Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

372×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	5
1	76	5
2	168	5
3	264	5
4	354	5
5	442	5
6	912	5
7	2430	5
8	5001	5

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: 14.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* z z) (+ z 1.0))
13.7b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `associate-r/` `associate-r*`
3×	`add-cube-cbrt` `pow-prod-down`
2×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

8.0ms	(* (* z z) (+ z 1.0))
11.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (* z z) (+ z 1.0))
69.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	380	385
1	2326	297
2	5001	297

prune90.0ms

Filtered

57 candidates to 33 candidates (57.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 8.8b

Counts

58 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (* x y) (* z z)) (+ z 1.0))
14.8b	(/ (* x y) (* z z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

10.0ms	(/ (/ (* x y) (* z z)) (+ z 1.0))
6.0ms	(/ (* x y) (* z z))

series97.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (/ (* x y) (* z z)) (+ z 1.0))
31.0ms	(/ (* x y) (* z z))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	410	606
1	2148	518
2	5002	518

prune121.0ms

Filtered

79 candidates to 47 candidates (59.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	79	8	87

Merged error: 0.0b

Counts

87 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* (/ x z) (/ y z)) (+ z 1.0))
4.7b	(* (/ x z) (/ y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
13×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
8×	`prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `unswap-sqr`
3×	`div-inv` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `associate-/r/` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `associate-/l`

Counts

2 → 84

Calls

2 calls:

10.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
10.0ms	(* (/ x z) (/ y z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
32.0ms	(* (/ x z) (/ y z))

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	529	567
1	2640	472
2	5001	471

prune148.0ms

Filtered

90 candidates to 58 candidates (64.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Merged error: 0b

Counts

98 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
1.5b	(* (* x (/ y z)) (/ 1 z))
6.2b	(* x (/ y z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
58×	`add-cbrt-cube`
42×	`prod-exp`
34×	`div-exp`
26×	`associate-r`
25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`cbrt-unprod`
20×	`add-cube-cbrt`
18×	`cbrt-undiv`
10×	`pow1`
7×	`associate-*r/`
6×	`rec-exp` `1-exp`
4×	`associate-l` `pow-prod-down` `associate-/r*` `associate-/l/`
3×	`div-inv` `add-log-exp`
2×	`frac-times` `associate-l/` `associate-/r/` `un-div-inv` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l*`

Counts

3 → 123

Calls

3 calls:

13.0ms	(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
10.0ms	(* (* x (/ y z)) (/ 1 z))
7.0ms	(* x (/ y z))

series121.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
34.0ms	(* (* x (/ y z)) (/ 1 z))
19.0ms	(* x (/ y z))

simplify97.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	664	830
1	4226	639
2	5002	617

prune142.0ms

Filtered

132 candidates to 69 candidates (52.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	132	9	141

Merged error: 0b

Counts

141 → 9

regimes161.0ms

Accuracy

14.2% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample494.0ms

Algorithm

intervals

Results

286.0ms

10685×

body

valid