Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.224121%

Guaranteed chance to sample good point: 63.711105%

Results

8.0ms	256×	body	80	valid
3.0ms	82×	body	80	invalid

simplify102.0ms

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: 1.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
4.4b	(* (- y x) (/ z t))

rewrite16.0ms

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ x (* (- y x) (/ z t)))
11.0ms	(* (- y x) (/ z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

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

prune83.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
2.3b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
2.4b	(* (cbrt (- y x)) (/ z t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- y x))
26.0ms	(cbrt (- y x))
12.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
45.0ms	(* (cbrt (- y x)) (/ z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	810	2067
1	2681	1872
2	5001	1807

prune152.0ms

Filtered

96 candidates to 164 candidates (-70.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	164	8	172

Merged error: 0.0b

Counts

172 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(* (cbrt t) (cbrt t))
4.2b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
33×	`cbrt-prod`
31×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
27×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
13×	`pow1`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
5.0ms	(* (cbrt t) (cbrt t))
19.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
24.0ms	(cbrt t)
25.0ms	(* (cbrt t) (cbrt t))
17.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	551	1002
1	2754	881
2	5002	809

prune119.0ms

Filtered

90 candidates to 135 candidates (-50.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	135	8	143

Merged error: 0.0b

Counts

143 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
8.8b	(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

6.0ms	(* (- y x) z)
5.0ms	(+ x (/ (* (- y x) z) t))
7.0ms	(/ (* (- y x) z) t)

series30.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- y x) z)
13.0ms	(+ x (/ (* (- y x) z) t))
11.0ms	(/ (* (- y x) z) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune52.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	2	2	4
Picked	0	1	1
Done	2	1	3
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

regimes390.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 17.224121%

Guaranteed chance to sample good point: 63.711105%

Results

259.0ms	8000×	body	80	valid
84.0ms	2495×	body	80	invalid

Details

sample1.2s

simplify102.0ms

prune4.0ms

localize6.0ms

rewrite16.0ms

series22.0ms

simplify39.0ms

prune83.0ms

localize13.0ms

rewrite43.0ms

series108.0ms

simplify83.0ms

prune152.0ms

localize10.0ms

rewrite31.0ms

series88.0ms

simplify81.0ms

prune119.0ms

localize7.0ms

rewrite19.0ms

series30.0ms

simplify36.0ms

prune52.0ms

regimes390.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling