Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

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: 3.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite18.0ms

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

series172.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1.1283791670955126 (exp z))
67.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
86.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify172.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (34.0ms)

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

prune170.0ms

Filtered

68 candidates to 51 candidates (75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	4	69

Merged error: 1.7b

Counts

69 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.3b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite31.0ms

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))
9.0ms	(/ 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)

series224.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
83.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (62.0ms)

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

prune274.0ms

Filtered

148 candidates to 89 candidates (60.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	150	2	152

Merged error: 0b

Counts

152 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

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

series158.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
24.0ms	(* 1.1283791670955126 (/ (exp z) y))
78.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	359	585
1	1488	533
2	5002	512

prune164.0ms

Filtered

86 candidates to 56 candidates (65.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* 1.1283791670955126 (exp z)) (* x y))
4.4b	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
6.4b	(/ y (/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y))))
16.6b	(/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`associate-/r*`
17×	`difference-of-squares`
11×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `div-sub` `sum-log`

Counts

4 → 150

Calls

4 calls:

5.0ms	(+ (* 1.1283791670955126 (exp z)) (* x y))
10.0ms	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
21.0ms	(/ y (/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y))))
17.0ms	(/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1.1283791670955126 (exp z)) (* x y))
132.0ms	(- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y)))
137.0ms	(/ y (/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y))))
178.0ms	(/ (- (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (* (* x y) (* x y))) (+ (* 1.1283791670955126 (exp z)) (* x y)))

simplify187.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	697	3379
1	4372	3173
2	5003	3173

prune472.0ms

Filtered

162 candidates to 137 candidates (84.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	2	164

Merged error: 0b

Counts

164 → 2

regimes82.0ms

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

sample433.0ms

Algorithm

intervals

Results

266.0ms

8000×

body

valid