Details

sample345.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 81.239762%

Results

12.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	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: 12.7b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.9b	(- (* (* z 2.0) z) (* y t))
19.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

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

series62.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
26.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune104.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 3.5b

Counts

61 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.9b	(- (* (* z 2.0) z) (* y t))
5.6b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
14.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

10.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series77.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
9.0ms	(- (* (* z 2.0) z) (* y t))
27.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
11.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune174.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Merged error: 2.0b

Counts

120 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.6b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
6.2b	(/ (* t y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

6.0ms	(- (* z 2.0) (/ (* t y) z))
8.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

series57.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* z 2.0) (/ (* t y) z))
20.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
23.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	334	566
1	1494	506
2	5001	506

prune106.0ms

Filtered

55 candidates to 82 candidates (-49.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.5b

Counts

90 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (* t (/ y z)))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
4.2b	(* t (/ y z))
5.6b	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac` `associate-r`
8×	`add-log-exp`
6×	`pow1`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-l` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- (* z 2.0) (* t (/ y z)))
9.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
7.0ms	(* t (/ y z))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* z 2.0) (* t (/ y z)))
20.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
5.0ms	(* t (/ y z))
23.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	395	614
1	1802	554
2	5001	554

prune94.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Merged error: 0.5b

Counts

99 → 7

regimes280.0ms

Accuracy

0% (2.1b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 81.239762%

Results

404.0ms

8000×

body

valid

Details

sample345.0ms

simplify32.0ms

prune4.0ms

localize11.0ms

rewrite26.0ms

series62.0ms

simplify45.0ms

prune104.0ms

localize14.0ms

rewrite34.0ms

series77.0ms

simplify66.0ms

prune174.0ms

localize10.0ms

rewrite28.0ms

series57.0ms

simplify38.0ms

prune106.0ms

localize10.0ms

rewrite27.0ms

series57.0ms

simplify46.0ms

prune94.0ms

regimes280.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling