Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

12.0ms

256×

body

valid

simplify34.0ms

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: 11.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b	(- (* (* z 2.0) z) (* y t))
19.4b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite23.0ms

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)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

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

prune102.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 4.9b

Counts

61 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
22.4b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.4b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.4b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

14.0ms	(/ (* y 2.0) (* (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)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series141.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
25.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
27.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	444	1044
1	1490	920
2	5001	907

prune212.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 4.9b

Counts

88 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
0.6b	(- (* 2.0 (pow z 2)) (* t y))
7.3b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
16.3b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite28.0ms

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)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 2.0 (pow z 2))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
27.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

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

prune173.0ms

Filtered

77 candidates to 115 candidates (-49.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	115	8	123

Merged error: 4.9b

Counts

123 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(- (* 2.0 (pow z 2)) (* t y))
0.7b	(/ 1 (- (* 2.0 (pow z 2)) (* t y)))
7.3b	(* (* y 2.0) (* z (/ 1 (- (* 2.0 (pow z 2)) (* t y)))))
15.5b	(* z (/ 1 (- (* 2.0 (pow z 2)) (* t y))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
32×	`add-cbrt-cube`
27×	`add-sqr-sqrt` `prod-exp`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
19×	`pow1`
16×	`associate-r`
15×	`cbrt-unprod`
9×	`pow-prod-down`
8×	`div-exp`
6×	`add-log-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `associate-l*` `associate-/r/`
3×	`flip3--` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 115

Calls

4 calls:

4.0ms	(- (* 2.0 (pow z 2)) (* t y))
6.0ms	(/ 1 (- (* 2.0 (pow z 2)) (* t y)))
14.0ms	(* (* y 2.0) (* z (/ 1 (- (* 2.0 (pow z 2)) (* t y)))))
10.0ms	(* z (/ 1 (- (* 2.0 (pow z 2)) (* t y))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* 2.0 (pow z 2)) (* t y))
8.0ms	(/ 1 (- (* 2.0 (pow z 2)) (* t y)))
25.0ms	(* (* y 2.0) (* z (/ 1 (- (* 2.0 (pow z 2)) (* t y)))))
10.0ms	(* z (/ 1 (- (* 2.0 (pow z 2)) (* t y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	416	1075
1	1988	864
2	5002	832

prune137.0ms

Filtered

67 candidates to 127 candidates (-89.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	127	8	135

Merged error: 4.9b

Counts

135 → 8

regimes554.0ms

Accuracy

73.9% (0.5b remaining)

Error of 5.3b against oracle of 4.7b and baseline of 6.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

392.0ms

8000×

body

valid

Details

sample1.5s

simplify34.0ms

prune4.0ms

localize10.0ms

rewrite23.0ms

series62.0ms

simplify50.0ms

prune102.0ms

localize15.0ms

rewrite30.0ms

series141.0ms

simplify45.0ms

prune212.0ms

localize12.0ms

rewrite28.0ms

series48.0ms

simplify66.0ms

prune173.0ms

localize13.0ms

rewrite37.0ms

series51.0ms

simplify58.0ms

prune137.0ms

regimes554.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling