Details

sample54.0ms

Algorithm

intervals

Results

20.0ms	50×	body	1280	valid
13.0ms	37×	body	640	valid
7.0ms	143×	body	80	valid
3.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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 (cos y) (* z (sin y)))
4.0ms	(* z (sin y))

series111.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(fma x (cos y) (* z (sin y)))
37.0ms	(* z (sin y))

simplify55.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130

prune107.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

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`
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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series769.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
184.0ms	(cbrt z)
192.0ms	(cbrt z)

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

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

prune309.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series741.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
182.0ms	(cbrt z)
185.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify131.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune276.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.5b	(cbrt (fma x (cos y) (* z (sin y))))
0.5b	(cbrt (fma x (cos y) (* z (sin y))))
0.5b	(cbrt (fma x (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`
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 (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series856.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
209.0ms	(cbrt (fma x (cos y) (* z (sin y))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))
210.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify123.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	274	1020
1	870	937
2	4031	843
3	5001	824

prune288.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b 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

sample1.5s

Algorithm

intervals

Results

624.0ms	1490×	body	1280	valid
334.0ms	1294×	body	640	valid
232.0ms	4308×	body	80	valid
100.0ms	592×	body	320	valid
42.0ms	316×	body	160	valid