Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	224×	body	10240	exit
31.0ms	104×	body	1280	valid
13.0ms	70×	body	640	valid
10.0ms	58×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	11×	body	80	valid

simplify43.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize7.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
3.7b	(- (exp x) (exp (- 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 → 61

Calls

2 calls:

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

series107.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
39.0ms	(- (exp x) (exp (- x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	252	836
1	806	782
2	3319	775
3	5002	775

prune133.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

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)

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify73.0ms

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

prune21.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

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))

rewrite17.0ms

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))

series141.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
50.0ms	(* 2/15 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	276	362
1	1208	335
2	5001	331

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (tanh x)) (cbrt (tanh x)))
0.7b	(cbrt (tanh x))
0.7b	(cbrt (tanh x))
0.7b	(cbrt (tanh x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (cbrt (tanh x)) (cbrt (tanh x)))
2.0ms	(cbrt (tanh x))
2.0ms	(cbrt (tanh x))
2.0ms	(cbrt (tanh x))

series754.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (tanh x)) (cbrt (tanh x)))
178.0ms	(cbrt (tanh x))
181.0ms	(cbrt (tanh x))
186.0ms	(cbrt (tanh x))

simplify125.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	259	769
1	807	701
2	4106	670
3	5001	662

prune195.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

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

sample3.2s

Algorithm

intervals

Results

1.3s	7754×	body	10240	exit
990.0ms	3312×	body	1280	valid
463.0ms	2491×	body	640	valid
138.0ms	1222×	body	320	valid
41.0ms	588×	body	160	valid
14.0ms	387×	body	80	valid