Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

350×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	4
1	45	4
2	82	3
3	127	3
4	168	3
5	224	3
6	359	3
7	666	3
8	763	3
9	763	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- x) (fma 0.12 x 0.253) 1.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (- x) (fma 0.12 x 0.253) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	66
1	102	53
2	433	53
3	2132	53
4	5001	53

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

rewrite11.0ms

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:

5.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

series688.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
174.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	355	1123
1	1234	1046
2	5001	918

prune254.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
37×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
8.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series825.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
167.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
307.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
180.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	1491
1	1387	1407
2	5002	1232

prune333.0ms

Filtered

107 candidates to 81 candidates (75.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
0.2b	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
0.2b	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod`
36×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
1.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
4.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
11.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
173.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
176.0ms	(cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
178.0ms	(* (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))) (cbrt (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	407	1535
1	1396	1440
2	5002	1268

prune387.0ms

Filtered

105 candidates to 81 candidates (77.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample293.0ms

Algorithm

intervals

Results

188.0ms

10556×

body

valid