Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	40	5
6	61	5
7	143	5
8	1357	5
9	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp x) (exp (neg x)))
9.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))

simplify128.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	192	411
1	634	377
2	3020	374
3	5001	373

prune57.0ms

Filtered

51 candidates to 39 candidates (23.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ -1 (exp x)) (exp x))
0.0b	(/ -1 (exp x))
0.0b	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
81×	`times-frac`
67×	`*-un-lft-identity`
43×	`add-cube-cbrt`
24×	`difference-of-squares`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`associate-/l*`
12×	`distribute-lft-out--`
9×	`associate-/r*`
7×	`neg-mul-1` `add-cbrt-cube`
6×	`add-exp-log`
5×	`add-log-exp`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`neg-sub0` `sub-neg` `diff-log` `div-sub` `distribute-frac-neg`

Counts

3 → 134

Calls

3 calls:

11.0ms	(- (/ -1 (exp x)) (exp x))
4.0ms	(/ -1 (exp x))
11.0ms	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (/ -1 (exp x)) (exp x))
4.0ms	(/ -1 (exp x))
12.0ms	(/ (neg 2.0) (- (/ -1 (exp x)) (exp x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	441	1397
1	1549	1346
2	5002	1338

prune155.0ms

Filtered

143 candidates to 98 candidates (31.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	143	3	146

Merged error: 0b

Counts

146 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (neg x)))
0.0b	(/ 2.0 (+ (exp x) (exp (neg x))))
0.3b	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
18×	`exp-prod`
8×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`log-prod` `flip3-+` `flip-+` `associate-/l*`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

3 → 75

Calls

3 calls:

4.0ms	(+ (exp x) (exp (neg x)))
6.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
7.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (exp x) (exp (neg x)))
8.0ms	(/ 2.0 (+ (exp x) (exp (neg x))))
9.0ms	(log (exp (/ 2.0 (+ (exp x) (exp (neg x))))))

simplify128.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	242	644
1	693	591
2	2948	587
3	5002	585

prune92.0ms

Filtered

84 candidates to 62 candidates (26.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes85.0ms

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	8	5
1	8	5

end0.0ms

sample367.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid

Details

sample15.0ms

simplify134.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify128.0ms

prune57.0ms

localize6.0ms

rewrite31.0ms

series22.0ms

simplify53.0ms

prune155.0ms

localize9.0ms

rewrite20.0ms

series21.0ms

simplify128.0ms

prune92.0ms

regimes85.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample367.0ms

Profiling