Details

sample51.0ms

Algorithm

intervals

Results

18.0ms	46×	body	1280	valid
11.0ms	45×	body	640	valid
7.0ms	136×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	13×	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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(+ (* x (cos y)) (* z (sin y)))
3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
40.0ms	(* z (sin y))

simplify73.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (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`
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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
99.0ms	(cbrt (sin y))

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

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

prune291.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.5b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

rewrite14.0ms

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:

2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
7.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (* x (cos y)))
121.0ms	(cbrt (* x (cos y)))
126.0ms	(cbrt (* x (cos y)))
147.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))

simplify123.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	179	463
1	708	412
2	3669	382
3	5001	357

prune253.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (cos y))) (cbrt x))
0.5b	(cbrt (* x (cos y)))
0.5b	(cbrt (* x (cos y)))
0.6b	(cbrt x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

6.0ms	(* (cbrt (* x (cos y))) (cbrt x))
2.0ms	(cbrt (* x (cos y)))
2.0ms	(cbrt (* x (cos y)))
1.0ms	(cbrt x)

series575.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* x (cos y))) (cbrt x))
125.0ms	(cbrt (* x (cos y)))
130.0ms	(cbrt (* x (cos y)))
179.0ms	(cbrt x)

simplify72.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	195	390
1	664	362
2	2767	353
3	5002	338

prune272.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

611.0ms	1499×	body	1280	valid
335.0ms	1340×	body	640	valid
237.0ms	4223×	body	80	valid
104.0ms	617×	body	320	valid
38.0ms	321×	body	160	valid