Details

sample750.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 53.146362%

Guaranteed chance to sample good point: 81.534554%

Results

18.0ms	256×	body	80	valid
5.0ms	75×	body	80	invalid
1.0ms	16×	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: 5.3b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite37.0ms

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:

7.0ms	(* (- x 0.5) (log x))
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
6.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series114.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (- x 0.5) (log x))
34.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
37.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

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

prune219.0ms

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: 4.5b

Counts

111 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite17.0ms

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)
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
24.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (84.0ms)

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

prune152.0ms

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: 4.5b

Counts

85 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (log (sqrt x)) (- x 0.5)) x)
0.2b	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
0.2b	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-+l+`
12×	`log-prod`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`associate--l+`
7×	`sum-log`
6×	`add-exp-log` `sub-neg` `associate-+r+` `sqrt-prod` `add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`pow1` `associate-*l/` `frac-add`
3×	`flip3-+` `diff-log` `associate-/r` `flip-+` `associate-/l`
2×	`+-commutative` `associate-+r-` `associate-/l/`
1×	`cbrt-undiv` `associate-+l-` `frac-2neg` `div-exp` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 96

Calls

4 calls:

6.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
15.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
16.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series58.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
13.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
12.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	827	1434
1	3355	1286
2	5001	1258

prune230.0ms

Filtered

88 candidates to 108 candidates (-22.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	108	11	119

Merged error: 4.5b

Counts

119 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)
4.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

16.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series216.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
28.0ms	(cbrt x)
43.0ms	(cbrt x)
26.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	652	1117
1	2321	989
2	5003	952

prune206.0ms

Filtered

101 candidates to 115 candidates (-13.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	115	11	126

Merged error: 4.5b

Counts

126 → 11

regimes485.0ms

Accuracy

0% (1.1b remaining)

Error of 5.9b against oracle of 4.9b and baseline of 5.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 53.146362%

Guaranteed chance to sample good point: 81.534554%

Results

565.0ms	8000×	body	80	valid
155.0ms	2170×	body	80	invalid
43.0ms	649×	body	80	nan

Details

sample750.0ms

simplify52.0ms

prune4.0ms

localize16.0ms

rewrite37.0ms

series114.0ms

simplify50.0ms

prune219.0ms

localize27.0ms

rewrite17.0ms

series88.0ms

simplify91.0ms

prune152.0ms

localize20.0ms

rewrite51.0ms

series58.0ms

simplify83.0ms

prune230.0ms

localize22.0ms

rewrite36.0ms

series216.0ms

simplify67.0ms

prune206.0ms

regimes485.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling