Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

8.0ms

(/ (+ x y) (+ y 1.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (+ x y) (+ y 1.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	191	254
1	588	238
2	1797	238
3	5001	236

prune75.0ms

Filtered

43 candidates to 28 candidates (65.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y y) (* 1.0 1.0))
0.1b	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
14.0b	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 104

Calls

3 calls:

4.0ms	(- (* y y) (* 1.0 1.0))
19.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
9.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* y y) (* 1.0 1.0))
111.0ms	(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
116.0ms	(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	455	960
1	2138	878
2	5003	800

prune254.0ms

Filtered

113 candidates to 83 candidates (73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y 1.0) (- y 1.0))
0.1b	(* (/ (+ x y) (* (+ y 1.0) (- y 1.0))) (- y 1.0))
14.0b	(/ (+ x y) (* (+ y 1.0) (- y 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

11.0ms	(* (+ y 1.0) (- y 1.0))
27.0ms	(* (/ (+ x y) (* (+ y 1.0) (- y 1.0))) (- y 1.0))
16.0ms	(/ (+ x y) (* (+ y 1.0) (- y 1.0)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* (+ y 1.0) (- y 1.0))
42.0ms	(* (/ (+ x y) (* (+ y 1.0) (- y 1.0))) (- y 1.0))
119.0ms	(/ (+ x y) (* (+ y 1.0) (- y 1.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	522	926
1	3037	812
2	5001	812

prune268.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes50.0ms

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	3
1	8	3

end0.0ms

sample337.0ms

Algorithm

intervals

Results

188.0ms	7997×	body	80	valid
0.0ms	3×	body	320	valid