Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune3.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.8b	(/ 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)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* 1.1283791670955126 (exp z))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
76.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify163.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	470
1	994	433
2	4728	432
3	5001	432

prune167.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.7b

Counts

69 → 6

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))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.7b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite30.0ms

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

series220.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	521	1391
1	2422	1259
2	5001	1188

prune246.0ms

Filtered

148 candidates to 88 candidates (59.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	151	3	154

Merged error: 0b

Counts

154 → 3

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))
0.2b	(* 1.1283791670955126 (/ (exp z) y))

rewrite27.0ms

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

series152.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
16.0ms	(/ (exp z) y)
66.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

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

prune215.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.9b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
4.1b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
12.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
193.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y))
97.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* x y)) (cbrt y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	594	1651
1	2901	1473
2	5001	1443

prune405.0ms

Filtered

141 candidates to 119 candidates (84.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Merged error: 0b

Counts

144 → 3

regimes94.0ms

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

sample499.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid