Details

sample56.0ms

Algorithm

intervals

Results

20.0ms

395×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune5.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b	(/ (* a b) 4.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
13×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `sum-log`
4×	`pow1` `diff-log`
3×	`associate-+l+` `flip3-+` `times-frac` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `+-commutative` `sub-neg` `div-exp` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l-` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
4.0ms	(+ (* x y) (/ (* z t) 16.0))
10.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms	(/ (* a b) 4.0)

series93.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms	(+ (* x y) (/ (* z t) 16.0))
45.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
3.0ms	(/ (* a b) 4.0)

simplify47.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	374	628
1	1499	597
2	5001	590

prune98.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	2	82

Merged error: 0.0b

Counts

82 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`sum-log`
5×	`*-un-lft-identity`
4×	`diff-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sub-neg` `associate-*r/` `associate--l+` `frac-sub`
1×	`associate-+l-` `flip3--` `flip--` `distribute-lft-out`

Counts

3 → 45

Calls

3 calls:

6.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
4.0ms	(+ (* x y) (/ (* z t) 16.0))
11.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)

series79.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
11.0ms	(+ (* x y) (/ (* z t) 16.0))
43.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0))) c)

simplify32.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	284	515
1	1054	494
2	5002	487

prune66.0ms

Filtered

41 candidates to 54 candidates (-31.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0.0b

Counts

56 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
0.0b	(+ (* 0.0625 (* t z)) (* x y))
0.2b	(* 0.25 (* a b))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+`

Counts

3 → 43

Calls

3 calls:

7.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
4.0ms	(+ (* 0.0625 (* t z)) (* x y))
4.0ms	(* 0.25 (* a b))

series42.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
10.0ms	(+ (* 0.0625 (* t z)) (* x y))
3.0ms	(* 0.25 (* a b))

simplify160.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	242	322
1	973	297
2	4869	294
3	5002	294

prune50.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Merged error: 0.0b

Counts

54 → 2

regimes832.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

651.0ms

11974×

body

valid

Details

sample56.0ms

simplify52.0ms

prune5.0ms

localize12.0ms

rewrite28.0ms

series93.0ms

simplify47.0ms

prune98.0ms

localize12.0ms

rewrite22.0ms

series79.0ms

simplify32.0ms

prune66.0ms

localize10.0ms

rewrite17.0ms

series42.0ms

simplify160.0ms

prune50.0ms

regimes832.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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