Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.400513%

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

prune4.0ms

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: 2.1b

Counts

2 → 1

localize8.0ms

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))
8.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite24.0ms

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:

8.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (31.0ms)

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

prune106.0ms

Filtered

63 candidates to 83 candidates (-31.7%)

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

localize17.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (/ y (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
8.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

29.0ms	(* (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (/ y (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (/ 1 (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))))) (/ y (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
25.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
28.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
25.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	642	2325
1	2926	2012
2	5002	1809

prune263.0ms

Filtered

94 candidates to 131 candidates (-39.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Merged error: 0b

Counts

134 → 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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(- x (/ 1 x))

simplify82.0ms

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

prune20.0ms

Filtered

12 candidates to 20 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	20	3	23

Merged error: 0b

Counts

23 → 3

regimes272.0ms

Accuracy

63.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 82.400513%

Results

331.0ms

8000×

body

valid

Details

sample1.1s

simplify5.0ms

prune4.0ms

localize8.0ms

rewrite24.0ms

series48.0ms

simplify38.0ms

prune106.0ms

localize17.0ms

rewrite47.0ms

series92.0ms

simplify83.0ms

prune263.0ms

localize3.0ms

rewrite7.0ms

series3.0ms

simplify82.0ms

prune20.0ms

regimes272.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling