Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

257×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	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 (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune30.0ms

Filtered

13 candidates to 11 candidates (84.6%)

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: 0.0b

Counts

14 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

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:

6.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
138.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
127.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
131.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	375	1093
1	1376	1017
2	5002	880

prune250.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.7b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

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 (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
133.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
133.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	188	736
1	605	688
2	2286	600
3	5001	576

prune266.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
0.8b	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.8b	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
0.8b	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `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 → 69

Calls

4 calls:

10.0ms	(* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
4.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
4.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
4.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))) (cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))))
158.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
153.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))
149.0ms	(cbrt (* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	366	1523
1	1308	1348
2	5001	1172

prune248.0ms

Filtered

81 candidates to 65 candidates (80.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample296.0ms

Algorithm

intervals

Results

207.0ms	8005×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid