Details

sample832.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 39.941406%

Guaranteed chance to sample good point: 71.676829%

Results

8.0ms	256×	body	80	valid
2.0ms	78×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 7.5b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z y))
7.1b	(* (- (* x y) (* z y)) t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
5.0ms	(* (- (* x y) (* z y)) t)

series25.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (* x y) (* z y))
13.0ms	(* (- (* x y) (* z y)) t)

simplify122.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune124.0ms

Filtered

30 candidates to 40 candidates (-33.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	32	8	40
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	33	9	42

Merged error: 0.0b

Counts

42 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

6.3b	(cbrt (* (- (* x y) (* z y)) t))
7.1b	(* (- (* x y) (* z y)) t)
7.1b	(* (- (* x y) (* z y)) t)
7.1b	(* (- (* x y) (* z y)) t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
8×	`associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 74

Calls

4 calls:

7.0ms	(cbrt (* (- (* x y) (* z y)) t))
10.0ms	(* (- (* x y) (* z y)) t)
10.0ms	(* (- (* x y) (* z y)) t)
12.0ms	(* (- (* x y) (* z y)) t)

series102.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (* (- (* x y) (* z y)) t))
12.0ms	(* (- (* x y) (* z y)) t)
18.0ms	(* (- (* x y) (* z y)) t)
22.0ms	(* (- (* x y) (* z y)) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	294	543
1	1102	472
2	5002	462

prune130.0ms

Filtered

76 candidates to 86 candidates (-13.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

7.1b	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
9.0b	(cbrt (- (* x y) (* z y)))
9.0b	(cbrt (- (* x y) (* z y)))
9.0b	(cbrt (- (* x y) (* z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-out--` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
31.0ms	(cbrt (- (* x y) (* z y)))
31.0ms	(cbrt (- (* x y) (* z y)))
33.0ms	(cbrt (- (* x y) (* z y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	457	1436
1	1444	1260
2	5001	1134

prune151.0ms

Filtered

78 candidates to 101 candidates (-29.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	101	10	111

Merged error: 0.0b

Counts

111 → 10

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b	(* (* t y) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* t y) (- x z))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (* t y) (- x z))

simplify94.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune26.0ms

Filtered

16 candidates to 29 candidates (-81.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	5	7
Picked	0	1	1
Done	1	1	2
Total	30	9	39

Merged error: 0.0b

Counts

39 → 9

regimes740.0ms

Accuracy

74.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 6.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 39.941406%

Guaranteed chance to sample good point: 71.676829%

Results

282.0ms	8000×	body	80	valid
86.0ms	2242×	body	80	invalid

Details

sample832.0ms

simplify10.0ms

prune14.0ms

localize7.0ms

rewrite9.0ms

series25.0ms

simplify122.0ms

prune124.0ms

localize18.0ms

rewrite42.0ms

series102.0ms

simplify36.0ms

prune130.0ms

localize11.0ms

rewrite33.0ms

series108.0ms

simplify48.0ms

prune151.0ms

localize6.0ms

rewrite8.0ms

series10.0ms

simplify94.0ms

prune26.0ms

regimes740.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.6s

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