Details

sample86.0ms

Algorithm

intervals

Results

30.0ms	105×	body	1280	valid
15.0ms	79×	body	640	valid
11.0ms	266×	body	80	valid
6.0ms	46×	body	320	valid
2.0ms	21×	body	160	valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	500	4
6	1427	4
7	4640	4
8	5001	4

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
8.0ms	(* (sin x) (/ (sinh y) y))

series270.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
93.0ms	(/ (sinh y) y)
113.0ms	(* (sin x) (/ (sinh y) y))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune265.0ms

Filtered

77 candidates to 60 candidates (77.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.6b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(* (sin x) (sinh y))
9.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series261.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
89.0ms	(* (sin x) (sinh y))
107.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	418	471
1	2052	387
2	5001	347

prune224.0ms

Filtered

76 candidates to 47 candidates (61.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.1b	(exp (sin x))
3.8b	(log (pow (exp (sin x)) (/ (sinh y) y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log` `log-prod`
6×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1`
3×	`unpow-prod-down` `exp-prod` `rem-log-exp` `associate-/r` `associate-/l`
2×	`sinh-def`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-exp` `clear-num` `log-pow` `div-inv` `rem-exp-log` `associate-/l/` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
2.0ms	(exp (sin x))
3.0ms	(log (pow (exp (sin x)) (/ (sinh y) y)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sinh y)
96.0ms	(/ (sinh y) y)
29.0ms	(exp (sin x))
177.0ms	(log (pow (exp (sin x)) (/ (sinh y) y)))

simplify167.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	318	430
1	995	378
2	4785	346
3	5002	346

prune284.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow y 2) (pow x 2))
0.0b	(+ x (* (* 1/6 x) (- (pow y 2) (pow x 2))))
0.1b	(* (* 1/6 x) (- (pow y 2) (pow x 2)))
0.4b	(* 1/6 x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
32×	`difference-of-squares`
24×	`associate-r`
20×	`unpow-prod-down`
16×	`unpow2` `sqr-pow`
15×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
2×	`flip3--` `associate-r/` `-commutative` `flip--`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

9.0ms	(- (pow y 2) (pow x 2))
4.0ms	(+ x (* (* 1/6 x) (- (pow y 2) (pow x 2))))
14.0ms	(* (* 1/6 x) (- (pow y 2) (pow x 2)))
4.0ms	(* 1/6 x)

series183.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (pow y 2) (pow x 2))
68.0ms	(+ x (* (* 1/6 x) (- (pow y 2) (pow x 2))))
62.0ms	(* (* 1/6 x) (- (pow y 2) (pow x 2)))
18.0ms	(* 1/6 x)

simplify68.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	477	638
1	2119	537
2	5001	522

prune311.0ms

Filtered

117 candidates to 71 candidates (60.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes231.0ms

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	7	4
1	7	4

end0.0ms

sample2.5s

Algorithm

intervals

Results

906.0ms	2929×	body	1280	valid
470.0ms	2428×	body	640	valid
381.0ms	8488×	body	80	valid
167.0ms	1239×	body	320	valid
58.0ms	626×	body	160	valid

Details

sample86.0ms

simplify87.0ms

prune4.0ms

localize7.0ms

rewrite15.0ms

series270.0ms

simplify51.0ms

prune265.0ms

localize9.0ms

rewrite17.0ms

series261.0ms

simplify56.0ms

prune224.0ms

localize12.0ms

rewrite12.0ms

series366.0ms

simplify167.0ms

prune284.0ms

localize11.0ms

rewrite35.0ms

series183.0ms

simplify68.0ms

prune311.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

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