Details

sample47.0ms

Algorithm

intervals

Results

17.0ms	44×	body	1280	valid
8.0ms	169×	body	80	valid
8.0ms	29×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	7×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))

rewrite47.0ms

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:

37.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify69.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

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

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))

rewrite33.0ms

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:

20.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
113.0ms	(cbrt (* z (sin y)))
111.0ms	(cbrt (* z (sin y)))
111.0ms	(cbrt (* z (sin y)))

simplify87.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (82.0ms)

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

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite19.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

13.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
99.0ms	(cbrt (sin y))
93.0ms	(cbrt (sin y))
91.0ms	(cbrt (sin y))

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune228.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (* z (sin y)))
110.0ms	(cbrt (* z (sin y)))
113.0ms	(cbrt (* z (sin y)))
116.0ms	(cbrt (* z (sin y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	79	292
1	163	264
2	481	228
3	2062	216
4	5001	216

prune183.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes101.0ms

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

400.0ms	996×	body	1280	valid
277.0ms	5556×	body	80	valid
205.0ms	846×	body	640	valid
68.0ms	397×	body	320	valid
27.0ms	205×	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