Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify200.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune8.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

7.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) z)

series81.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- y x) 6.0)
48.0ms	(* (* (- y x) 6.0) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	194	209
1	868	176
2	5001	176

prune111.0ms

Filtered

52 candidates to 34 candidates (65.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (- y x) (* 6.0 z) x)

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 (- y x) (* 6.0 z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (- y x) (* 6.0 z) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune44.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	13	8	21

Merged error: 0.0b

Counts

21 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
4.4b	(cbrt (* (* (- y x) 6.0) z))
4.4b	(cbrt (* (* (- y x) 6.0) z))
4.4b	(cbrt (* (* (- y x) 6.0) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))

series942.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
214.0ms	(cbrt (* (* (- y x) 6.0) z))
214.0ms	(cbrt (* (* (- y x) 6.0) z))
208.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	394	883
1	1365	817
2	5002	765

prune324.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite12.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series858.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt z) (cbrt z))
202.0ms	(cbrt z)
205.0ms	(cbrt z)
213.0ms	(cbrt z)

simplify112.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	256

prune234.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

regimes161.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample485.0ms

Algorithm

intervals

Results

283.0ms

10161×

body

valid