Details

sample63.0ms

Algorithm

intervals

Results

29.0ms	111×	body	1280	valid
11.0ms	65×	body	640	valid
6.0ms	247×	body	80	valid
4.0ms	43×	body	320	valid
2.0ms	28×	body	160	valid

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	108	5
7	267	5
8	1342	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b	(- (exp x) (exp (- x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

8.0ms

(- (exp x) (exp (- x)))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- (exp x) (exp (- x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	158	354
1	416	228
2	2421	226
3	5002	203

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify30.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	49	89
1	150	78
2	862	78
3	5001	78

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
0.6b	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.6b	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.6b	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
0.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

series563.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(* (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))
137.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
140.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
139.0ms	(cbrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))

simplify145.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	305	1320
1	979	1215
2	4393	1065
3	5001	1027

prune310.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp (- x)))
0.0b	(sqrt (exp (- x)))
6.5b	(- (sqrt (exp x)) (sqrt (exp (- x))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
51×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
40×	`add-cube-cbrt`
36×	`prod-diff`
26×	`sqrt-pow1`
23×	`exp-prod`
7×	`pow1`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `fma-neg` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u` `difference-of-squares`
3×	`rem-sqrt-square` `pow1/2`
2×	`neg-sub0` `exp-neg` `neg-mul-1` `exp-diff` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 134

Calls

4 calls:

2.0ms	(sqrt (exp x))
4.0ms	(sqrt (exp (- x)))
4.0ms	(sqrt (exp (- x)))
14.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp x))
14.0ms	(sqrt (exp (- x)))
14.0ms	(sqrt (exp (- x)))
58.0ms	(- (sqrt (exp x)) (sqrt (exp (- x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	267	1624
1	709	1143
2	3153	1081
3	5003	1025

prune289.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

961.0ms	3425×	body	1280	valid
415.0ms	2462×	body	640	valid
192.0ms	7944×	body	80	valid
122.0ms	1202×	body	320	valid
43.0ms	636×	body	160	valid