Details

sample75.0ms

Algorithm

intervals

Results

29.0ms	107×	body	1280	valid
15.0ms	292×	body	80	valid
13.0ms	75×	body	640	valid
4.0ms	34×	body	320	valid
1.0ms	17×	body	160	valid

simplify73.0ms

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	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(sinh y)
97.0ms	(* (sin x) (/ (sinh y) y))

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	277	275
1	1155	241
2	5002	232

prune94.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
8×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`rem-sqrt-square` `add-log-exp`
3×	`sqrt-div` `associate-l` `div-inv` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`sinh-def` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sinh y)
175.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
76.0ms	(sqrt (/ (sinh y) y))
76.0ms	(sqrt (/ (sinh y) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	815	1089
1	3602	974
2	5001	966

prune329.0ms

Filtered

104 candidates to 86 candidates (82.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (sqrt (/ (sinh y) y)))
0.0b	(sqrt (/ (sinh y) y))
0.0b	(sqrt (/ (sinh y) y))
2.7b	(log (sqrt (/ (sinh y) y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`log-prod` `associate-r`
10×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`rem-sqrt-square` `sqrt-div` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-l` `log-pow` `unswap-sqr`
1×	`log-div` `associate-r/` `rem-log-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
4.0ms	(log (sqrt (/ (sinh y) y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
78.0ms	(sqrt (/ (sinh y) y))
81.0ms	(sqrt (/ (sinh y) y))
185.0ms	(log (sqrt (/ (sinh y) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1286	1695
1	5002	1548

prune558.0ms

Filtered

124 candidates to 105 candidates (84.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
2.7b	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
2.7b	(log (sqrt (cbrt (/ (sinh y) y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
80×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `times-frac`
56×	`add-cube-cbrt`
47×	`log-pow`
46×	`log-prod`
45×	`pow1`
34×	`sqrt-prod`
33×	`sqrt-pow1`
22×	`pow1/3`
19×	`associate-+r+`
16×	`swap-sqr` `associate-r` `associate-l`
14×	`cbrt-div`
10×	`distribute-rgt-out`
9×	`unswap-sqr`
8×	`add-exp-log` `log-div` `pow1/2` `sqrt-div` `distribute-lft-out`
7×	`pow-sqr` `pow-prod-up`
6×	`pow-prod-down` `div-inv`
4×	`pow2` `associate-+l+` `pow-plus` `add-cbrt-cube` `add-log-exp`
3×	`frac-times` `associate-+l-` `associate-r/` `associate-l/`
2×	`rem-log-exp`
1×	`+-commutative` `associate-+r-` `flip3-+` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 192

Calls

4 calls:

12.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
19.0ms	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
8.0ms	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
4.0ms	(log (sqrt (cbrt (/ (sinh y) y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
791.0ms	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
381.0ms	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
389.0ms	(log (sqrt (cbrt (/ (sinh y) y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	651	2320
1	1922	2218
2	5001	2056

prune827.0ms

Filtered

204 candidates to 152 candidates (74.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Merged error: 0b

Counts

207 → 3

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms

sample2.2s

Algorithm

intervals

Results

864.0ms	2964×	body	1280	valid
440.0ms	2510×	body	640	valid
364.0ms	8573×	body	80	valid
146.0ms	1203×	body	320	valid
50.0ms	582×	body	160	valid