Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

380×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize9.0ms

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:

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* z t))
56.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify81.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (23.0ms)

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

prune79.0ms

Filtered

30 candidates to 24 candidates (80.0%)

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: 0b

Counts

31 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
14.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series935.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (+ (* x y) (* z t)) (* a b))
412.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
413.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify50.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	1147
1	1331	1043
2	5002	1013

prune236.0ms

Filtered

112 candidates to 65 candidates (58.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.1b	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))))
0.3b	(* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
35×	`flip3-+` `flip-+`
32×	`frac-times`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
16×	`associate-*r/`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r` `associate-*l/`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 197

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
6.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
33.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))))
18.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

series745.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
121.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
56.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))))
446.0ms	(* (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))

simplify102.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	591	2977
1	2302	2583
2	5002	2528

prune446.0ms

Filtered

209 candidates to 102 candidates (48.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	209	3	212

Merged error: 0b

Counts

212 → 3

regimes235.0ms

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

sample750.0ms

Algorithm

intervals

Results

363.0ms

11893×

body

valid