Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

465×

body

valid

simplify285.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	14	6
1	29	4
2	50	4
3	70	3
4	82	3
5	125	3
6	229	3
7	321	3
8	336	3
9	436	3
10	790	3
11	3492	3
12	5001	3

prune5.0ms

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 1 expressions with local error:

0.1b	(fma 3 (* y y) (* x 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 3 (* y y) (* x x))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma 3 (* y y) (* x x))

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	84	52
2	267	52
3	1089	52
4	5002	52

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ (* 3 (* y y)) (* x x))
5.0ms	(* 3 (* y y))

series54.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* 3 (* y y)) (* x x))
23.0ms	(* 3 (* y y))

simplify83.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	173	174
1	696	156
2	2692	148
3	5001	148

prune57.0ms

Filtered

41 candidates to 25 candidates (61.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	41	5	46

Merged error: 0.0b

Counts

46 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 34

Calls

2 calls:

5.0ms	(+ (* (* 3 y) y) (* x x))
5.0ms	(* (* 3 y) y)

series55.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (* 3 y) y) (* x x))
23.0ms	(* (* 3 y) y)

simplify128.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	182	172
1	899	155
2	4389	147
3	5001	145

prune54.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	40	5	45

Merged error: 0b

Counts

45 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 69

Calls

3 calls:

12.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
6.0ms	(* (cbrt 3) (* y y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
85.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
42.0ms	(* (cbrt 3) (* y y))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	274	595
1	1133	461
2	5001	387

prune100.0ms

Filtered

78 candidates to 45 candidates (57.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 0b

Counts

83 → 5

regimes81.0ms

Accuracy

0% (0.1b 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	10	4
1	10	4

end0.0ms

sample605.0ms

Algorithm

intervals

Results

390.0ms

14347×

body

valid