Details

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 10.400391%

Results

14.0ms	256×	body	80	valid
0.0ms	4×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	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: 14.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
4.9b	(/ (* y z) t)
5.7b	(/ (* y b) t)
11.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

4.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
15.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ x (/ (* y z) t))
5.0ms	(/ (* y z) t)
5.0ms	(/ (* y b) t)
38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	454	843
1	1942	782
2	5001	782

prune180.0ms

Filtered

73 candidates to 113 candidates (-54.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	11	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Merged error: 10.7b

Counts

114 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ t z)))
4.8b	(/ y (/ t z))
5.7b	(/ (* y b) t)
11.2b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity` `times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+`
3×	`frac-2neg` `clear-num`
2×	`frac-add` `associate-/l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 150

Calls

4 calls:

14.0ms	(+ x (/ y (/ t z)))
5.0ms	(/ y (/ t z))
4.0ms	(/ (* y b) t)
20.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ x (/ y (/ t z)))
7.0ms	(/ y (/ t z))
5.0ms	(/ (* y b) t)
60.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	661	1208
1	2720	1142
2	5002	1141

prune198.0ms

Filtered

113 candidates to 162 candidates (-43.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	162	11	173

Merged error: 10.1b

Counts

173 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (/ y t) z))
4.8b	(* (/ y t) z)
5.7b	(/ (* y b) t)
11.2b	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
12×	`distribute-lft-out`
8×	`associate-/r*`
6×	`pow1` `add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-r` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `associate-l/` `sum-log` `-commutative`

Counts

4 → 105

Calls

4 calls:

2.0ms	(+ x (* (/ y t) z))
6.0ms	(* (/ y t) z)
4.0ms	(/ (* y b) t)
13.0ms	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (/ (* y b) t)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (* (/ y t) z))
5.0ms	(* (/ y t) z)
5.0ms	(/ (* y b) t)
62.0ms	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (/ (* y b) t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	492	813
1	2016	751
2	5001	751

prune148.0ms

Filtered

79 candidates to 117 candidates (-48.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	117	11	128

Merged error: 10.1b

Counts

128 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.8b	(/ y (/ t z))
5.7b	(/ (* y b) t)
10.8b	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
106×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`associate-/r*` `add-cbrt-cube`
9×	`div-exp` `associate-/r/`
8×	`div-inv`
7×	`pow1` `cbrt-undiv` `associate-/l*`
6×	`flip3-+` `flip-+`
5×	`prod-exp`
4×	`associate-l` `frac-add` `add-log-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 185

Calls

4 calls:

8.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
6.0ms	(/ y (/ t z))
4.0ms	(/ (* y b) t)
26.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
5.0ms	(/ y (/ t z))
5.0ms	(/ (* y b) t)
63.0ms	(* (+ x (/ y (/ t z))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify84.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	781	1452
1	3592	1323
2	5001	1281

prune173.0ms

Filtered

125 candidates to 197 candidates (-57.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	197	11	208

Merged error: 10.1b

Counts

208 → 11

regimes841.0ms

Accuracy

49.3% (3.0b remaining)

Error of 13.3b against oracle of 10.3b and baseline of 16.3b

bsearch29.0ms

Steps

Iters	Range		Point
2	5.2227937548985e-92	5.762571758501322e-92	5.425210506249558e-92
6	-1.3280290489276602e-61	-1.773964132929379e-62	-1.3105096077418626e-61

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	17
1	43	17

end0.0ms

sample5.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 10.400391%

Results

445.0ms	8000×	body	80	valid
14.0ms	263×	body	80	invalid

Details

sample4.9s

simplify7.0ms

prune5.0ms

localize12.0ms

rewrite30.0ms

series55.0ms

simplify47.0ms

prune180.0ms

localize11.0ms

rewrite49.0ms

series82.0ms

simplify65.0ms

prune198.0ms

localize12.0ms

rewrite28.0ms

series83.0ms

simplify52.0ms

prune148.0ms

localize16.0ms

rewrite51.0ms

series87.0ms

simplify84.0ms

prune173.0ms

regimes841.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample5.4s

Profiling