Details

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.025697%

Results

14.0ms

256×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

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: 28.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
26.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite38.0ms

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

series207.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
152.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

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

prune163.0ms

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: 7.8b

Counts

103 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
26.2b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite56.0ms

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))))
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
44.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (61.0ms)

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

prune167.0ms

Filtered

93 candidates to 188 candidates (-102.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	188	12	200

Merged error: 3.2b

Counts

200 → 12

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune47.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 3.2b

Counts

12 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.2b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
26.3b	(* (- (+ (* (+ 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:

6.0ms	(* (+ x y) z)
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
8.0ms	(+ (* (+ x y) z) (* (+ t y) a))
19.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
152.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (61.0ms)

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

prune100.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	109	13	122

Merged error: 3.2b

Counts

122 → 13

regimes1.1s

Accuracy

85.3% (3.5b remaining)

Error of 7.7b against oracle of 4.2b and baseline of 28.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	43	34

end0.0ms

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 55.025697%

Results

437.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

sample2.1s

simplify94.0ms

prune5.0ms

localize17.0ms

rewrite38.0ms

series207.0ms

simplify63.0ms

prune163.0ms

localize17.0ms

rewrite56.0ms

series237.0ms

simplify88.0ms

prune167.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune47.0ms

localize15.0ms

rewrite45.0ms

series208.0ms

simplify73.0ms

prune100.0ms

regimes1.1s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling