Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	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: 2.3b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.7b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* 1.1283791670955126 (exp z))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4706	430
3	5001	430

prune181.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Merged error: 1.2b

Counts

69 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series192.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	521	1389
1	2423	1257
2	5002	1186

prune233.0ms

Filtered

148 candidates to 87 candidates (58.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	5	1	6
Picked	1	0	1
Done	0	0	0
Total	153	2	155

Merged error: 0b

Counts

155 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp`
3×	`cbrt-undiv` `associate-l` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `inv-pow`

Counts

4 → 104

Calls

4 calls:

6.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
4.0ms	(/ (exp z) y)
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
8.0ms	(* 1.1283791670955126 (/ (exp z) y))

series144.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
16.0ms	(/ (exp z) y)
63.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	384	725
1	1583	664
2	5002	643

prune205.0ms

Filtered

116 candidates to 78 candidates (67.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Merged error: 0b

Counts

118 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
0.1b	(* 0.5641895835477563 (pow z 2))
0.4b	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
9.3b	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-log-exp`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
6×	`sum-log`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`diff-log` `associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 84

Calls

4 calls:

7.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
6.0ms	(* 0.5641895835477563 (pow z 2))
10.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
11.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126))
24.0ms	(* 0.5641895835477563 (pow z 2))
48.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
247.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	387	814
1	1555	749
2	5001	742

prune192.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample475.0ms

Algorithm

intervals

Results

305.0ms

8000×

body

valid

Details

sample19.0ms

simplify5.0ms

prune2.0ms

localize11.0ms

rewrite17.0ms

series140.0ms

simplify156.0ms

prune181.0ms

localize9.0ms

rewrite32.0ms

series192.0ms

simplify67.0ms

prune233.0ms

localize8.0ms

rewrite28.0ms

series144.0ms

simplify48.0ms

prune205.0ms

localize13.0ms

rewrite35.0ms

series339.0ms

simplify49.0ms

prune192.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample475.0ms

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