Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 23.937988%

Results

14.0ms

256×

body

valid

simplify100.0ms

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: 25.5b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.4b	(+ (* (+ x y) z) (* (+ t y) a))
2.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite42.0ms

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)
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
13.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series191.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x y) z)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
30.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
140.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (13.0ms)

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

prune170.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	89	13	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	14	103

Merged error: 7.8b

Counts

103 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.4b	(+ (* (+ x y) z) (* (+ t y) a))
2.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.8b	(/ (+ (+ 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:

16.0ms	(/ 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)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
29.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
42.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (63.0ms)

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

prune163.0ms

Filtered

93 candidates to 188 candidates (-102.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	190	12	202

Merged error: 3.7b

Counts

202 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.4b	(+ (* (+ x y) z) (* (+ t y) a))
2.3b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.0b	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

10.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
9.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
21.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
38.0ms	(* (+ (+ x t) y) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify75.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	570	1401
1	2857	1266
2	5003	1240

prune149.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	118	12	130

Merged error: 3.7b

Counts

130 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
24.6b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
24.6b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
24.6b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`associate-r`
32×	`times-frac`
30×	`cbrt-div`
29×	`add-sqr-sqrt`
25×	`cbrt-prod`
24×	`add-cube-cbrt`
18×	`distribute-lft-out`
16×	`add-exp-log` `frac-times`
15×	`flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

39.0ms	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
9.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
8.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
8.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
115.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
116.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
116.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify75.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	591	3388
1	2399	3077
2	5001	2930

prune117.0ms

Filtered

90 candidates to 126 candidates (-40.0%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	126	12	138

Merged error: 3.7b

Counts

138 → 12

regimes1.1s

Accuracy

85.5% (3.2b remaining)

Error of 7.8b against oracle of 4.6b and baseline of 26.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	32
1	36	32

end0.0ms

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 23.937988%

Results

449.0ms	7998×	body	80	valid
0.0ms	2×	body	160	valid

Details

sample3.9s

simplify100.0ms

prune5.0ms

localize14.0ms

rewrite42.0ms

series191.0ms

simplify62.0ms

prune170.0ms

localize17.0ms

rewrite54.0ms

series218.0ms

simplify91.0ms

prune163.0ms

localize16.0ms

rewrite51.0ms

series112.0ms

simplify75.0ms

prune149.0ms

localize19.0ms

rewrite69.0ms

series482.0ms

simplify75.0ms

prune117.0ms

regimes1.1s

bsearch1.0ms

simplify1.0ms

end0.0ms

sample4.9s

Profiling