Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
10.0ms	180×	body	80	valid
6.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ x (sin y))
14.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series109.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ x (sin y))
38.0ms	(+ (+ x (sin y)) (* z (cos y)))
41.0ms	(* z (cos y))

simplify70.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* z (cos y))
0.3b	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1/2`
10×	`add-exp-log` `associate-r` `associate-l` `pow-prod-up` `add-cbrt-cube`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`swap-sqr` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 96

Calls

4 calls:

1.0ms	(sqrt (* z (cos y)))
3.0ms	(* z (cos y))
3.0ms	(* z (cos y))
13.0ms	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (* z (cos y)))
39.0ms	(* z (cos y))
35.0ms	(* z (cos y))
40.0ms	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	236	394
1	1158	347
2	5002	339

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (* z (cos y))) (* (* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y))))) (cbrt (sqrt (* z (cos y))))))
0.3b	(cbrt (sqrt (* z (cos y))))
0.3b	(cbrt (sqrt (* z (cos y))))
0.3b	(cbrt (sqrt (* z (cos y))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
13×	`add-exp-log`
12×	`cbrt-prod`
9×	`add-cube-cbrt` `pow1/3` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`pow-prod-up`
4×	`associate-l` `sqrt-prod` `add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 61

Calls

4 calls:

60.0ms	(* (sqrt (* z (cos y))) (* (* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y))))) (cbrt (sqrt (* z (cos y))))))
2.0ms	(cbrt (sqrt (* z (cos y))))
2.0ms	(cbrt (sqrt (* z (cos y))))
2.0ms	(cbrt (sqrt (* z (cos y))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (* z (cos y))) (* (* (cbrt (sqrt (* z (cos y)))) (cbrt (sqrt (* z (cos y))))) (cbrt (sqrt (* z (cos y))))))
110.0ms	(cbrt (sqrt (* z (cos y))))
103.0ms	(cbrt (sqrt (* z (cos y))))
108.0ms	(cbrt (sqrt (* z (cos y))))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	275	877
1	1009	742
2	5002	547

prune267.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
0.0b	(+ x (sin y))
0.1b	(* (sqrt z) (cos y))
0.3b	(* (sqrt z) (* (sqrt z) (cos y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

15.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
3.0ms	(+ x (sin y))
5.0ms	(* (sqrt z) (cos y))
11.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

series181.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
25.0ms	(+ x (sin y))
64.0ms	(* (sqrt z) (cos y))
41.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	325	504
1	1288	420
2	5001	416

prune197.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

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

436.0ms	1020×	body	1280	valid
285.0ms	5536×	body	80	valid
236.0ms	837×	body	640	valid
70.0ms	408×	body	320	valid
24.0ms	199×	body	160	valid