Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify84.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	205	309
1	681	292
2	2801	286
3	5002	286

prune66.0ms

Filtered

48 candidates to 32 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
10.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))
95.0ms	(cbrt (- 1.0 x))
103.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify144.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	316	847
1	1010	807
2	4438	753
3	5001	749

prune268.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 (- 1.0 x)) (pow x 2))
0.0b	(* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x))
21.0b	(/ (+ (pow x 3) (pow 1.0 3)) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
9×	`times-frac` `associate-/l*`
8×	`frac-times` `unpow-prod-down` `flip3-+` `cube-prod` `associate-/r/` `flip-+`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-l/`
3×	`associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

7.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
12.0ms	(* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x))
22.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* 1.0 (- 1.0 x)) (pow x 2))
40.0ms	(* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x))
73.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (- 1.0 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	453	1058
1	2224	939
2	5001	939

prune212.0ms

Filtered

99 candidates to 68 candidates (68.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample240.0ms

Algorithm

intervals

Results

155.0ms

8000×

body

valid

Details

sample10.0ms

simplify5.0ms

prune1.0ms

localize4.0ms

rewrite9.0ms

series32.0ms

simplify84.0ms

prune66.0ms

localize9.0ms

rewrite23.0ms

series384.0ms

simplify144.0ms

prune268.0ms

localize11.0ms

rewrite45.0ms

series133.0ms

simplify64.0ms

prune212.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample240.0ms

Profiling