Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	4

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: 15.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x 2.0) y)
15.2b	(/ (* (* x 2.0) y) (- x y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`add-cube-cbrt` `times-frac` `associate-/r*`
3×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down`
2×	`associate-/r/` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`flip3--` `frac-2neg` `associate-l` `clear-num` `-commutative` `flip--` `div-inv` `associate-/l`

Counts

2 → 47

Calls

2 calls:

5.0ms	(* (* x 2.0) y)
8.0ms	(/ (* (* x 2.0) y) (- x y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (* x 2.0) y)
62.0ms	(/ (* (* x 2.0) y) (- x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	239	253
1	1492	208
2	5001	208

prune68.0ms

Filtered

53 candidates to 32 candidates (60.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.3b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`flip3--` `flip--` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 78

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- x y))
61.0ms	(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	310	435
1	1657	385
2	5001	385

prune111.0ms

Filtered

84 candidates to 56 candidates (66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	82	6	88

Merged error: 0b

Counts

88 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.6b	(/ (* x 2.0) (/ (- x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 96

Calls

2 calls:

5.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (- x y) y)
62.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	386	605
1	1911	548
2	5001	547

prune133.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b	(/ (* x 2.0) (- (/ x y) 1))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`times-frac`
11×	`*-un-lft-identity`
10×	`associate-/r*`
8×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
4×	`difference-of-sqr-1`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out--`
1×	`pow1` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

10.0ms

(/ (* x 2.0) (- (/ x y) 1))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(/ (* x 2.0) (- (/ x y) 1))

simplify71.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	201	249
1	850	216
2	3876	216
3	5001	216

prune45.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

regimes42.0ms

Accuracy

99% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.8b

bsearch62.0ms

Steps

Iters	Range		Point
8	6.042829624826513e-05	0.820229799340741	0.00862321081018719
10	-5.6941803921493696e-08	-5.358946631019795e-21	-3.077005854270389e-11

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	12
1	26	12

end0.0ms

sample354.0ms

Algorithm

intervals

Results

228.0ms

8000×

body

valid

Details

sample16.0ms

simplify16.0ms

prune1.0ms

localize5.0ms

rewrite14.0ms

series82.0ms

simplify44.0ms

prune68.0ms

localize6.0ms

rewrite18.0ms

series104.0ms

simplify45.0ms

prune111.0ms

localize5.0ms

rewrite18.0ms

series85.0ms

simplify49.0ms

prune133.0ms

localize6.0ms

rewrite11.0ms

series56.0ms

simplify71.0ms

prune45.0ms

regimes42.0ms

bsearch62.0ms

simplify1.0ms

end0.0ms

sample354.0ms

Profiling