Details

sample42.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
9.0ms	38×	body	640	valid
9.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

19.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series95.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
46.0ms	(* z (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	156	201
1	579	185
2	2660	185
3	5001	185

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite13.0ms

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×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
142.0ms	(cbrt (* z (sin y)))
135.0ms	(cbrt (* z (sin y)))
140.0ms	(cbrt (* z (sin y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	190	460
1	631	409
2	3021	358
3	5002	336

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt z)
112.0ms	(cbrt (sin y))
135.0ms	(cbrt (* z (sin y)))
142.0ms	(cbrt (* z (sin y)))

simplify161.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune210.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
6.6b	(sqrt (* z (sin y)))
6.6b	(sqrt (* z (sin y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

4.0ms	(* z (sin y))
18.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
2.0ms	(sqrt (* z (sin y)))
2.0ms	(sqrt (* z (sin y)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* z (sin y))
43.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
62.0ms	(sqrt (* z (sin y)))
57.0ms	(sqrt (* z (sin y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	252	418
1	1229	364
2	5001	356

prune219.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

413.0ms	989×	body	1280	valid
298.0ms	5550×	body	80	valid
218.0ms	863×	body	640	valid
73.0ms	397×	body	320	valid
24.0ms	201×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5