Details

sample20.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.079224%

Guaranteed chance to sample good point: 53.087314%

Results

13.0ms	256×	body	80	valid
3.0ms	68×	body	80	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	47	8
2	96	8
3	165	8
4	241	8
5	390	8
6	1193	8
7	5002	8

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: 9.6b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

9.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
6.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* z 2.0) (- 1.0 t))
14.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	415	543
1	1753	476
2	5001	473

prune94.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b	(+ (/ 2.0 z) 2.0)
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

16.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
6.0ms	(+ (/ 2.0 z) 2.0)
12.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
3.0ms	(+ (/ 2.0 z) 2.0)
7.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	499	587
1	2115	523
2	5001	506

prune108.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
0.0b	(+ (/ 2.0 z) 2.0)
0.1b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

19.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
7.0ms	(+ (/ 2.0 z) 2.0)
9.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))
5.0ms	(+ (/ 2.0 z) 2.0)
5.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify92.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	329	497
1	978	468
2	3769	460
3	5001	455

prune82.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))) (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))))
0.6b	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
0.6b	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
0.6b	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
52×	`cbrt-div`
51×	`cbrt-prod`
26×	`frac-add`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
16×	`frac-times`
15×	`add-cube-cbrt`
14×	`swap-sqr`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1` `distribute-lft-out--`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 127

Calls

4 calls:

46.0ms	(* (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))) (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))))
19.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
19.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
21.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))) (cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0))))
70.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
71.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))
73.0ms	(cbrt (+ (/ x y) (- (/ (+ (/ 2.0 z) 2.0) t) 2.0)))

simplify113.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	395	2927
1	1176	2811
2	4381	2579
3	5001	2556

prune363.0ms

Filtered

90 candidates to 139 candidates (-54.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	139	4	143

Merged error: 0b

Counts

143 → 4

regimes408.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample23.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.079224%

Guaranteed chance to sample good point: 53.087314%

Results

436.0ms	8000×	body	80	valid
121.0ms	2085×	body	80	invalid

Details

sample20.3s

simplify54.0ms

prune4.0ms

localize11.0ms

rewrite28.0ms

series28.0ms

simplify48.0ms

prune94.0ms

localize10.0ms

rewrite37.0ms

series23.0ms

simplify50.0ms

prune108.0ms

localize9.0ms

rewrite37.0ms

series23.0ms

simplify92.0ms

prune82.0ms

localize14.0ms

rewrite111.0ms

series393.0ms

simplify113.0ms

prune363.0ms

regimes408.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample23.0s

Profiling