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: 3.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.8b	(/ 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)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* 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 (22.0ms)

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

prune130.0ms

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: 1.8b

Counts

48 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite29.0ms

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

series178.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (50.0ms)

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

prune252.0ms

Filtered

127 candidates to 74 candidates (58.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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-r/` `associate-l*` `associate-/r/` `div-inv`
2×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ (exp z) y)
7.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
9.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series148.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (exp z) y)
42.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1))
65.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) (/ x 1)))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	411	796
1	1885	694
2	5002	690

prune263.0ms

Filtered

118 candidates to 83 candidates (70.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	2	120

Merged error: 0b

Counts

120 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
1.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

rewrite28.0ms

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-l`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `inv-pow`

Counts

3 → 82

Calls

3 calls:

6.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

series160.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
46.0ms	(* (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	343	736
1	1519	650
2	5002	628

prune193.0ms

Filtered

91 candidates to 61 candidates (67.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

regimes74.0ms

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	16	7
1	18	7
2	18	7

end0.0ms

sample422.0ms

Algorithm

intervals

Results

251.0ms

8000×

body

valid