Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
9.0ms	188×	body	80	valid
5.0ms	22×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ x (sin y))
4.0ms	(* z (cos y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (sin y))
37.0ms	(* z (cos y))

simplify114.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	125	129
1	358	114
2	805	114
3	1557	114
4	4463	114
5	5001	114

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos 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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series471.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
108.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune265.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* z (exp (* 2/3 (log (cos y))))) (cbrt (cos y)))
0.1b	(* 2/3 (log (cos y)))
0.3b	(cbrt (cos y))
2.5b	(log (cos y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
10×	`associate-r`
9×	`log-prod` `add-cbrt-cube`
6×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`log-pow` `*-commutative`
1×	`pow1/3` `rem-log-exp` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

16.0ms	(* (* z (exp (* 2/3 (log (cos y))))) (cbrt (cos y)))
4.0ms	(* 2/3 (log (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(log (cos y))

series335.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* z (exp (* 2/3 (log (cos y))))) (cbrt (cos y)))
102.0ms	(* 2/3 (log (cos y)))
102.0ms	(cbrt (cos y))
88.0ms	(log (cos y))

simplify40.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	255	495
1	1067	398
2	5002	366

prune279.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (exp (* 2/3 (log (cos y)))))
0.1b	(* (* z (exp (* 2/3 (log (cos y))))) (pow (cos y) 1/3))
0.1b	(* 2/3 (log (cos y)))
2.5b	(log (cos y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-r`
18×	`add-exp-log`
17×	`log-prod`
16×	`add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
10×	`pow1`
8×	`exp-sum` `cbrt-unprod`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `*-commutative`
2×	`pow-to-exp` `unpow1/3` `pow-prod-down` `pow-exp` `log-pow`
1×	`rem-log-exp` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

9.0ms	(* z (exp (* 2/3 (log (cos y)))))
17.0ms	(* (* z (exp (* 2/3 (log (cos y))))) (pow (cos y) 1/3))
8.0ms	(* 2/3 (log (cos y)))
1.0ms	(log (cos y))

series326.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* z (exp (* 2/3 (log (cos y)))))
44.0ms	(* (* z (exp (* 2/3 (log (cos y))))) (pow (cos y) 1/3))
102.0ms	(* 2/3 (log (cos y)))
84.0ms	(log (cos y))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	349	699
1	1555	502
2	5001	461

prune308.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

403.0ms	994×	body	1280	valid
294.0ms	5657×	body	80	valid
190.0ms	758×	body	640	valid
64.0ms	383×	body	320	valid
24.0ms	208×	body	160	valid