Details

sample46.0ms

Algorithm

intervals

Results

15.0ms	190×	body	80	valid
12.0ms	27×	body	1280	valid
6.0ms	22×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify25.0ms

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))

rewrite26.0ms

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:

3.0ms	(+ x (cos y))
18.0ms	(- (+ x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))

series118.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (cos y))
45.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify78.0ms

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

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 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))

rewrite10.0ms

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:

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

series426.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
101.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
106.0ms	(cbrt (sin y))

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (90.0ms)

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

prune256.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
8.4b	(log (exp (cbrt (sin y))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`exp-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(log (exp (cbrt (sin y))))

series409.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
107.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
101.0ms	(log (exp (cbrt (sin y))))

simplify53.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	91	276
1	164	251
2	378	243
3	1093	243
4	5002	243

prune229.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (cos y)) (log (exp (* z (sin y)))))
0.0b	(+ x (cos y))
0.1b	(* z (sin y))
3.5b	(log (exp (* z (sin y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
8×	`add-cube-cbrt`
6×	`add-exp-log` `log-prod` `add-cbrt-cube`
5×	`log-pow`
4×	`distribute-lft-out--`
3×	`associate-r` `associate-l` `distribute-lft-out` `associate--r+`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

20.0ms	(- (+ x (cos y)) (log (exp (* z (sin y)))))
3.0ms	(+ x (cos y))
3.0ms	(* z (sin y))
1.0ms	(log (exp (* z (sin y))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (+ x (cos y)) (log (exp (* z (sin y)))))
25.0ms	(+ x (cos y))
37.0ms	(* z (sin y))
42.0ms	(log (exp (* z (sin y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	230	407
1	718	363
2	2740	362
3	5003	362

prune192.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes133.0ms

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

sample1.5s

Algorithm

intervals

Results

448.0ms	976×	body	1280	valid
448.0ms	5559×	body	80	valid
263.0ms	834×	body	640	valid
94.0ms	412×	body	320	valid
33.0ms	218×	body	160	valid
1.0ms	1×	body	2560	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