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: 3.8b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.6b	(/ 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)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify125.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (24.0ms)

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

prune122.0ms

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: 2.4b

Counts

48 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite27.0ms

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)

series179.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (54.0ms)

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

prune215.0ms

Filtered

127 candidates to 75 candidates (59.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 92

Calls

3 calls:

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

series103.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (exp z) y)
21.0ms	(* 1.1283791670955126 (/ (exp z) y))
66.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	369	622
1	1531	570
2	5002	552

prune192.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	101	5	106

Merged error: 0b

Counts

106 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(* 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×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 83

Calls

3 calls:

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

series188.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	361	755
1	1646	667
2	5002	635

prune156.0ms

Filtered

92 candidates to 58 candidates (63.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	92	5	97

Merged error: 0b

Counts

97 → 5

regimes134.0ms

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

sample489.0ms

Algorithm

intervals

Results

319.0ms

8000×

body

valid