Details

sample102.0ms

Algorithm

intervals

Results

38.0ms	247×	body	10240	exit
34.0ms	103×	body	1280	valid
13.0ms	74×	body	640	valid
5.0ms	45×	body	320	valid
1.0ms	19×	body	160	valid
0.0ms	15×	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: 57.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite36.0ms

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)))
23.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
74.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
38.0ms	(- (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

prune164.0ms

Pruning

2 alts after pruning (2 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)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

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

rewrite31.0ms

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)))
15.0ms	(- (+ 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))

series252.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ x (* 2/15 (pow x 5)))
51.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
50.0ms	(* 2/15 (pow x 5))
35.0ms	(* 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

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(pow (tanh x) 3)
37.0b	(cbrt (pow (tanh x) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cube-div` `unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `tanh-def` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

0.0ms	(tanh x)
2.0ms	(pow (tanh x) 3)
2.0ms	(cbrt (pow (tanh x) 3))

series259.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(tanh x)
106.0ms	(pow (tanh x) 3)
77.0ms	(cbrt (pow (tanh x) 3))

simplify31.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	237	267
1	827	242
2	5002	236

prune93.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	7626×	body	10240	exit
972.0ms	3276×	body	1280	valid
414.0ms	2388×	body	640	valid
134.0ms	1247×	body	320	valid
42.0ms	636×	body	160	valid
16.0ms	453×	body	80	valid