Details

sample4.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 12.033081%

Results

18.0ms	255×	body	80	valid
0.0ms	1×	body	160	valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	71	10
2	184	10
3	381	10
4	682	10
5	1102	10
6	2122	10
7	4337	10
8	5001	10

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: 24.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series188.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
136.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	523	1089
1	2308	1025
2	5001	1025

prune167.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	12	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 7.1b

Counts

103 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.7b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
12×	`associate-*l/`
11×	`add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `associate-l` `flip-+`
5×	`prod-exp`
4×	`frac-add` `unswap-sqr`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `diff-log` `div-exp` `pow-prod-down` `sum-log` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `associate--l+` `un-div-inv` `div-inv`

Counts

4 → 98

Calls

4 calls:

5.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
19.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
134.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	606	1129
1	2949	1025
2	5001	1005

prune147.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	109	13	122

Merged error: 7.1b

Counts

122 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

17.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
28.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
39.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify112.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	703	3188
1	3355	2977
2	5002	2859

prune167.0ms

Filtered

94 candidates to 188 candidates (-100.0%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	3	8	11
Picked	1	0	1
Done	0	1	1
Total	188	13	201

Merged error: 3.7b

Counts

201 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ 1 (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
22.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

651×	`times-frac`
479×	`*-un-lft-identity`
279×	`add-sqr-sqrt` `add-cube-cbrt`
120×	`distribute-lft-out`
73×	`associate-/r*`
49×	`add-exp-log`
36×	`div-exp`
31×	`associate-/r/`
18×	`flip3-+` `flip-+` `div-inv`
15×	`add-cbrt-cube`
13×	`rec-exp` `1-exp`
11×	`add-log-exp`
8×	`associate-*l/`
7×	`cbrt-undiv`
6×	`pow1` `associate-/l*`
4×	`pow-flip` `frac-add`
2×	`flip3--` `frac-2neg` `diff-log` `clear-num` `sum-log` `flip--` `associate-/l/` `inv-pow`
1×	`+-commutative` `sub-neg` `div-sub` `associate--l+` `remove-double-div`

Counts

4 → 384

Calls

4 calls:

23.0ms	(/ 1 (/ 1 (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series318.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ 1 (/ 1 (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
28.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
138.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify114.0ms

Algorithm

egg-herbie

Counts

396 → 396

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1421	7999
1	5001	7034

prune215.0ms

Filtered

155 candidates to 396 candidates (-155.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	395	1	396
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	396	13	409

Merged error: 3.7b

Counts

409 → 13

regimes1.1s

Accuracy

85.2% (3.3b remaining)

Error of 7.8b against oracle of 4.5b and baseline of 26.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	34
1	41	34

end0.0ms

sample5.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 12.033081%

Results

459.0ms	7997×	body	80	valid
0.0ms	3×	body	160	valid

Details

sample4.5s

simplify122.0ms

prune4.0ms

localize14.0ms

rewrite37.0ms

series188.0ms

simplify80.0ms

prune167.0ms

localize15.0ms

rewrite45.0ms

series185.0ms

simplify92.0ms

prune147.0ms

localize15.0ms

rewrite54.0ms

series211.0ms

simplify112.0ms

prune167.0ms

localize19.0ms

rewrite83.0ms

series318.0ms

simplify114.0ms

prune215.0ms

regimes1.1s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample5.2s

Profiling