Details

analyze15.0ms

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

sample65.0ms

Algorithm

intervals

Results

38.0ms	120×	body	1280	valid
13.0ms	66×	body	640	valid
4.0ms	33×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	17×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune4.0ms

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: 57.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
1.5b	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.4b	(- (exp x) (exp (neg x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `times-frac`
16×	`add-cube-cbrt`
8×	`cosh-undef` `distribute-lft-out`
7×	`sinh-undef` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
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 → 86

Calls

3 calls:

4.0ms	(+ (exp x) (exp (neg x)))
14.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (exp x) (exp (neg x)))
14.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4863	1393
1	4863	1393

prune271.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 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)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(tanh x)

simplify33.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	6015	79

prune18.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-l`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-r` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

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

series20.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* (pow x 5) 2/15) (* (pow x 3) -1/3))
4.0ms	(* (pow x 5) 2/15)
4.0ms	(* (pow x 3) -1/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5178	605

prune108.0ms

Filtered

53 candidates to 76 candidates (-43.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

regimes26.0ms

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

sample1.9s

Algorithm

intervals

Results

1.1s	3335×	body	1280	valid
493.0ms	2404×	body	640	valid
157.0ms	1192×	body	320	valid
53.0ms	657×	body	160	valid
20.0ms	412×	body	80	valid

Details

analyze15.0ms

sample65.0ms

simplify47.0ms

prune4.0ms

localize10.0ms

rewrite26.0ms

series23.0ms

simplify58.0ms

prune271.0ms

localize2.0ms

rewrite1.0ms

series18.0ms

simplify33.0ms

prune18.0ms

localize9.0ms

rewrite19.0ms

series20.0ms

simplify51.0ms

prune108.0ms

regimes26.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling