Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

381×

body

valid

simplify7.0ms

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

prune2.0ms

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

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:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* x y) (* z t))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify81.0ms

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

prune74.0ms

Filtered

30 candidates to 24 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
114.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify113.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1184

prune272.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite32.0ms

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))))

series919.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ (* x y) (* z t)) (* a b))
407.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
407.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	292	1141
1	1294	1043
2	5001	1013

prune225.0ms

Filtered

112 candidates to 65 candidates (58.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize15.0ms

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	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
0.4b	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

6.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
20.0ms	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
12.0ms	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

series497.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
118.0ms	(sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b))))
57.0ms	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
204.0ms	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

simplify84.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	437	2388
1	1895	2114
2	5002	1876

prune366.0ms

Filtered

175 candidates to 88 candidates (50.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	175	6	181

Merged error: 0b

Counts

181 → 6

regimes374.0ms

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

sample830.0ms

Algorithm

intervals

Results

443.0ms

11940×

body

valid

Details

sample30.0ms

simplify7.0ms

prune2.0ms

localize8.0ms

rewrite9.0ms

series87.0ms

simplify81.0ms

prune74.0ms

localize13.0ms

rewrite30.0ms

series537.0ms

simplify113.0ms

prune272.0ms

localize11.0ms

rewrite32.0ms

series919.0ms

simplify54.0ms

prune225.0ms

localize15.0ms

rewrite49.0ms

series497.0ms

simplify84.0ms

prune366.0ms

regimes374.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample830.0ms

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