Details

sample8.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.439453%

Results

12.0ms

256×

body

valid

simplify36.0ms

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: 12.6b

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))))
1.5b	(- (* (* z 2.0) z) (* y t))
17.9b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

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))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
28.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune115.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	10	61

Merged error: 5.2b

Counts

61 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
1.5b	(- (* 2.0 (pow z 2)) (* t y))
4.0b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.9b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`add-exp-log` `associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
9×	`pow1` `prod-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`unpow-prod-down` `associate-l` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `associate-*r/` `pow-exp` `clear-num`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* 2.0 (pow z 2))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* 2.0 (pow z 2))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
25.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	413	827
1	2147	710
2	5001	709

prune189.0ms

Filtered

77 candidates to 115 candidates (-49.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	115	10	125

Merged error: 5.2b

Counts

125 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (* 2.0 (pow z 2)) (* t y))
4.0b	(* (* y 2.0) (/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))))
4.9b	(/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))
13.0b	(/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
59×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
40×	`add-cbrt-cube`
39×	`cbrt-prod`
28×	`associate-/r*`
27×	`associate-r`
21×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
9×	`pow1`
6×	`div-inv` `add-log-exp`
4×	`associate-/l*`
3×	`pow-prod-down`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate-r/` `associate-l` `-commutative`

Counts

4 → 177

Calls

4 calls:

4.0ms	(- (* 2.0 (pow z 2)) (* t y))
18.0ms	(* (* y 2.0) (/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))))
7.0ms	(/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))
12.0ms	(/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 2.0 (pow z 2)) (* t y))
32.0ms	(* (* y 2.0) (/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))))
42.0ms	(/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z))
13.0ms	(/ (* (cbrt z) (cbrt z)) (/ (- (* 2.0 (pow z 2)) (* t y)) (cbrt z)))

simplify118.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	833	2539
1	4488	2190
2	5001	2126

prune349.0ms

Filtered

139 candidates to 189 candidates (-36.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	189	10	199

Merged error: 4.8b

Counts

199 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
23.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`add-exp-log`
30×	`flip3--` `flip--`
28×	`frac-times` `add-cbrt-cube`
26×	`associate-/r/`
18×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 96

Calls

4 calls:

26.0ms	(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
7.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* (* y 2.0) z) (* (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))) (cbrt (- (* (* z 2.0) z) (* y t)))))
28.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	632	2094
1	2750	1621
2	5002	1520

prune224.0ms

Filtered

73 candidates to 108 candidates (-47.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	108	10	118

Merged error: 4.8b

Counts

118 → 10

regimes662.0ms

Accuracy

70.2% (0.7b remaining)

Error of 5.2b against oracle of 4.5b and baseline of 6.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample9.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.439453%

Results

382.0ms

8000×

body

valid

Details

sample8.2s

simplify36.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series61.0ms

simplify46.0ms

prune115.0ms

localize14.0ms

rewrite29.0ms

series49.0ms

simplify69.0ms

prune189.0ms

localize17.0ms

rewrite48.0ms

series95.0ms

simplify118.0ms

prune349.0ms

localize16.0ms

rewrite47.0ms

series101.0ms

simplify78.0ms

prune224.0ms

regimes662.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample9.3s

Profiling