Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	25×	body	1280	valid
7.0ms	168×	body	80	valid
6.0ms	34×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	14×	body	160	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series76.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* x (/ (sin y) y))
24.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune123.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
113.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune180.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
2.8b	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
13.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

series318.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (sin y))
91.0ms	(cbrt (sin y))
92.0ms	(cbrt (sin y))
37.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	393	856
1	2231	639
2	5001	575

prune194.0ms

Filtered

100 candidates to 73 candidates (73.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
5.1b	(* (* x (sin y)) (/ 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

4.0ms	(* x (sin y))
8.0ms	(* (* x (sin y)) (/ 1 y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (sin y))
63.0ms	(* (* x (sin y)) (/ 1 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	290	323
1	1574	261
2	5001	247

prune77.0ms

Filtered

66 candidates to 39 candidates (59.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

regimes105.0ms

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	6	3
1	6	3

end0.0ms

sample869.0ms

Algorithm

intervals

Results

246.0ms	919×	body	1280	valid
206.0ms	5192×	body	80	valid
175.0ms	1021×	body	640	valid
66.0ms	547×	body	320	valid
27.0ms	321×	body	160	valid