Details

sample70.0ms

Algorithm

intervals

Results

19.0ms	51×	body	1280	valid
14.0ms	333×	body	80	valid
12.0ms	64×	body	640	valid
5.0ms	37×	body	320	valid
2.0ms	20×	body	160	valid

simplify76.0ms

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: 16.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
16.5b	(/ (* (sin x) (sinh y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series42.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (sin x) (sinh y))
21.0ms	(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	263	280
1	1202	235
2	5001	218

prune65.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	6	48

Merged error: 0b

Counts

48 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) x)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

3.0ms	(/ (sinh y) x)
7.0ms	(* (sin x) (/ (sinh y) x))

series36.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ (sinh y) x)
21.0ms	(* (sin x) (/ (sinh y) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	312	393
1	1238	350
2	5001	332

prune64.0ms

Filtered

47 candidates to 66 candidates (-40.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

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

series45.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ x (sinh y))
22.0ms	(/ (sin x) (/ x (sinh y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	456	898
1	1951	849
2	5001	827

prune94.0ms

Filtered

88 candidates to 108 candidates (-22.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* (/ (sin x) x) (sinh y))
4.0ms	(/ (sin x) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	290	387
1	1188	344
2	5002	331

prune85.0ms

Filtered

50 candidates to 67 candidates (-34.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0b

Counts

72 → 5

regimes132.0ms

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

533.0ms	1809×	body	1280	valid
436.0ms	10343×	body	80	valid
376.0ms	1957×	body	640	valid
150.0ms	1113×	body	320	valid
56.0ms	608×	body	160	valid

Details

sample70.0ms

simplify76.0ms

prune3.0ms

localize6.0ms

rewrite11.0ms

series42.0ms

simplify37.0ms

prune65.0ms

localize7.0ms

rewrite12.0ms

series36.0ms

simplify41.0ms

prune64.0ms

localize6.0ms

rewrite14.0ms

series45.0ms

simplify53.0ms

prune94.0ms

localize6.0ms

rewrite12.0ms

series24.0ms

simplify37.0ms

prune85.0ms

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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