Details

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.6875%

Results

13.0ms	256×	body	80	valid
1.0ms	11×	body	80	invalid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5002	8

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: 22.1b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
0.5b	(+ (* x y) (* z (- t a)))
21.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `distribute-rgt-in` `sub-neg` `distribute-lft-in`
5×	`associate-r`
4×	`flip3-+` `flip-+`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ y (* z (- b y)))
6.0ms	(* z (- b y))
13.0ms	(+ (* x y) (* z (- t a)))
84.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	353	708
1	1481	648
2	5001	648

prune146.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 21.5b

Counts

100 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(/ 1 (+ y (* z (- b y))))
0.5b	(+ (* x y) (* z (- t a)))
21.4b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- b y))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
10.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* z (- b y))
27.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* z (- t a)))
84.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	449	955
1	2234	847
2	5001	821

prune150.0ms

Filtered

75 candidates to 128 candidates (-70.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	125	13	138

Merged error: 21.5b

Counts

138 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
21.4b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
7.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt z)
22.0ms	(cbrt z)
20.0ms	(cbrt z)
95.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify190.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (179.0ms)

Iter	Nodes	Cost
0	266	804
1	970	735
2	4745	700
3	5001	697

prune149.0ms

Filtered

59 candidates to 76 candidates (-28.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	76	13	89

Merged error: 21.5b

Counts

89 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

9.1b	(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
17.9b	(cbrt (+ (* x y) (* z (- t a))))
17.9b	(cbrt (+ (* x y) (* z (- t a))))
17.9b	(cbrt (+ (* x y) (* z (- t a))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
16×	`add-exp-log` `frac-times` `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×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

17.0ms	(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))
3.0ms	(cbrt (+ (* x y) (* z (- t a))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* (cbrt (+ (* x y) (* z (- t a)))) (cbrt (+ (* x y) (* z (- t a))))) (/ (cbrt (+ (* x y) (* z (- t a)))) (+ y (* z (- b y)))))
52.0ms	(cbrt (+ (* x y) (* z (- t a))))
53.0ms	(cbrt (+ (* x y) (* z (- t a))))
50.0ms	(cbrt (+ (* x y) (* z (- t a))))

simplify76.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	625	2249
1	2423	2027
2	5001	1928

prune125.0ms

Filtered

90 candidates to 114 candidates (-26.7%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	113	14	127

Merged error: 21.5b

Counts

127 → 14

regimes1.0s

Accuracy

0% (0.6b remaining)

Error of 23.4b against oracle of 22.8b and baseline of 23.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.6875%

Results

426.0ms	8000×	body	80	valid
24.0ms	416×	body	80	invalid

Details

sample2.0s

simplify108.0ms

prune5.0ms

localize15.0ms

rewrite21.0ms

series110.0ms

simplify46.0ms

prune146.0ms

localize13.0ms

rewrite27.0ms

series137.0ms

simplify66.0ms

prune150.0ms

localize18.0ms

rewrite11.0ms

series157.0ms

simplify190.0ms

prune149.0ms

localize16.0ms

rewrite32.0ms

series245.0ms

simplify76.0ms

prune125.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Profiling