Details

sample66.0ms

Algorithm

intervals

Results

19.0ms	51×	body	1280	valid
14.0ms	330×	body	80	valid
11.0ms	54×	body	640	valid
4.0ms	29×	body	320	valid
2.0ms	18×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	144	4
4	278	4
5	531	4
6	1543	4
7	4958	4
8	5001	4

prune3.0ms

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: 15.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.2b	(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series43.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
19.0ms	(/ (* (sin x) (sinh y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	280	320
1	1233	272
2	5001	255

prune79.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite13.0ms

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) x)
7.0ms	(* (sin x) (/ (sinh y) x))

series42.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(sinh y)
13.0ms	(/ (sinh y) x)
19.0ms	(* (sin x) (/ (sinh y) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	328	433
1	1261	387
2	5001	385

prune83.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
22.0ms	(/ x (sinh y))
22.0ms	(/ (sin x) (/ x (sinh y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	475	938
1	1984	886
2	5001	865

prune116.0ms

Filtered

99 candidates to 119 candidates (-20.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	5	2	7
Picked	1	0	1
Done	0	2	2
Total	121	8	129

Merged error: 0b

Counts

129 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
22.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	311	427
1	1229	381
2	5002	358

prune59.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0b

Counts

86 → 8

regimes254.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.0s

Algorithm

intervals

Results

569.0ms	1895×	body	1280	valid
451.0ms	10315×	body	80	valid
377.0ms	1923×	body	640	valid
156.0ms	1099×	body	320	valid
55.0ms	588×	body	160	valid

Details

sample66.0ms

simplify74.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series43.0ms

simplify38.0ms

prune79.0ms

localize6.0ms

rewrite13.0ms

series42.0ms

simplify39.0ms

prune83.0ms

localize6.0ms

rewrite14.0ms

series51.0ms

simplify54.0ms

prune116.0ms

localize7.0ms

rewrite13.0ms

series34.0ms

simplify39.0ms

prune59.0ms

regimes254.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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