Details

sample68.0ms

Algorithm

intervals

Results

25.0ms	90×	body	1280	valid
12.0ms	73×	body	640	valid
12.0ms	281×	body	80	valid
4.0ms	37×	body	320	valid
2.0ms	29×	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: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.5b	(* (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:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series252.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
103.0ms	(* (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	5001	382

prune143.0ms

Filtered

77 candidates to 61 candidates (79.2%)

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: 0.5b

Counts

78 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
0.0b	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
6×	`pow1`
4×	`sqr-pow`
3×	`sum-log` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `unpow2`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down`

Counts

4 → 87

Calls

4 calls:

8.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
10.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms	(* 1/120 (pow y 4))
6.0ms	(* 1/6 (pow y 2))

series233.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
129.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
38.0ms	(* 1/120 (pow y 4))
24.0ms	(* 1/6 (pow y 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	408	619
1	1874	548
2	5002	548

prune194.0ms

Filtered

99 candidates to 62 candidates (62.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0.5b

Counts

102 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))))
0.1b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))
3.5b	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
15×	`add-exp-log` `associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`pow1` `log-prod` `associate-l` `prod-exp`
4×	`log-div` `exp-prod` `add-log-exp` `sqr-pow`
3×	`exp-sum`
2×	`pow-to-exp` `flip3-+` `exp-diff` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unpow2`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

8.0ms	(exp (log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))))
5.0ms	(* 1/120 (pow y 4))
5.0ms	(* 1/6 (pow y 2))
7.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(exp (log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))))
40.0ms	(* 1/120 (pow y 4))
24.0ms	(* 1/6 (pow y 2))
114.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	361	614
1	1387	550
2	5001	534

prune266.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	95	3	98

Merged error: 0.5b

Counts

98 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/6 (pow y 2))
0.2b	(* 1/6 (pow y 2))
3.5b	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
3.5b	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-exp-log` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
6×	`pow1` `log-prod` `associate-l` `prod-exp`
4×	`log-div` `unpow2` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* 1/6 (pow y 2))
5.0ms	(* 1/6 (pow y 2))
7.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
7.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/6 (pow y 2))
29.0ms	(* 1/6 (pow y 2))
110.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
117.0ms	(log (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))

simplify39.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	256	626
1	957	552
2	5002	550

prune318.0ms

Filtered

94 candidates to 64 candidates (68.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.5b

Counts

97 → 3

regimes95.0ms

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

sample2.1s

Algorithm

intervals

Results

796.0ms	2869×	body	1280	valid
434.0ms	2415×	body	640	valid
355.0ms	8533×	body	80	valid
157.0ms	1287×	body	320	valid
48.0ms	579×	body	160	valid