Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	88×	body	1280	valid
13.0ms	75×	body	640	valid
11.0ms	259×	body	80	valid
4.0ms	30×	body	320	valid
3.0ms	28×	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	500	4
6	1427	4
7	4640	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series248.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
86.0ms	(/ (sinh y) y)
100.0ms	(* (sin x) (/ (sinh y) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

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

prune135.0ms

Filtered

77 candidates to 60 candidates (77.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`times-frac` `add-log-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
3×	`associate-/r` `sum-log` `associate-/l`
2×	`pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r+` `frac-2neg` `unpow3` `div-exp` `clear-num` `div-inv`

Counts

4 → 98

Calls

4 calls:

8.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
10.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
5.0ms	(* 1/120 (pow y 5))
6.0ms	(* 1/6 (pow y 3))

series218.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
77.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
51.0ms	(* 1/120 (pow y 5))
39.0ms	(* 1/6 (pow y 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	393	727
1	1861	669
2	5003	669

prune247.0ms

Filtered

110 candidates to 74 candidates (67.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.1b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite16.0ms

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)
4.0ms	(* (sin x) (sinh y))
9.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series251.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
100.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (46.0ms)

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

prune110.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

regimes89.0ms

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

sample2.3s

Algorithm

intervals

Results

890.0ms	2931×	body	1280	valid
452.0ms	2413×	body	640	valid
373.0ms	8493×	body	80	valid
161.0ms	1205×	body	320	valid
56.0ms	616×	body	160	valid

Details

sample68.0ms

simplify73.0ms

prune2.0ms

localize10.0ms

rewrite13.0ms

series248.0ms

simplify40.0ms

prune135.0ms

localize13.0ms

rewrite31.0ms

series218.0ms

simplify59.0ms

prune247.0ms

localize8.0ms

rewrite16.0ms

series251.0ms

simplify51.0ms

prune110.0ms

regimes89.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling