Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.185669%

Guaranteed chance to sample good point: 63.158918%

Results

9.0ms	256×	body	80	valid
2.0ms	55×	body	80	invalid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1618	4
11	2991	4
12	4757	4
13	5001	4

prune7.0ms

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: 1.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.8b	(* (/ x y) (- z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
12.0ms	(* (/ x y) (- z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune105.0ms

Filtered

43 candidates to 63 candidates (-46.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	11	64

Merged error: 0.0b

Counts

64 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* (/ x y) (- z t)))
6.8b	(* (/ x y) (- z t))
6.8b	(* (/ x y) (- z t))
6.8b	(* (/ x y) (- z t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-l`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-r`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 140

Calls

4 calls:

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

series66.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	342	815
1	1257	722
2	5002	719

prune180.0ms

Filtered

109 candidates to 152 candidates (-39.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	152	11	163

Merged error: 0b

Counts

163 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* (/ x y) (- z t)))
6.3b	(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
6.8b	(* (/ x y) (- z t))
6.8b	(* (/ x y) (- z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

166×	`cbrt-div`
88×	`frac-times`
60×	`flip3--` `flip--`
44×	`associate-*r/`
35×	`associate-*l/`
34×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
8×	`pow1`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 160

Calls

4 calls:

6.0ms	(cbrt (* (/ x y) (- z t)))
21.0ms	(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
9.0ms	(* (/ x y) (- z t))
9.0ms	(* (/ x y) (- z t))

series89.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (* (/ x y) (- z t)))
31.0ms	(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
12.0ms	(* (/ x y) (- z t))
17.0ms	(* (/ x y) (- z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	764	2090
1	2231	2002
2	5001	1948

prune204.0ms

Filtered

109 candidates to 172 candidates (-57.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	172	11	183

Merged error: 0b

Counts

183 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
10.7b	(cbrt (/ x y))
10.7b	(cbrt (/ x y))
10.7b	(cbrt (/ x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`sub-neg` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 119

Calls

4 calls:

17.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series52.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
12.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))
15.0ms	(cbrt (/ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	490	1215
1	1604	1027
2	5001	902

prune120.0ms

Filtered

90 candidates to 131 candidates (-45.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	4	7
Picked	0	1	1
Done	0	3	3
Total	132	10	142

Merged error: 0b

Counts

142 → 10

regimes603.0ms

Accuracy

26.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch78.0ms

Steps

Iters	Range		Point
9	1.9022084100068325e-85	2.5373505633542516e-79	1.2846808360778829e-79
10	-8.079193054132757e+73	-6.230426006424095e+59	-6.874116359405528e+59

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	20
1	38	20

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.185669%

Guaranteed chance to sample good point: 63.158918%

Results

286.0ms	8000×	body	80	valid
86.0ms	2476×	body	80	invalid

Details

sample1.1s

simplify144.0ms

prune7.0ms

localize7.0ms

rewrite18.0ms

series22.0ms

simplify34.0ms

prune105.0ms

localize11.0ms

rewrite40.0ms

series66.0ms

simplify41.0ms

prune180.0ms

localize20.0ms

rewrite54.0ms

series89.0ms

simplify65.0ms

prune204.0ms

localize11.0ms

rewrite28.0ms

series52.0ms

simplify52.0ms

prune120.0ms

regimes603.0ms

bsearch78.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling