Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 11.793582%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

8.0ms	256×	body	80	valid
1.0ms	45×	body	80	invalid

simplify11.0ms

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

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z y))
7.0b	(* (- (* x y) (* z y)) t)

rewrite15.0ms

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))
10.0ms	(* (- (* x y) (* z y)) t)

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x y) (* z y))
13.0ms	(* (- (* x y) (* z y)) t)

simplify98.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (22.0ms)

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

prune69.0ms

Filtered

31 candidates to 40 candidates (-29.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	33	7	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
7.3b	(* y (* (- x z) t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

6.0ms	(* (- x z) t)
7.0ms	(* y (* (- x z) t))

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (- x z) t)
11.0ms	(* y (* (- x z) t))

simplify107.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	193
1	784	160
2	4688	160
3	5001	160

prune83.0ms

Filtered

33 candidates to 48 candidates (-45.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	43	13	56

Merged error: 0.0b

Counts

56 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* y (* (- x z) t)))
7.3b	(* y (* (- x z) t))
7.3b	(* y (* (- x z) t))
7.3b	(* y (* (- x z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r/` `associate-l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-r` `*-commutative`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 71

Calls

4 calls:

6.0ms	(cbrt (* y (* (- x z) t)))
7.0ms	(* y (* (- x z) t))
7.0ms	(* y (* (- x z) t))
7.0ms	(* y (* (- x z) t))

series64.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (* y (* (- x z) t)))
10.0ms	(* y (* (- x z) t))
12.0ms	(* y (* (- x z) t))
11.0ms	(* y (* (- x z) t))

simplify84.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	247	428
1	809	350
2	3803	347
3	5002	342

prune107.0ms

Filtered

55 candidates to 83 candidates (-50.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
9.2b	(cbrt (- (* x y) (* z y)))
9.2b	(cbrt (- (* x y) (* z y)))
9.2b	(cbrt (- (* x y) (* z y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

16.0ms	(* (* (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)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
32.0ms	(cbrt (- (* x y) (* z y)))
32.0ms	(cbrt (- (* x y) (* z y)))
36.0ms	(cbrt (- (* x y) (* z y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	484	1796
1	1417	1569
2	5001	1482

prune106.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	5	4	9
Picked	0	1	1
Done	1	2	3
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

regimes635.0ms

Accuracy

67.9% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 7.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 11.793582%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results

255.0ms	8000×	body	80	valid
46.0ms	1414×	body	80	invalid

Details

sample1.6s

simplify11.0ms

prune8.0ms

localize6.0ms

rewrite15.0ms

series20.0ms

simplify98.0ms

prune69.0ms

localize5.0ms

rewrite14.0ms

series17.0ms

simplify107.0ms

prune83.0ms

localize10.0ms

rewrite29.0ms

series64.0ms

simplify84.0ms

prune107.0ms

localize10.0ms

rewrite30.0ms

series114.0ms

simplify54.0ms

prune106.0ms

regimes635.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.9s

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