Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
9.0ms	174×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	7×	body	160	valid

simplify24.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 calls:

6.0ms	(+ x (cos y))
43.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (cos y))
50.0ms	(- (+ x (cos y)) (* z (sin y)))
43.0ms	(* z (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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)

rewrite15.0ms

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:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series959.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt z) (cbrt z))
180.0ms	(cbrt z)
398.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune255.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series803.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
256.0ms	(cbrt z)
189.0ms	(cbrt z)
178.0ms	(cbrt z)

simplify125.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune225.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))
0.5b	(cbrt (- (+ x (cos y)) (* z (sin y))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

151.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
18.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
21.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
18.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

series765.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (- (+ x (cos y)) (* z (sin y)))) (cbrt (- (+ x (cos y)) (* z (sin y)))))
187.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
189.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))
191.0ms	(cbrt (- (+ x (cos y)) (* z (sin y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	307	1506
1	1138	1413
2	5001	1329

prune299.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes152.0ms

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

sample1.3s

Algorithm

intervals

Results

396.0ms	968×	body	1280	valid
297.0ms	5571×	body	80	valid
216.0ms	833×	body	640	valid
75.0ms	420×	body	320	valid
24.0ms	208×	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