p-u fma-neg associate-*l* prod-diff prod-exp log1p-expm1-u
2×sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod fma-udef
Counts
3 → 63
Calls
3 calls:
2.0ms
(- x (* 1/3 (pow x 3)))
0.0ms
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
7.0ms
(* 1/3 (pow x 3))

series174.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- x (* 1/3 (pow x 3)))
57.0ms
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
36.0ms
(* 1/3 (pow x 3))

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206338
1835292
25001292

prune171.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* 1/3 (pow x 3)))
0.0b
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b
(expm1 (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
0.1b
(* 1/3 (pow x 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log
6×add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u unswap-sqr
3×fma-neg associate-*l* prod-diff prod-exp
2×sqr-pow
1×cube-mult pow-to-exp sub-neg expm1-log1p flip3-- diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod fma-udef expm1-udef
Counts
4 → 74
Calls
4 calls:
2.0ms
(- x (* 1/3 (pow x 3)))
0.0ms
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.0ms
(expm1 (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
7.0ms
(* 1/3 (pow x 3))

series330.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- x (* 1/3 (pow x 3)))
52.0ms
(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
158.0ms
(expm1 (log1p (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
40.0ms
(* 1/3 (pow x 3))

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0305475
11203415
25001395

prune236.0ms

Filtered
86 candidates to 58 candidates (67.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
0.5b
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
0.5b
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
0.5b
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
0.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
0.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
1.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))

series760.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))) (cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))
141.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
332.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))
140.0ms
(cbrt (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3)))))

simplify159.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (146.0ms)

IterNodesCost
03031267
110401174
246661078
350011030

prune312.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.1b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1136
2136

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.3s7601×body10240exit
987.0ms3314×body1280valid
441.0ms2416×body640valid
138.0ms1254×body320valid
43.0ms603×body160valid
14.0ms413×body80valid