Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

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: 3.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 47

Calls

2 calls:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify126.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	246	428
1	870	393
2	3756	390
3	5001	387

prune138.0ms

Filtered

53 candidates to 43 candidates (81.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp z) y)
0.1b	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
0.1b	(fma (/ (exp z) y) 1.1283791670955126 (- x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
1×	`rec-exp` `pow-flip` `1-exp` `fma-udef` `inv-pow`

Counts

3 → 72

Calls

3 calls:

4.0ms	(/ (exp z) y)
3.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
1.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))

series125.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (exp z) y)
65.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))
43.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))

simplify94.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	262	527
1	851	479
2	3499	463
3	5001	461

prune197.0ms

Filtered

81 candidates to 57 candidates (70.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-l` `prod-diff` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `fma-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 124

Calls

4 calls:

10.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
9.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
8.0ms	(* 1.1283791670955126 (/ (exp z) y))

series148.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
16.0ms	(/ (exp z) y)
68.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	459	981
1	1920	906
2	5002	808

prune310.0ms

Filtered

136 candidates to 91 candidates (66.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Merged error: 0b

Counts

138 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
16×	`add-exp-log`
15×	`associate-r`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `associate-/r` `flip--` `log1p-expm1-u` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `fma-neg` `diff-log` `associate-r/` `prod-diff` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 91

Calls

3 calls:

6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
11.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series187.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	385	795
1	1728	703
2	5001	670

prune220.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Merged error: 0b

Counts

102 → 2

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample430.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid