Details

sample69.0ms

Algorithm

intervals

Results

34.0ms	115×	body	1280	valid
16.0ms	71×	body	640	valid
5.0ms	181×	body	80	overflowed
4.0ms	38×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	14×	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: 58.2b

localize8.0ms

Local error

Found 2 expressions with local error:

1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite32.0ms

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:

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

series111.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
39.0ms	(- (exp x) (exp (- x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (21.0ms)

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

prune131.0ms

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)

simplify73.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 2/15 (pow x 5)))
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))

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:

2.0ms	(+ x (* 2/15 (pow x 5)))
13.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
8.0ms	(* 2/15 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series253.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ x (* 2/15 (pow x 5)))
57.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
52.0ms	(* 2/15 (pow x 5))
35.0ms	(* 1/3 (pow x 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	314	437
1	1370	407
2	5002	402

prune175.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* 2 x)) 1)
0.5b	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
4.6b	(- (exp (* 2 x)) 1)

rewrite25.0ms

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:

3.0ms	(+ (exp (* 2 x)) 1)
15.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
4.0ms	(- (exp (* 2 x)) 1)

series76.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp (* 2 x)) 1)
51.0ms	(/ (- (exp (* 2 x)) 1) (+ (exp (* 2 x)) 1))
16.0ms	(- (exp (* 2 x)) 1)

simplify37.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (27.0ms)

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

prune119.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes11.0ms

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

sample2.0s

Algorithm

intervals

Results

982.0ms	3280×	body	1280	valid
428.0ms	2390×	body	640	valid
192.0ms	7496×	body	80	overflowed
138.0ms	1250×	body	320	valid
43.0ms	629×	body	160	valid
16.0ms	451×	body	80	valid