Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

327×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (33.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune5.0ms

Filtered

1 candidates to 1 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 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
15×	`times-frac`
13×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`pow1` `associate-/r*`
2×	`+-commutative` `associate-+r+` `flip3-+` `div-sub` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `associate-+r-` `flip3--` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

3.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
8.0ms	(+ 0.75 (/ (- x z) y))
8.0ms	(/ (- x z) y)

series64.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
14.0ms	(+ 0.75 (/ (- x z) y))
25.0ms	(/ (- x z) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	325	399
1	1056	367
2	5001	367

prune116.0ms

Filtered

73 candidates to 53 candidates (72.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 4.0 (* 4.0 (/ (- x z) y)))
0.0b	(* 4.0 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

3.0ms	(+ 4.0 (* 4.0 (/ (- x z) y)))
9.0ms	(* 4.0 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series90.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 4.0 (* 4.0 (/ (- x z) y)))
40.0ms	(* 4.0 (/ (- x z) y))
25.0ms	(/ (- x z) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	336	490
1	1562	452
2	5001	451

prune133.0ms

Filtered

96 candidates to 66 candidates (68.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 0b

Counts

99 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
0.0b	(* 4.0 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`times-frac`
12×	`associate-r`
9×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
5×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-inv`
3×	`associate-l`
2×	`flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`
1×	`+-commutative` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
16.0ms	(* 4.0 (- (/ x y) (/ z y)))
14.0ms	(- (/ x y) (/ z y))

series83.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 4.0 (* 4.0 (- (/ x y) (/ z y))))
38.0ms	(* 4.0 (- (/ x y) (/ z y)))
20.0ms	(- (/ x y) (/ z y))

simplify43.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	297	473
1	1251	441
2	5002	440

prune123.0ms

Filtered

82 candidates to 58 candidates (70.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

84 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

6.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
3.0ms	(+ x (* y 0.75))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series89.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
25.0ms	(+ x (* y 0.75))
40.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	317	380
1	1275	340
2	5001	337

prune87.0ms

Filtered

55 candidates to 41 candidates (74.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Merged error: 0b

Counts

57 → 2

regimes64.0ms

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	11	5
1	11	5

end0.0ms

sample551.0ms

Algorithm

intervals

Results

350.0ms

10183×

body

valid