Details

sample48.0ms

Algorithm

intervals

Results

15.0ms	191×	body	80	valid
13.0ms	29×	body	1280	valid
7.0ms	21×	body	640	valid
3.0ms	13×	body	320	valid
0.0ms	2×	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: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

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

series86.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))

simplify73.0ms

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

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series749.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt z) (cbrt z))
181.0ms	(cbrt z)
187.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify85.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

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

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt z) (sin y))
0.3b	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
27.2b	(cbrt (pow z 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unpow-prod-down`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

8.0ms	(* (cbrt z) (sin y))
13.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
0.0ms	(cbrt z)
1.0ms	(cbrt (pow z 2))

series510.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt z) (sin y))
53.0ms	(* (cbrt (pow z 2)) (* (cbrt z) (sin y)))
181.0ms	(cbrt z)
180.0ms	(cbrt (pow z 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	229	430
1	845	378
2	5001	362

prune298.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
0.6b	(cbrt z)
27.2b	(cbrt (pow z 2))
27.2b	(cbrt (pow z 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
14×	`associate-l`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`sqrt-prod`
9×	`pow1` `add-exp-log` `unpow-prod-down`
8×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`associate-r` `*-commutative`

Counts

4 → 72

Calls

4 calls:

18.0ms	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
0.0ms	(cbrt z)
1.0ms	(cbrt (pow z 2))
1.0ms	(cbrt (pow z 2))

series644.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (sqrt (cbrt (pow z 2))) (* (cbrt z) (sin y)))
184.0ms	(cbrt z)
179.0ms	(cbrt (pow z 2))
175.0ms	(cbrt (pow z 2))

simplify102.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	217	451
1	771	396
2	3304	385
3	5001	382

prune339.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes104.0ms

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

482.0ms	976×	body	1280	valid
387.0ms	5614×	body	80	valid
253.0ms	808×	body	640	valid
92.0ms	385×	body	320	valid
35.0ms	217×	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