Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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

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: 2.2b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite14.0ms

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:

7.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (121.0ms)

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

prune121.0ms

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:

0.1b	(fma (/ (exp z) y) 1.1283791670955126 (- x))
0.2b	(/ (exp z) y)
0.3b	(/ 1 (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:

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

series125.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (/ (exp z) y) 1.1283791670955126 (- x))
16.0ms	(/ (exp z) y)
64.0ms	(/ 1 (fma (/ (exp z) y) 1.1283791670955126 (- x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (89.0ms)

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

prune147.0ms

Filtered

81 candidates to 57 candidates (70.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.7b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
4.9b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite27.0ms

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:

5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
9.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
10.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series188.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
61.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
69.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

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

prune171.0ms

Filtered

100 candidates to 65 candidates (65.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0b

Counts

103 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
29.2b	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `fma-neg` `pow1/3` `diff-log` `prod-diff` `clear-num` `rem-cbrt-cube`

Counts

4 → 147

Calls

4 calls:

8.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

series333.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
111.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	580	1590
1	2619	1476
2	5001	1462

prune290.0ms

Filtered

159 candidates to 95 candidates (59.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Merged error: 0b

Counts

162 → 3

regimes113.0ms

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	14	6
1	14	6

end0.0ms

sample414.0ms

Algorithm

intervals

Results

246.0ms

8001×

body

valid