Details

analyze1.4s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.805757%

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	63×	body	80	invalid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

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: 3.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.4b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series23.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ x (* (- y x) (/ z t)))
12.0ms	(* (- y x) (/ z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune97.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	11	56

Merged error: 0.0b

Counts

56 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.4b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt z)
22.0ms	(cbrt z)
22.0ms	(cbrt z)
48.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	399	665
1	1637	533
2	5001	479

prune104.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
1.7b	(* (cbrt (- y x)) (/ z t))
3.9b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
88×	`frac-times`
63×	`flip3--` `flip--`
52×	`add-sqr-sqrt`
42×	`associate-*l/`
40×	`cbrt-prod` `*-un-lft-identity`
32×	`add-exp-log`
29×	`associate-*r/`
25×	`pow1`
22×	`add-cube-cbrt` `associate-r`
18×	`add-cbrt-cube`
17×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
11×	`times-frac` `pow-prod-down`
10×	`swap-sqr`
8×	`distribute-lft-out--` `unswap-sqr`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 193

Calls

4 calls:

3.0ms	(cbrt (- y x))
10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
10.0ms	(* (cbrt (- y x)) (/ z t))
19.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- y x))
30.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
47.0ms	(* (cbrt (- y x)) (/ z t))
12.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	918	2416
1	3210	2204
2	5002	2110

prune195.0ms

Filtered

118 candidates to 205 candidates (-73.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	204	1	205
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	204	12	216

Merged error: 0.0b

Counts

216 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (- y x) (/ z t))
6.4b	(cbrt (* (- y x) (/ z t)))
6.4b	(cbrt (* (- y x) (/ z t)))
6.4b	(cbrt (* (- y x) (/ z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (- y x) (/ z t))
6.0ms	(cbrt (* (- y x) (/ z t)))
8.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- y x) (/ z t))
38.0ms	(cbrt (* (- y x) (/ z t)))
40.0ms	(cbrt (* (- y x) (/ z t)))
38.0ms	(cbrt (* (- y x) (/ z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	381	689
1	1522	641
2	5002	629

prune111.0ms

Filtered

77 candidates to 92 candidates (-19.5%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	91	13	104

Merged error: 0b

Counts

104 → 13

regimes662.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

analyze1.4s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.805757%

sample592.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
56.0ms	1857×	body	80	invalid

Details

analyze1.4s

sample30.0ms

simplify101.0ms

prune4.0ms

localize6.0ms

rewrite14.0ms

series23.0ms

simplify35.0ms

prune97.0ms

localize15.0ms

rewrite20.0ms

series117.0ms

simplify47.0ms

prune104.0ms

localize12.0ms

rewrite54.0ms

series117.0ms

simplify93.0ms

prune195.0ms

localize10.0ms

rewrite32.0ms

series129.0ms

simplify42.0ms

prune111.0ms

regimes662.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample592.0ms

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