Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	32×	body	1280	valid
9.0ms	182×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune6.0ms

Filtered

1 candidates to 1 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 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

10.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (+ x (sin y)) (* z (cos y)))
40.0ms	(* z (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	233
1	615	203
2	2575	203
3	5002	203

prune88.0ms

Filtered

50 candidates to 35 candidates (30.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (fma (cos y) z (sin y)))
0.1b	(fma (cos y) z (sin y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 28

Calls

2 calls:

3.0ms	(+ x (fma (cos y) z (sin y)))
1.0ms	(fma (cos y) z (sin y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (fma (cos y) z (sin y)))
54.0ms	(fma (cos y) z (sin y))

simplify36.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	164
1	329	153
2	1380	153
3	5002	153

prune75.0ms

Filtered

34 candidates to 28 candidates (17.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series746.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt z) (cbrt z))
181.0ms	(cbrt z)
180.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune205.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0.0b

Counts

100 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (sin y))) (cbrt (fma (cos y) z (sin y))))
0.5b	(cbrt (fma (cos y) z (sin y)))
0.5b	(cbrt (fma (cos y) z (sin y)))
0.5b	(cbrt (fma (cos y) z (sin y)))

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt (fma (cos y) z (sin y))) (cbrt (fma (cos y) z (sin y))))
1.0ms	(cbrt (fma (cos y) z (sin y)))
1.0ms	(cbrt (fma (cos y) z (sin y)))
1.0ms	(cbrt (fma (cos y) z (sin y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt (fma (cos y) z (sin y))) (cbrt (fma (cos y) z (sin y))))
77.0ms	(cbrt (fma (cos y) z (sin y)))
78.0ms	(cbrt (fma (cos y) z (sin y)))
77.0ms	(cbrt (fma (cos y) z (sin y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	359	1153
1	1649	1057
2	5001	968

prune246.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

regimes94.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

394.0ms	956×	body	1280	valid
291.0ms	5585×	body	80	valid
206.0ms	849×	body	640	valid
67.0ms	395×	body	320	valid
31.0ms	215×	body	160	valid