Details

analyze1.5s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 75.439453%

sample22.0ms

Algorithm

intervals

Results

11.0ms

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: 12.3b

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))))
1.1b	(- (* (* z 2.0) z) (* y t))
20.5b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite27.0ms

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:

12.0ms	(- 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)))

series59.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
9.0ms	(- (* (* z 2.0) z) (* y t))
25.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (10.0ms)

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

prune111.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 4.7b

Counts

61 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.1b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

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)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series70.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms	(- (* (* z 2.0) z) (* y t))
27.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (55.0ms)

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

prune166.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Merged error: 1.5b

Counts

122 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.8b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.7b	(/ (* t y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

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)

series45.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
21.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms	(/ (* t y) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	312	463
1	1403	412
2	5001	412

prune102.0ms

Filtered

46 candidates to 67 candidates (-45.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	67	9	76

Merged error: 0.3b

Counts

76 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
3.0b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.8b	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--` `associate-/l`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
25.0ms	(cbrt z)
10.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
27.0ms	(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	589	1082
1	2937	937
2	5002	881

prune104.0ms

Filtered

83 candidates to 116 candidates (-39.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	116	9	125

Merged error: 0.3b

Counts

125 → 9

regimes301.0ms

Accuracy

0% (0.9b remaining)

Error of 1.5b against oracle of 0.5b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

analyze1.5s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 75.439453%

sample574.0ms

Algorithm

intervals

Results

375.0ms

8000×

body

valid

Details

analyze1.5s

sample22.0ms

simplify34.0ms

prune4.0ms

localize11.0ms

rewrite27.0ms

series59.0ms

simplify49.0ms

prune111.0ms

localize11.0ms

rewrite33.0ms

series70.0ms

simplify68.0ms

prune166.0ms

localize13.0ms

rewrite22.0ms

series45.0ms

simplify38.0ms

prune102.0ms

localize15.0ms

rewrite26.0ms

series83.0ms

simplify66.0ms

prune104.0ms

regimes301.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.5s

sample574.0ms

Profiling