Details

sample107.0ms

Algorithm

intervals

Results

45.0ms	270×	body	10240	exit
32.0ms	110×	body	1280	valid
11.0ms	67×	body	640	valid
4.0ms	42×	body	320	valid
1.0ms	20×	body	160	valid
1.0ms	17×	body	80	valid

simplify46.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0b	(- (exp x) (exp (- x)))

rewrite83.0ms

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)))
54.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (exp x) (exp (- x)))
74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))

simplify245.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

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

prune170.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

simplify76.0ms

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

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`associate-r`
16×	`add-exp-log`
12×	`times-frac`
10×	`add-cbrt-cube`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `cube-prod` `associate-/r*` `sqr-pow`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 103

Calls

4 calls:

12.0ms	(+ (exp x) (exp (- x)))
93.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
14.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series217.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (exp x) (exp (- x)))
100.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
49.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	483	1031
1	2122	953
2	5001	952

prune336.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (cbrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))
6.0b	(- (exp x) (exp (- x)))
6.0b	(- (exp x) (exp (- x)))
6.0b	(- (exp x) (exp (- x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
76×	`cbrt-prod`
60×	`add-sqr-sqrt`
56×	`times-frac`
38×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`associate-/l*`
7×	`associate-/r*`
6×	`add-exp-log`
4×	`pow1` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 129

Calls

4 calls:

53.0ms	(/ (cbrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))
16.0ms	(- (exp x) (exp (- x)))
14.0ms	(- (exp x) (exp (- x)))
14.0ms	(- (exp x) (exp (- x)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(/ (cbrt (- (exp x) (exp (- x)))) (cbrt (+ (exp x) (exp (- x)))))
41.0ms	(- (exp x) (exp (- x)))
36.0ms	(- (exp x) (exp (- x)))
38.0ms	(- (exp x) (exp (- x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	296	2154
1	737	2095
2	3468	2054
3	5001	2051

prune393.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

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	7689×	body	10240	exit
993.0ms	3349×	body	1280	valid
445.0ms	2470×	body	640	valid
126.0ms	1173×	body	320	valid
43.0ms	592×	body	160	valid
15.0ms	416×	body	80	valid