Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	94×	body	1280	valid
7.0ms	82×	body	640	valid
4.0ms	363×	pre	80	true
2.0ms	46×	body	320	valid
1.0ms	117×	body	80	valid
1.0ms	24×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize6.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune36.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-l`
9×	`add-exp-log`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 49

Calls

2 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series80.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	239
1	1168	216
2	5001	216

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(+ (sqrt (exp x)) (sqrt 1.0))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
19×	`sqrt-prod`
9×	`associate-r`
8×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`frac-times` `flip3--` `sqrt-pow1` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--`
3×	`sub-neg` `exp-prod`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`+-commutative` `rem-sqrt-square` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

2.0ms	(sqrt (exp x))
6.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
15.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series179.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp x))
30.0ms	(+ (sqrt (exp x)) (sqrt 1.0))
95.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
42.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	262	774
1	1117	677
2	5001	652

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (exp x)))
0.0b	(sqrt (sqrt (exp x)))
0.0b	(* (* (+ (sqrt (exp x)) (sqrt 1.0)) (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
6.6b	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

68×	`sqrt-prod`
51×	`add-sqr-sqrt`
28×	`frac-times`
23×	`*-un-lft-identity`
20×	`sqrt-pow1`
18×	`flip3-+` `flip-+` `difference-of-squares`
15×	`associate-r`
14×	`associate-*l/`
13×	`pow1`
11×	`add-cube-cbrt`
10×	`flip3--` `flip--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`exp-prod` `distribute-lft-out--` `add-log-exp`
4×	`rem-sqrt-square` `pow1/2`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`diff-log` `associate-l` `*-commutative`

Counts

4 → 128

Calls

4 calls:

3.0ms	(sqrt (sqrt (exp x)))
3.0ms	(sqrt (sqrt (exp x)))
27.0ms	(* (* (+ (sqrt (exp x)) (sqrt 1.0)) (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
13.0ms	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (sqrt (exp x)))
80.0ms	(sqrt (sqrt (exp x)))
368.0ms	(* (* (+ (sqrt (exp x)) (sqrt 1.0)) (+ (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))) (- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0))))
129.0ms	(- (sqrt (sqrt (exp x))) (sqrt (sqrt 1.0)))

simplify99.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	621	2047
1	3990	1764
2	5001	1746

prune309.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

472.0ms	3364×	body	1280	valid
210.0ms	2490×	body	640	valid
94.0ms	11963×	pre	80	true
66.0ms	1303×	body	320	valid
49.0ms	4138×	body	80	valid
22.0ms	668×	body	160	valid