Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

372×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	5
1	78	5
2	179	5
3	277	5
4	375	5
5	488	5
6	977	5
7	2511	5
8	5002	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)))

rewrite19.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `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 → 55

Calls

2 calls:

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

series116.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (* z z) (+ z 1.0))
67.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	387	405
1	2384	314
2	5001	313

prune105.0ms

Filtered

61 candidates to 37 candidates (60.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	8	62

Merged error: 8.8b

Counts

62 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `flip-+` `associate-/l/`

Counts

2 → 77

Calls

2 calls:

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

series99.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (/ (* x y) (* z z)) (+ z 1.0))
31.0ms	(/ (* x y) (* z z))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	417	626
1	2184	535
2	5002	535

prune124.0ms

Filtered

83 candidates to 51 candidates (61.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `-commutative` `flip-+` `associate-/l`

Counts

2 → 88

Calls

2 calls:

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (* (/ x z) (/ y z)) (+ z 1.0))
27.0ms	(* (/ x z) (/ y z))

simplify63.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	536	587
1	2675	489
2	5001	488

prune147.0ms

Filtered

94 candidates to 62 candidates (66.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	93	9	102

Merged error: 0b

Counts

102 → 9

localize9.0ms

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))

rewrite36.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 129

Calls

3 calls:

15.0ms	(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
9.0ms	(* (* x (/ y z)) (/ 1 z))
6.0ms	(* x (/ y z))

series112.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (* (* x (/ y z)) (/ 1 z)) (+ z 1.0))
29.0ms	(* (* x (/ y z)) (/ 1 z))
18.0ms	(* x (/ y z))

simplify131.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	673	860
1	4267	666
2	5001	656

prune152.0ms

Filtered

138 candidates to 75 candidates (54.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	138	9	147

Merged error: 0b

Counts

147 → 9

regimes158.0ms

Accuracy

12.8% (2.6b 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	32	18
1	32	18

end0.0ms

sample490.0ms

Algorithm

intervals

Results

284.0ms

10685×

body

valid