Details

sample101.0ms

Algorithm

intervals

Results

35.0ms	223×	body	10240	exit
31.0ms	101×	body	1280	valid
16.0ms	91×	body	640	valid
4.0ms	16×	body	160	valid
4.0ms	32×	body	320	valid
1.0ms	16×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.8b	(- (exp x) (exp (- x)))

rewrite79.0ms

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:

12.0ms	(+ (exp x) (exp (- x)))
52.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
73.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

simplify236.0ms

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

prune172.0ms

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)

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(tanh x)

simplify75.0ms

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

prune21.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

32.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
11.0ms	(* 2/15 (pow x 5))
12.0ms	(* 1/3 (pow x 3))

series145.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
51.0ms	(* 2/15 (pow x 5))
36.0ms	(* 1/3 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (36.0ms)

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

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
0.0b	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
4.8b	(- (exp (* 2 x)) 1)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
28×	`times-frac`
16×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`distribute-lft-out`
7×	`associate-/l*` `add-log-exp`
6×	`difference-of-sqr-1` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
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` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 84

Calls

3 calls:

9.0ms	(+ (exp (* 2 x)) 1)
39.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
12.0ms	(- (exp (* 2 x)) 1)

series81.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (exp (* 2 x)) 1)
54.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
17.0ms	(- (exp (* 2 x)) 1)

simplify37.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	270	910
1	1067	846
2	5002	842

prune124.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 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

sample3.1s

Algorithm

intervals

Results

1.2s	7493×	body	10240	exit
983.0ms	3275×	body	1280	valid
437.0ms	2445×	body	640	valid
137.0ms	1254×	body	320	valid
43.0ms	627×	body	160	valid
14.0ms	399×	body	80	valid