Details

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 59.527588%

Guaranteed chance to sample good point: 68.194842%

Results

18.0ms	256×	body	80	valid
2.0ms	25×	body	80	invalid
1.0ms	20×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune4.0ms

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: 4.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
9.0ms	(* (- x 0.5) (log x))
7.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series116.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
23.0ms	(* (- x 0.5) (log x))
35.0ms	(- (* (- x 0.5) (log x)) x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	543	875
1	1816	820
2	5001	763

prune226.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	99	11	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	11	111

Merged error: 3.7b

Counts

111 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

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×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)
23.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify110.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	231	498
1	697	460
2	3102	429
3	5001	426

prune160.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Merged error: 3.7b

Counts

85 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x)
0.5b	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

56×	`pow1`
28×	`sqrt-pow1`
27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`pow-prod-down`
20×	`add-cube-cbrt`
16×	`associate-*l/`
12×	`sqrt-div`
10×	`add-exp-log` `pow1/2` `pow-prod-up` `add-cbrt-cube`
9×	`times-frac` `associate-l`
8×	`flip3--` `associate-r` `flip--`
6×	`log-prod` `pow-sqr` `add-log-exp`
4×	`frac-times` `swap-sqr` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r` `associate-/l`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `diff-log` `div-exp` `clear-num` `rem-square-sqrt` `log-pow` `flip-+` `div-inv` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
15.0ms	(- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x)
15.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series117.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (- x 0.5) (log x))
35.0ms	(- (* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x)))) x)
36.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
24.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify101.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	862	1363
1	4003	1226
2	5002	1204

prune306.0ms

Filtered

89 candidates to 140 candidates (-57.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	140	11	151

Merged error: 3.7b

Counts

151 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
0.4b	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
9.0ms	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
20.0ms	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series216.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (- x 0.5) (log x))
29.0ms	(- (sqrt (* (- x 0.5) (log x))) (sqrt x))
139.0ms	(* (+ (sqrt (* (- x 0.5) (log x))) (sqrt x)) (- (sqrt (* (- x 0.5) (log x))) (sqrt x)))
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1621	2019
1	5001	1909

prune370.0ms

Filtered

92 candidates to 119 candidates (-29.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	119	11	130

Merged error: 3.7b

Counts

130 → 11

regimes510.0ms

Accuracy

0% (1.3b remaining)

Error of 6.0b against oracle of 4.7b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample4.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 59.527588%

Guaranteed chance to sample good point: 68.194842%

Results

553.0ms	8000×	body	80	valid
53.0ms	747×	body	80	invalid
42.0ms	685×	body	80	nan

Details

sample3.3s

simplify52.0ms

prune4.0ms

localize17.0ms

rewrite40.0ms

series116.0ms

simplify52.0ms

prune226.0ms

localize24.0ms

rewrite16.0ms

series88.0ms

simplify110.0ms

prune160.0ms

localize20.0ms

rewrite52.0ms

series117.0ms

simplify101.0ms

prune306.0ms

localize23.0ms

rewrite50.0ms

series216.0ms

simplify52.0ms

prune370.0ms

regimes510.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.6s

Profiling