Details

sample194.0ms

Algorithm

intervals

Results

98.0ms	77×	body	1280	valid
47.0ms	58×	body	640	valid
16.0ms	90×	body	80	valid
10.0ms	17×	body	320	valid
10.0ms	14×	body	160	valid

simplify54.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b	(- 3.0 (sqrt 5.0))
2.7b	(- (cos x) (cos y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`associate-l`
20×	`times-frac`
18×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`associate-r`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`distribute-lft-out--`
4×	`sub-neg` `unswap-sqr`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `pow-prod-down` `-commutative`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `diff-cos`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- 3.0 (sqrt 5.0))
4.0ms	(- (cos x) (cos y))

series30.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
14.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms	(- 3.0 (sqrt 5.0))
9.0ms	(- (cos x) (cos y))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	584	813
1	2075	753
2	5001	753

prune387.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	98	14	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	14	113

Merged error: 0.1b

Counts

113 → 14

localize38.0ms

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)))
0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.7b	(- (cos x) (cos y))

rewrite46.0ms

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:

17.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
10.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
17.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))

simplify77.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (16.0ms)

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

prune431.0ms

Filtered

89 candidates to 132 candidates (-48.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	133	13	146

Merged error: 0.1b

Counts

146 → 13

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.7b	(- (cos x) (cos y))
3.9b	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite33.0ms

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:

10.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ (- (sqrt 5.0) 1.0) 2.0) (cos x))
17.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))
24.0ms	(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	593	1063
1	2233	966
2	5001	966

prune431.0ms

Filtered

80 candidates to 117 candidates (-46.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	116	14	130

Merged error: 0.1b

Counts

130 → 14

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
2.7b	(- (cos x) (cos y))
4.3b	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
4.3b	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

rewrite27.0ms

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:

11.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms	(- (cos x) (cos y))
4.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
4.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms	(- (cos x) (cos y))
50.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))
53.0ms	(log (sqrt (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	383	1410
1	1295	1293
2	5002	1283

prune404.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	103	15	118

Merged error: 0.1b

Counts

118 → 15

regimes275.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	52
1	51	52

end0.0ms

sample6.4s

Algorithm

intervals

Results

3.6s	2758×	body	1280	valid
1.5s	1794×	body	640	valid
438.0ms	2381×	body	80	valid
437.0ms	717×	body	320	valid
138.0ms	350×	body	160	valid

Details

sample194.0ms

simplify54.0ms

prune5.0ms

localize38.0ms

rewrite33.0ms

series30.0ms

simplify58.0ms

prune387.0ms

localize38.0ms

rewrite46.0ms

series56.0ms

simplify77.0ms

prune431.0ms

localize44.0ms

rewrite33.0ms

series57.0ms

simplify58.0ms

prune431.0ms

localize47.0ms

rewrite27.0ms

series125.0ms

simplify44.0ms

prune404.0ms

regimes275.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample6.4s

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