Details

sample95.0ms

Algorithm

intervals

Results

34.0ms	217×	body	10240	exit
31.0ms	107×	body	1280	valid
14.0ms	81×	body	640	valid
4.0ms	34×	body	320	valid
1.0ms	16×	body	160	valid
1.0ms	18×	body	80	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	59	9
5	174	9
6	1153	9
7	5001	9

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: 56.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.1b	(- (exp x) (exp (- x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ (exp x) (exp (- x)))
11.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0ms	(- (exp x) (exp (- x)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
76.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify242.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	281	936
1	947	870
2	4970	860
3	5003	860

prune161.0ms

Filtered

82 candidates to 60 candidates (73.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(tanh x)

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	48
1	195	45
2	599	45
3	2891	45
4	5002	45

prune23.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

14.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
4.0ms	(+ (exp x) (exp (- x)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series212.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
23.0ms	(+ (exp x) (exp (- x)))
52.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	483	1031
1	2122	953
2	5001	952

prune285.0ms

Filtered

115 candidates to 78 candidates (67.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/3 (pow x 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

16.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
5.0ms	(* 1/60 (pow x 5))
5.0ms	(* 1/12 (pow x 4))
6.0ms	(* 1/3 (pow x 3))

series294.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)))
51.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/12 (pow x 4))
41.0ms	(* 1/3 (pow x 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	522	1049
1	2518	967
2	5003	966

prune317.0ms

Filtered

128 candidates to 83 candidates (64.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0b

Counts

132 → 4

regimes17.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7412×	body	10240	exit
992.0ms	3330×	body	1280	valid
434.0ms	2410×	body	640	valid
139.0ms	1221×	body	320	valid
48.0ms	632×	body	160	valid
18.0ms	407×	body	80	valid