Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

289×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	62	11
1	132	11
2	377	10
3	1105	10
4	3599	10
5	5001	10

prune19.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma z 3.13060547623 11.1667541262) z t)
0.0b	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
1.2b	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
27.7b	(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)

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 (fma z 3.13060547623 11.1667541262) z t)
0.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
2.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms	(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)

series937.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (fma z 3.13060547623 11.1667541262) z t)
91.0ms	(fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b)
113.0ms	(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
704.0ms	(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)

simplify107.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	269	578
1	828	514
2	3590	508
3	5001	504

prune396.0ms

Filtered

71 candidates to 60 candidates (84.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b	(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
7.9b	(/ t (pow z 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down`
8×	`associate-/r*`
7×	`add-exp-log`
4×	`add-cbrt-cube` `unpow2` `sqr-pow`
3×	`div-exp` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 61

Calls

2 calls:

0.0ms	(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
4.0ms	(/ t (pow z 2))

series71.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma y (+ 3.13060547623 (/ t (pow z 2))) x)
22.0ms	(/ t (pow z 2))

simplify118.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	191	332
1	664	290
2	3660	281
3	5001	281

prune197.0ms

Filtered

67 candidates to 44 candidates (65.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.7b	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)

rewrite3.0ms

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:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)

series602.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt t)
182.0ms	(cbrt t)
174.0ms	(cbrt t)
69.0ms	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	99	314
1	279	279
2	1245	267
3	5002	248

prune268.0ms

Filtered

61 candidates to 53 candidates (86.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)
13.7b	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
13.7b	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
13.7b	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))

rewrite3.0ms

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:

0.0ms	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)
0.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
0.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
1.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))

series667.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x)
199.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
202.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))
202.0ms	(cbrt (fma y (+ 3.13060547623 (* (/ (* (cbrt t) (cbrt t)) (fabs z)) (/ (/ (cbrt t) 1) (fabs z)))) x))

simplify103.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	234	1277
1	766	1164
2	3554	1152
3	5002	1130

prune306.0ms

Filtered

61 candidates to 56 candidates (91.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.2b

regimes856.0ms

Accuracy

96.9% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.7b

bsearch171.0ms

Steps

Iters	Range		Point
5	1.0811699912415038e+55	4.293988848357598e+55	2.3450302741966227e+55
7	-6.052340485406213e+46	-4.288389801987159e+44	-1.7951056084945683e+46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	26
1	50	26
2	50	26

end0.0ms

sample957.0ms

Algorithm

intervals

Results

634.0ms

8878×

body

valid