Details

sample241.0ms

Algorithm

intervals

Results

130.0ms	96×	body	1280	valid
60.0ms	62×	body	640	valid
15.0ms	23×	body	320	valid
14.0ms	69×	body	80	valid
3.0ms	6×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

59.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
29.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms	(- 3.0 (sqrt 5.0))
3.0ms	(- (cos x) (cos y))

series280.0ms

Counts

4 → 10

Calls

4 calls:

134.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
88.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
57.0ms	(- (cos x) (cos y))

simplify73.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	622	1094
1	2643	1002
2	5003	1002

prune553.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`associate-l`
21×	`times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
13×	`pow1`
11×	`difference-of-squares`
10×	`associate-*r/`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp`
5×	`sub-neg` `pow-prod-down`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `unswap-sqr`
3×	`associate-l/` `-commutative`
1×	`cbrt-undiv` `diff-log` `div-exp` `div-inv` `diff-cos`

Counts

4 → 120

Calls

4 calls:

23.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
57.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
29.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms	(- (cos x) (cos y))

series366.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
132.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
90.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
55.0ms	(- (cos x) (cos y))

simplify84.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	751	1321
1	3282	1206
2	5001	1206

prune808.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b	(- (cos x) (cos y))
5.4b	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-r` `difference-of-squares`
7×	`log-prod` `sqrt-prod` `add-log-exp`
5×	`sub-neg` `distribute-lft-out--`
4×	`distribute-rgt-in` `distribute-lft-in` `exp-sum` `unswap-sqr`
3×	`prod-exp` `log-pow` `cbrt-unprod`
2×	`flip3--` `associate-r/` `pow-prod-down` `-commutative` `flip--`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `diff-log` `div-exp` `rem-log-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 105

Calls

4 calls:

23.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
32.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms	(- (cos x) (cos y))
3.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
123.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
57.0ms	(- (cos x) (cos y))
88.0ms	(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	527	896
1	1879	822
2	5001	820

prune803.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.0b	(- (cos x) (cos y))
5.8b	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
5.8b	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`log-prod`
18×	`sqrt-prod`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1` `log-pow`
8×	`add-exp-log` `exp-sum` `add-log-exp`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `associate-r` `associate-l` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`exp-prod` `flip3--` `exp-to-pow` `pow1/2` `associate-*r/` `rem-log-exp` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`times-frac` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `diff-cos`

Counts

4 → 92

Calls

4 calls:

30.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms	(- (cos x) (cos y))
3.0ms	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
4.0ms	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

series645.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
53.0ms	(- (cos x) (cos y))
250.0ms	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))
250.0ms	(log (sqrt (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))))

simplify139.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	342	1042
1	1075	957
2	4827	949
3	5001	949

prune687.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes224.0ms

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	56	70
1	56	70

end0.0ms

sample7.1s

Algorithm

intervals

Results

4.0s	2694×	body	1280	valid
1.7s	1836×	body	640	valid
540.0ms	780×	body	320	valid
495.0ms	2319×	body	80	valid
170.0ms	371×	body	160	valid