Details

sample183.0ms

Algorithm

intervals

Results

93.0ms	84×	body	1280	valid
38.0ms	55×	body	640	valid
11.0ms	24×	body	320	valid
11.0ms	78×	body	80	valid
5.0ms	15×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	30
1	182	30
2	657	30
3	2727	30
4	5001	30

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

30×	`flip3--` `flip--`
28×	`frac-times` `associate-*r/`
25×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg` `difference-of-squares`
5×	`sqrt-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--`
2×	`diff-log` `*-commutative` `diff-cos` `unswap-sqr`
1×	`times-frac`

Counts

4 → 115

Calls

4 calls:

176.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
26.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
3.0ms	(- (cos x) (cos y))

series366.0ms

Counts

4 → 10

Calls

4 calls:

222.0ms	(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
91.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
53.0ms	(- (cos x) (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	844	1973
1	4413	1829
2	5001	1829

prune713.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (- (cos x) (cos y)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
1.0b	(- 3.0 (sqrt 5.0))
2.4b	(- (cos x) (cos y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
12×	`unpow-prod-down` `cube-prod`
10×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`distribute-lft-out--`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `diff-cos`
4×	`cube-div` `flip3--` `flip--`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sqrt-prod` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 90

Calls

4 calls:

5.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
5.0ms	(pow (- (cos x) (cos y)) 3)
3.0ms	(- 3.0 (sqrt 5.0))
3.0ms	(- (cos x) (cos y))

series182.0ms

Counts

4 → 10

Calls

4 calls:

58.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
65.0ms	(pow (- (cos x) (cos y)) 3)
0.0ms	(- 3.0 (sqrt 5.0))
58.0ms	(- (cos x) (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	355	636
1	1227	608
2	5002	601

prune512.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.5b	(cbrt (pow (- (cos x) (cos y)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
2.4b	(- (cos x) (cos y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
18×	`cbrt-prod`
13×	`add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-r` `associate-l` `distribute-lft-out--` `add-log-exp`
5×	`diff-cos`
4×	`cube-div` `flip3--` `sqrt-prod` `flip--`
3×	`sub-neg` `pow-unpow`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `distribute-lft-in` `unpow3` `associate-*r/` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `times-frac` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 106

Calls

4 calls:

32.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
5.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
5.0ms	(pow (- (cos x) (cos y)) 3)
3.0ms	(- (cos x) (cos y))

series469.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
56.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
69.0ms	(pow (- (cos x) (cos y)) 3)
55.0ms	(- (cos x) (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	406	821
1	1588	778
2	5002	770

prune662.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (pow (- (cos x) (cos y)) 3))
0.6b	(pow (- (cos x) (cos y)) 3)
2.4b	(- (cos x) (cos y))
4.0b	(/ (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (+ (sin x) (/ (sin y) 16.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`cbrt-prod`
12×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-*r/` `add-log-exp`
5×	`pow1` `diff-cos` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `flip3--` `times-frac` `associate-/r*` `flip--`
3×	`pow-unpow` `frac-sub` `sin-mult`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `associate-/r/` `distribute-lft-out` `sqr-pow`
1×	`frac-times` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `associate-l/` `pow-exp` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `div-inv` `associate-/l` `rem-cube-cbrt`

Counts

4 → 105

Calls

4 calls:

5.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
5.0ms	(pow (- (cos x) (cos y)) 3)
3.0ms	(- (cos x) (cos y))
23.0ms	(/ (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (+ (sin x) (/ (sin y) 16.0)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (pow (- (cos x) (cos y)) 3))
71.0ms	(pow (- (cos x) (cos y)) 3)
57.0ms	(- (cos x) (cos y))
185.0ms	(/ (* (sqrt 2.0) (- (* (sin x) (sin x)) (* (/ (sin y) 16.0) (/ (sin y) 16.0)))) (+ (sin x) (/ (sin y) 16.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	519	1161
1	2272	1026
2	5001	1019

prune684.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	48
1	57	48

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.1s	2762×	body	1280	valid
1.3s	1862×	body	640	valid
366.0ms	732×	body	320	valid
325.0ms	2291×	body	80	valid
110.0ms	353×	body	160	valid