Details

sample76.0ms

Algorithm

intervals

Results

35.0ms	101×	body	1280	valid
16.0ms	82×	body	640	valid
8.0ms	268×	body	80	overflowed
5.0ms	39×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	10×	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: 57.9b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite38.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
24.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
75.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

simplify234.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (26.0ms)

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

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(tanh x)

simplify72.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

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

prune23.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

16.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
2.0ms	(+ x (* 2/15 (pow x 5)))
5.0ms	(* 2/15 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series260.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
112.0ms	(+ x (* 2/15 (pow x 5)))
52.0ms	(* 2/15 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	314	427
1	1376	401
2	5001	396

prune180.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.2b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite14.0ms

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:

0.0ms	(tanh x)
1.0ms	(tanh x)
10.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(tanh x)
81.0ms	(tanh x)
81.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify235.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	199	444
1	725	415
2	4998	407
3	5003	407

prune132.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes12.0ms

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

sample2.2s

Algorithm

intervals

Results

1.0s	3275×	body	1280	valid
494.0ms	2514×	body	640	valid
226.0ms	7564×	body	80	overflowed
147.0ms	1179×	body	320	valid
47.0ms	616×	body	160	valid
19.0ms	416×	body	80	valid