Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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: 2.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify152.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	312	564
1	1073	525
2	4469	521
3	5001	518

prune167.0ms

Filtered

73 candidates to 60 candidates (82.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `rec-exp` `pow-flip` `flip3-+` `1-exp` `sum-log` `flip-+` `fma-udef` `inv-pow`

Counts

4 → 90

Calls

4 calls:

4.0ms	(/ (exp z) y)
6.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
1.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
7.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (exp z) y)
38.0ms	(+ x (/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x))))
48.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
62.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify147.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	334	669
1	1077	602
2	4893	599
3	5001	598

prune193.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
9.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/`
4×	`pow1` `cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

9.0ms	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
73.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify145.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	334	1140
1	1057	1084
2	4401	1070
3	5001	1059

prune369.0ms

Filtered

121 candidates to 100 candidates (82.6%)

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

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample413.0ms

Algorithm

intervals

Results

249.0ms

8000×

body

valid