Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

311×

body

valid

simplify291.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (9.0ms)

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	3604	3
13	4672	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: 0.0b

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)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

13.0ms	(+ x (* (* (- y x) 6.0) z))
7.0ms	(* (- y x) 6.0)
11.0ms	(* (* (- y x) 6.0) z)

series154.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (* (* (- y x) 6.0) z))
37.0ms	(* (- y x) 6.0)
58.0ms	(* (* (- y x) 6.0) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	282	394
1	1168	343
2	5002	341

prune140.0ms

Filtered

90 candidates to 62 candidates (68.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

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)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify93.0ms

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	1683	53
4	5001	53

prune33.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* 6.0 (* (- y x) z)))
0.3b	(* 6.0 (* (- y x) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(* (- y x) z)
15.0ms	(+ x (* 6.0 (* (- y x) z)))
11.0ms	(* 6.0 (* (- y x) z))

series163.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- y x) z)
60.0ms	(+ x (* 6.0 (* (- y x) z)))
55.0ms	(* 6.0 (* (- y x) z))

simplify83.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	290	387
1	1273	336
2	5001	334

prune128.0ms

Filtered

88 candidates to 62 candidates (70.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

122×	`cbrt-prod`
81×	`add-sqr-sqrt`
60×	`associate-l`
59×	`*-un-lft-identity`
38×	`associate-r`
29×	`add-cube-cbrt`
23×	`swap-sqr`
22×	`unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1` `distribute-lft-out--`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-commutative` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 175

Calls

4 calls:

23.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
9.0ms	(cbrt (* (- y x) 6.0))
7.0ms	(cbrt (* (- y x) 6.0))
7.0ms	(cbrt (* (- y x) 6.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
278.0ms	(cbrt (* (- y x) 6.0))
268.0ms	(cbrt (* (- y x) 6.0))
302.0ms	(cbrt (* (- y x) 6.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	393	1617
1	1451	1537
2	5001	1428

prune426.0ms

Filtered

187 candidates to 133 candidates (71.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	187	5	192

Merged error: 0b

Counts

192 → 5

regimes106.0ms

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

sample454.0ms

Algorithm

intervals

Results

250.0ms

10120×

body

valid