Details

sample20.0ms

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: 3.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite42.0ms

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:

16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
13.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5001	551

prune176.0ms

Filtered

83 candidates to 63 candidates (75.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

6.0ms

(- x (/ 1 x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(- x (/ 1 x))

simplify79.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	82	88
1	229	82
2	1594	79
3	5001	79

prune27.0ms

Filtered

20 candidates to 12 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.1b	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))
1.6b	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
27×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 121

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
14.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))
7.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))
91.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	483	1264
1	2137	1124
2	5002	1105

prune266.0ms

Filtered

133 candidates to 90 candidates (67.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Merged error: 0b

Counts

136 → 3

regimes116.0ms

Accuracy

65.8% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample493.0ms

Algorithm

intervals

Results

326.0ms

8001×

body

valid

Details

sample20.0ms

simplify5.0ms

prune2.0ms

localize9.0ms

rewrite42.0ms

series186.0ms

simplify41.0ms

prune176.0ms

localize3.0ms

rewrite7.0ms

series27.0ms

simplify79.0ms

prune27.0ms

localize11.0ms

rewrite35.0ms

series250.0ms

simplify64.0ms

prune266.0ms

regimes116.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample493.0ms

Profiling