Details

sample19.0ms

Algorithm

intervals

Results

11.0ms

501×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	4
1	25	4
2	49	4
3	96	4
4	253	4
5	821	4
6	3115	4
7	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(exp (- (- 1.0 (* x x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `distribute-neg-in` `*-un-lft-identity` `exp-sum` `add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`prod-diff` `rem-exp-log`
2×	`neg-log` `difference-of-squares`
1×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `neg-mul-1` `sub-neg` `exp-diff` `diff-log` `add-cbrt-cube` `log1p-expm1-u`

Counts

1 → 31

Calls

1 calls:

5.0ms

(exp (- (- 1.0 (* x x))))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(exp (- (- 1.0 (* x x))))

simplify57.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	140	176
1	392	156
2	1701	140
3	5001	133

prune60.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`unpow-prod-up` `add-cube-cbrt` `distribute-neg-in`
18×	`prod-diff`
16×	`pow-unpow`
11×	`sqrt-prod`
8×	`exp-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down` `difference-of-squares`
3×	`pow1`
2×	`add-exp-log` `expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sub-neg` `pow-exp` `sum-log` `pow-sub` `sqr-pow`

Counts

2 → 75

Calls

2 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
13.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series183.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(exp (+ (sqrt 1.0) x))
163.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	410	888
1	1452	728
2	5001	569

prune141.0ms

Filtered

81 candidates to 47 candidates (58.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

255×	`sqrt-prod`
174×	`add-sqr-sqrt`
156×	`unpow-prod-up` `distribute-neg-in`
138×	`prod-diff`
128×	`*-un-lft-identity`
116×	`add-cube-cbrt`
41×	`swap-sqr`
37×	`unpow-prod-down`
32×	`pow-unpow`
31×	`associate-r` `associate-l`
16×	`unswap-sqr` `sqr-pow`
14×	`sqrt-div`
13×	`pow1`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`pow-pow`
9×	`neg-sub0` `pow-neg` `sub-neg` `pow-sub`
8×	`exp-prod` `difference-of-squares`
7×	`sqrt-pow1` `pow1/2` `exp-sum`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`rem-sqrt-square` `pow-prod-down` `pow-sqr` `pow-prod-up`
2×	`pow-to-exp` `neg-mul-1` `associate-r/` `associate-l/` `pow-exp` `distribute-lft-out`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 314

Calls

4 calls:

11.0ms	(sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x))))
40.0ms	(* (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))))
16.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))
13.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series734.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x))))
171.0ms	(* (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))) (sqrt (pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))))
168.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))
171.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	604	5174
1	2398	4142
2	5001	4115

prune733.0ms

Filtered

326 candidates to 167 candidates (51.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	326	4	330

Merged error: 0.0b

Counts

330 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- (- (sqrt 1.0) x)) 2))
1.0b	(pow (exp (+ (sqrt 1.0) x)) 2)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
55×	`pow-unpow`
51×	`*-un-lft-identity`
48×	`times-frac`
35×	`add-cube-cbrt`
18×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
17×	`unpow-prod-down`
12×	`difference-of-squares`
8×	`exp-prod`
6×	`pow-pow` `sqrt-prod` `distribute-lft-out--` `add-log-exp`
5×	`pow-exp`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-to-exp` `neg-mul-1` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `sqr-pow`
2×	`rem-exp-log` `distribute-lft-out` `unpow2`
1×	`neg-sub0` `pow-neg` `div-sub` `distribute-frac-neg` `sum-log` `div-inv` `pow-sub`

Counts

3 → 119

Calls

3 calls:

5.0ms	(exp (+ (sqrt 1.0) x))
15.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- (- (sqrt 1.0) x)) 2))
9.0ms	(pow (exp (+ (sqrt 1.0) x)) 2)

series256.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(exp (+ (sqrt 1.0) x))
178.0ms	(pow (pow (exp (+ (sqrt 1.0) x)) 2) (/ (- (- (sqrt 1.0) x)) 2))
57.0ms	(pow (exp (+ (sqrt 1.0) x)) 2)

simplify68.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	622	1222
1	2381	1171
2	5002	1124

prune287.0ms

Filtered

128 candidates to 80 candidates (62.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	129	3	132

Merged error: 0.0b

Counts

132 → 3

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	15	9
1	15	9

end0.0ms

sample532.0ms

Algorithm

intervals

Results

349.0ms

16070×

body

valid