Details

sample75.0ms

Algorithm

intervals

Results

27.0ms	93×	body	1280	valid
12.0ms	65×	body	640	valid
12.0ms	289×	body	80	valid
7.0ms	52×	body	320	valid
3.0ms	31×	body	160	valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 3 expressions with local error:

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

rewrite14.0ms

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:

4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series238.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (sinh y) y)
56.0ms	(sinh y)
99.0ms	(* (sin x) (/ (sinh y) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune160.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series670.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (sinh y))
172.0ms	(cbrt y)
176.0ms	(cbrt y)
165.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	112	192
1	214	178
2	461	170
3	1394	170
4	5001	170

prune212.0ms

Filtered

57 candidates to 49 candidates (86.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

13.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
11.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
5.0ms	(* 1/120 (pow y 5))
10.0ms	(* 1/6 (pow y 3))

series365.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
77.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
50.0ms	(* 1/120 (pow y 5))
35.0ms	(* 1/6 (pow y 3))

simplify81.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	503	1017
1	2584	915
2	5002	915

prune317.0ms

Filtered

129 candidates to 88 candidates (68.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	131	3	134

Merged error: 0b

Counts

134 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/120 (pow y 5))
0.1b	(* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)))
0.1b	(* 1/6 (pow y 3))
14.8b	(/ (* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`associate-r`
21×	`add-exp-log`
15×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-l`
8×	`unpow-prod-down` `prod-exp` `unswap-sqr`
6×	`pow1`
4×	`cube-prod` `associate-*r/` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `div-exp` `pow-exp` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `cube-mult` `frac-2neg` `distribute-lft-in` `unpow3` `pow-prod-down` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 101

Calls

4 calls:

5.0ms	(* 1/120 (pow y 5))
10.0ms	(* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)))
6.0ms	(* 1/6 (pow y 3))
11.0ms	(/ (* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))) y)

series481.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 1/120 (pow y 5))
174.0ms	(* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)))
34.0ms	(* 1/6 (pow y 3))
210.0ms	(/ (* (sin x) (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))) y)

simplify81.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	514	796
1	2782	686
2	5002	685

prune262.0ms

Filtered

113 candidates to 75 candidates (66.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes92.0ms

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

sample2.2s

Algorithm

intervals

Results

876.0ms	3013×	body	1280	valid
443.0ms	2424×	body	640	valid
345.0ms	8444×	body	80	valid
175.0ms	1339×	body	320	valid
57.0ms	608×	body	160	valid