Details

sample39.0ms

Algorithm

intervals

Results

13.0ms

377×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series30.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (+ (* x y) (* z t)) (* a b))
9.0ms	(+ (* x y) (* z t))

simplify79.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune39.0ms

Filtered

30 candidates to 24 candidates (20.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.3b	(* (* a b) (* a b))
3.4b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
28.1b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow-sqr` `pow-prod-up` `difference-of-squares`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
9.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
18.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
6.0ms	(* (* a b) (* a b))
156.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
83.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	565	1612
1	3148	1411
2	5001	1359

prune105.0ms

Filtered

132 candidates to 82 candidates (37.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0.0b

Counts

135 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (* x y) (* z t))
10.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ (* x y) (* z t))
9.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms	(sqrt (+ (* x y) (* z t)))
20.0ms	(sqrt (+ (* x y) (* z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	243	764
1	1002	706
2	5001	686

prune84.0ms

Filtered

110 candidates to 67 candidates (39.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

regimes726.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

425.0ms

11994×

body

valid

Details

sample39.0ms

simplify5.0ms

prune5.0ms

localize9.0ms

rewrite9.0ms

series30.0ms

simplify79.0ms

prune39.0ms

localize14.0ms

rewrite44.0ms

series259.0ms

simplify111.0ms

prune105.0ms

localize12.0ms

rewrite23.0ms

series61.0ms

simplify42.0ms

prune84.0ms

regimes726.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling