Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	54×	body	1280	valid
14.0ms	40×	body	640	valid
8.0ms	125×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (sin y) (* z (cos y)))
4.0ms	(* z (cos y))

series113.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(fma x (sin y) (* z (cos y)))
37.0ms	(* z (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130

prune99.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	32	6	38

Merged error: 0.1b

Counts

38 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (cos y) z (* x (sin y)))
4.0ms	(* x (sin y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(fma (cos y) z (* x (sin y)))
37.0ms	(* x (sin y))

simplify37.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	101	155
1	347	136
2	1297	135
3	5002	134

prune96.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	32	10	42

Merged error: 0.0b

Counts

42 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

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:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series720.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt x) (cbrt x))
172.0ms	(cbrt x)
174.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune280.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	90	13	103

Merged error: 0.0b

Counts

103 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.9b	(cbrt (* x (sin y)))
5.9b	(cbrt (* x (sin y)))
5.9b	(cbrt (* x (sin y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
3.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))
3.0ms	(cbrt (* x (sin y)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
121.0ms	(cbrt (* x (sin y)))
122.0ms	(cbrt (* x (sin y)))
125.0ms	(cbrt (* x (sin y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3141	388
3	5002	366

prune220.0ms

Filtered

78 candidates to 61 candidates (78.2%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	77	14	91

Merged error: 0.0b

Counts

91 → 14

regimes168.0ms

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	8	4
1	8	4

end0.0ms

sample1.7s

Algorithm

intervals

Results

671.0ms	1557×	body	1280	valid
359.0ms	1205×	body	640	valid
252.0ms	4268×	body	80	valid
123.0ms	645×	body	320	valid
42.0ms	325×	body	160	valid