Details

analyze17.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample63.0ms

Algorithm

intervals

Results

35.0ms	109×	body	1280	valid
15.0ms	76×	body	640	valid
5.0ms	40×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	7×	body	80	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4864	13
1	4864	13

prune2.0ms

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: 59.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.5b	(- (exp x) (exp (neg x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

10.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
4.0ms	(- (exp x) (exp (neg x)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5364	1090

prune65.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

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` `tanh-def-c` `add-cbrt-cube` `tanh-def-b` `add-log-exp` `tanh-def-a`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(tanh x)

simplify15.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	5145	79

prune16.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (* (pow x 5) 2/15) (* 1/3 (pow x 3))))
0.0b	(- (* (pow x 5) 2/15) (* 1/3 (pow x 3)))
0.1b	(* (pow x 5) 2/15)
0.2b	(* 1/3 (pow x 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-log-exp`
10×	`associate-l`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `sub-neg` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r-` `associate-+r+` `flip3--` `flip3-+` `unpow3` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ x (- (* (pow x 5) 2/15) (* 1/3 (pow x 3))))
4.0ms	(- (* (pow x 5) 2/15) (* 1/3 (pow x 3)))
7.0ms	(* (pow x 5) 2/15)
6.0ms	(* 1/3 (pow x 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (- (* (pow x 5) 2/15) (* 1/3 (pow x 3))))
11.0ms	(- (* (pow x 5) 2/15) (* 1/3 (pow x 3)))
4.0ms	(* (pow x 5) 2/15)
4.0ms	(* 1/3 (pow x 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4865	890
1	4865	890

prune125.0ms

Filtered

63 candidates to 94 candidates (-49.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Merged error: 0b

Counts

96 → 2

regimes24.0ms

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	2	2
1	2	2

end0.0ms

analyze14.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample1.9s

Algorithm

intervals

Results

1.1s	3402×	body	1280	valid
483.0ms	2424×	body	640	valid
144.0ms	1149×	body	320	valid
50.0ms	639×	body	160	valid
16.0ms	386×	body	80	valid
0.0ms	2×	body	80	overflowed

Details

analyze17.0ms

sample63.0ms

simplify52.0ms

prune2.0ms

localize7.0ms

rewrite16.0ms

series20.0ms

simplify49.0ms

prune65.0ms

localize2.0ms

rewrite1.0ms

series14.0ms

simplify15.0ms

prune16.0ms

localize8.0ms

rewrite23.0ms

series24.0ms

simplify37.0ms

prune125.0ms

regimes24.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze14.0ms

sample1.9s

Profiling