Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

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: 2.2b

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)))

rewrite11.0ms

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` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 41

Calls

2 calls:

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

series126.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	226	401
1	800	369
2	3475	367
3	5001	367

prune110.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 1.6b

Counts

48 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-/r/` `inv-pow`

Counts

3 → 118

Calls

3 calls:

8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series180.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	480	1324
1	2234	1197
2	5001	1126

prune199.0ms

Filtered

127 candidates to 73 candidates (57.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Merged error: 0b

Counts

132 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.2b	(/ (exp z) y)
0.3b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

rewrite30.0ms

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:

5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(* 1.1283791670955126 (/ (exp z) y))
4.0ms	(/ (exp z) y)
8.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
23.0ms	(* 1.1283791670955126 (/ (exp z) y))
16.0ms	(/ (exp z) y)
61.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	384	727
1	1583	666
2	5002	645

prune199.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0b

Counts

120 → 4

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))

rewrite32.0ms

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`
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` `pow1/3` `diff-log` `clear-num` `rem-cbrt-cube`

Counts

4 → 137

Calls

4 calls:

8.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

series358.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3)
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
114.0ms	(cbrt (pow (/ y (- (* 1.1283791670955126 (exp z)) (* x y))) 3))

simplify77.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	554	1540
1	2550	1441
2	5001	1433

prune259.0ms

Filtered

149 candidates to 85 candidates (57.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	149	4	153

Merged error: 0b

Counts

153 → 4

regimes117.0ms

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	15	6
1	15	6

end0.0ms

sample416.0ms

Algorithm

intervals

Results

251.0ms

8001×

body

valid