Details

sample82.0ms

Algorithm

intervals

Results

42.0ms	112×	body	1280	valid
15.0ms	79×	body	640	valid
7.0ms	239×	body	80	overflowed
4.0ms	33×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	11×	body	80	valid

simplify45.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 58.3b

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))))
5.3b	(- (exp x) (exp (neg x)))

rewrite17.0ms

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 → 61

Calls

2 calls:

10.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.0ms	(- (exp x) (exp (neg x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	256	836
1	810	780
2	3280	772
3	5001	772

prune74.0ms

Filtered

67 candidates to 47 candidates (29.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.0b

Counts

68 → 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` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(tanh x)

simplify81.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	92	48
1	206	45
2	619	45
3	3203	45
4	5002	45

prune18.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

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

series13.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	276	360
1	1208	332
2	5001	328

prune103.0ms

Filtered

79 candidates to 49 candidates (38.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize4.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.3b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`tanh-def`
9×	`frac-times`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 84

Calls

3 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
8.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(tanh x)
14.0ms	(tanh x)
14.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	200	444
1	733	415
2	5001	407

prune65.0ms

Filtered

93 candidates to 51 candidates (45.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes29.0ms

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	1

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	3299×	body	1280	valid
497.0ms	2474×	body	640	valid
244.0ms	7654×	body	80	overflowed
152.0ms	1204×	body	320	valid
49.0ms	626×	body	160	valid
16.0ms	397×	body	80	valid

Details

sample82.0ms

simplify45.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series19.0ms

simplify103.0ms

prune74.0ms

localize2.0ms

rewrite1.0ms

series15.0ms

simplify81.0ms

prune18.0ms

localize8.0ms

rewrite19.0ms

series13.0ms

simplify44.0ms

prune103.0ms

localize4.0ms

rewrite13.0ms

series41.0ms

simplify36.0ms

prune65.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling