Details

sample101.0ms

Algorithm

intervals

Results

42.0ms	240×	body	10240	exit
29.0ms	99×	body	1280	valid
13.0ms	78×	body	640	valid
5.0ms	47×	body	320	valid
1.0ms	19×	body	160	valid
0.0ms	13×	body	80	valid

simplify48.0ms

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: 58.0b

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))))
5.5b	(- (exp x) (exp (- x)))

rewrite37.0ms

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)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
78.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
42.0ms	(- (exp x) (exp (- x)))

simplify242.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

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

prune168.0ms

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)

series78.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(tanh x)

simplify73.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

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

prune25.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite56.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
35.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
101.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
48.0ms	(* 1/60 (pow x 5))
41.0ms	(* 1/3 (pow x 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (54.0ms)

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

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 3) (pow x 3))
0.1b	(* 1/3 (pow x 3))
0.1b	(* 1/3 (pow x 3))
38.3b	(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (* (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))) (+ (exp x) (exp (- x)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
36×	`associate-r`
34×	`unpow-prod-down` `*-un-lft-identity` `cube-prod`
31×	`add-exp-log`
30×	`add-cube-cbrt`
24×	`unswap-sqr`
18×	`swap-sqr` `associate-l`
16×	`prod-exp` `sqr-pow`
15×	`add-cbrt-cube`
8×	`pow-to-exp` `pow-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cube-mult` `unpow3`
5×	`times-frac` `associate-/l*`
4×	`pow1` `frac-times` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `sum-cubes` `associate-/l/` `distribute-lft-out`
1×	`pow2` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 177

Calls

4 calls:

11.0ms	(* (pow x 3) (pow x 3))
6.0ms	(* 1/3 (pow x 3))
6.0ms	(* 1/3 (pow x 3))
97.0ms	(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (* (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))) (+ (exp x) (exp (- x)))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (pow x 3) (pow x 3))
42.0ms	(* 1/3 (pow x 3))
36.0ms	(* 1/3 (pow x 3))
237.0ms	(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (* (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))) (+ (exp x) (exp (- x)))))

simplify161.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	834	2132
1	4659	1852
2	5001	1850

prune614.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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

1.3s	7550×	body	10240	exit
990.0ms	3320×	body	1280	valid
441.0ms	2464×	body	640	valid
137.0ms	1220×	body	320	valid
39.0ms	574×	body	160	valid
15.0ms	422×	body	80	valid