Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify9.0ms

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: 3.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
21.0ms	(* 1.1283791670955126 (exp z))
72.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
94.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune217.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0b

Counts

84 → 5

localize15.0ms

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))
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite34.0ms

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:

6.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series249.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 1.1283791670955126 (exp z))
68.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
69.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
92.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify90.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (73.0ms)

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

prune300.0ms

Filtered

148 candidates to 89 candidates (60.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	149	4	153

Merged error: 0b

Counts

153 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

12.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
5.0ms	(/ (exp z) y)
9.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series185.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
29.0ms	(/ (exp z) y)
78.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
28.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	429	750
1	1716	680
2	5002	676

prune260.0ms

Filtered

117 candidates to 80 candidates (68.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-exp-log`
21×	`add-cube-cbrt`
20×	`times-frac` `add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l` `add-log-exp`
4×	`associate-*r/` `pow-prod-down`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `unswap-sqr`
2×	`associate-/r/` `un-div-inv` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `inv-pow`

Counts

4 → 106

Calls

4 calls:

10.0ms	(* (exp z) (/ 1 y))
16.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x)))
13.0ms	(/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x))
10.0ms	(* 1.1283791670955126 (* (exp z) (/ 1 y)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (exp z) (/ 1 y))
50.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x)))
84.0ms	(/ 1 (- (* 1.1283791670955126 (* (exp z) (/ 1 y))) x))
27.0ms	(* 1.1283791670955126 (* (exp z) (/ 1 y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	489	814
1	2019	692
2	5002	679

prune227.0ms

Filtered

118 candidates to 74 candidates (62.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	118	3	121

Merged error: 0b

Counts

121 → 3

regimes130.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample461.0ms

Algorithm

intervals

Results

287.0ms

8000×

body

valid