Details

sample472.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

32.0ms	567×	body	80	valid
17.0ms	288×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune6.0ms

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(/ (* t t) 2.0)
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
49.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(/ (* t t) 2.0)
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	413	610
1	1743	532
2	5002	532

prune178.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
5.0ms	(/ (* t t) 2.0)
8.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series82.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(/ (* t t) 2.0)
11.0ms	(* (- (* x 0.5) y) (sqrt z))
17.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	479	808
1	2307	701
2	5001	697

prune164.0ms

Filtered

70 candidates to 103 candidates (-47.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 100

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
18.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt z))
17.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	490	862
1	2361	738
2	5001	726

prune205.0ms

Filtered

72 candidates to 112 candidates (-55.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* z 2.0)))
0.1b	(sqrt (sqrt (* z 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (sqrt (* z 2.0)))
3.0ms	(sqrt (sqrt (* z 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
14.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (sqrt (* z 2.0)))
20.0ms	(sqrt (sqrt (* z 2.0)))
31.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
15.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	382	722
1	1441	629
2	5001	591

prune176.0ms

Filtered

65 candidates to 95 candidates (-46.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

regimes918.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 23.520795%

Guaranteed chance to sample good point: 65.377249%

Results

1.1s	17887×	body	80	valid
573.0ms	9317×	body	80	nan

Details

sample472.0ms

simplify75.0ms

prune6.0ms

localize12.0ms

rewrite30.0ms

series71.0ms

simplify48.0ms

prune178.0ms

localize13.0ms

rewrite42.0ms

series82.0ms

simplify64.0ms

prune164.0ms

localize15.0ms

rewrite42.0ms

series52.0ms

simplify61.0ms

prune205.0ms

localize14.0ms

rewrite32.0ms

series87.0ms

simplify41.0ms

prune176.0ms

regimes918.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling