Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify185.0ms

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

prune7.0ms

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 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

4.0ms	(+ x (* (* (- y x) 6.0) z))
7.0ms	(* (- y x) 6.0)
8.0ms	(* (* (- y x) 6.0) z)

series128.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
45.0ms	(* (* (- y x) 6.0) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune159.0ms

Filtered

71 candidates to 49 candidates (69.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(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)

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

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

prune43.0ms

Filtered

13 candidates to 9 candidates (69.2%)

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
2.1b	(cbrt (* (* (- y x) 6.0) z))
2.1b	(cbrt (* (* (- y x) 6.0) z))
2.1b	(cbrt (* (* (- y x) 6.0) z))

rewrite33.0ms

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))

series932.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
213.0ms	(cbrt (* (* (- y x) 6.0) z))
207.0ms	(cbrt (* (* (- y x) 6.0) z))
212.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

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

prune356.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt z)
2.1b	(cbrt (* (* (- y x) 6.0) z))
2.1b	(cbrt (* (* (- y x) 6.0) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`cbrt-prod` `cbrt-div`
5×	`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`
3×	`flip3--` `flip--`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (* (- y x) 6.0))
1.0ms	(cbrt z)
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))

series866.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (* (- y x) 6.0))
199.0ms	(cbrt z)
208.0ms	(cbrt (* (* (- y x) 6.0) z))
205.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	316	430
1	808	402
2	2990	388
3	5001	378

prune296.0ms

Filtered

64 candidates to 58 candidates (90.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	4	5
Picked	1	0	1
Done	0	3	3
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

regimes141.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample463.0ms

Algorithm

intervals

Results

251.0ms

9972×

body

valid