Details

sample48.0ms

Algorithm

intervals

Results

14.0ms

400×

body

valid

simplify6.0ms

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

prune4.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

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:

4.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series28.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify85.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (19.0ms)

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

prune39.0ms

Filtered

24 candidates to 30 candidates (-25.0%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a b) (* a b))
0.3b	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
1.6b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
29.4b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

rewrite43.0ms

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:

6.0ms	(* (* a b) (* a b))
8.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
9.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
17.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* a b) (* a b))
15.0ms	(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
158.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
84.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))) (- (+ (* x y) (* z t)) (* a b)))

simplify110.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (91.0ms)

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

prune135.0ms

Filtered

82 candidates to 132 candidates (-61.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Merged error: 0b

Counts

135 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (- (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (- (+ (* x y) (* z t)) (* a b)))
0.5b	(/ (- (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))
0.5b	(/ (+ (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
30×	`sqrt-prod`
12×	`associate-/r*`
9×	`pow1`
8×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--`
4×	`associate-/r/` `associate-/l/` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `div-inv` `pow-div`
1×	`flip3-+` `div-sub` `flip-+`

Counts

4 → 119

Calls

4 calls:

5.0ms	(sqrt (- (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (- (+ (* x y) (* z t)) (* a b)))
11.0ms	(/ (- (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))
12.0ms	(/ (+ (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))

series977.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(sqrt (- (+ (* x y) (* z t)) (* a b)))
129.0ms	(sqrt (- (+ (* x y) (* z t)) (* a b)))
131.0ms	(/ (- (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))
592.0ms	(/ (+ (+ (* x y) (* z t)) (* a b)) (sqrt (- (+ (* x y) (* z t)) (* a b))))

simplify70.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	494	2214
1	2406	1987
2	5001	1965

prune125.0ms

Filtered

98 candidates to 131 candidates (-33.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	4	135

Merged error: 0b

Counts

135 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
0.8b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.2b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
39.0b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`frac-times` `sub-neg` `associate--l+`
3×	`flip3--` `associate-r` `associate-l` `associate-/r*` `flip--`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
11.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
11.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
23.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series2.5s

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
189.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
2.1s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
194.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify141.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	620	2309
1	3315	2141
2	5001	2136

prune185.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes794.0ms

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

sample1.2s

Algorithm

intervals

Results

443.0ms

11846×

body

valid

Details

sample48.0ms

simplify6.0ms

prune4.0ms

localize8.0ms

rewrite9.0ms

series28.0ms

simplify85.0ms

prune39.0ms

localize13.0ms

rewrite43.0ms

series263.0ms

simplify110.0ms

prune135.0ms

localize15.0ms

rewrite37.0ms

series977.0ms

simplify70.0ms

prune125.0ms

localize20.0ms

rewrite57.0ms

series2.5s

simplify141.0ms

prune185.0ms

regimes794.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling