Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify28.0ms

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

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)

simplify68.0ms

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

prune27.0ms

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	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.1b

Counts

14 → 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))

rewrite10.0ms

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))

series697.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))
181.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
170.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
165.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

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

prune250.0ms

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

localize15.0ms

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

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

series691.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
172.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
174.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
172.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	184	776
1	552	728
2	2089	648
3	5002	648

prune259.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-prod`
44×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`pow1/3`
13×	`swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`add-exp-log`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

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))
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))))
6.0ms	(* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))

series726.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))
182.0ms	(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 (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0))))
190.0ms	(* (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))) (cbrt (* (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)) (cbrt (fma (- x) (fma 0.12 x 0.253) 1.0)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	563	2102
1	2004	1924
2	5001	1662

prune386.0ms

Filtered

130 candidates to 93 candidates (71.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

regimes32.0ms

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

sample323.0ms

Algorithm

intervals

Results

207.0ms

10576×

body

valid