Details

sample64.0ms

Algorithm

intervals

Results

21.0ms

424×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune6.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
3.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series141.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms	(+ (* x y) (* z t))
22.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune67.0ms

Filtered

47 candidates to 37 candidates (21.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

14.0ms	(* (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)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
55.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
53.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
55.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify124.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	312	1441
1	1115	1348
2	4895	1239
3	5002	1223

prune122.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
6.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
16.0ms	(* (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
53.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
55.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
103.0ms	(* (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	338	2125
1	1126	2018
2	4405	1863
3	5001	1835

prune140.0ms

Filtered

122 candidates to 90 candidates (26.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize14.0ms

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))))
1.1b	(sqrt (+ (* x y) (* z t)))
1.1b	(sqrt (+ (* x y) (* z t)))

rewrite24.0ms

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))
11.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x y) (* z t))
10.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
19.0ms	(sqrt (+ (* x y) (* z t)))
22.0ms	(sqrt (+ (* x y) (* z t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

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

prune86.0ms

Filtered

110 candidates to 66 candidates (40.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	110	5	115

Merged error: 0b

Counts

115 → 5

regimes1.4s

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	22	7
1	22	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

686.0ms

13657×

body

valid

Details

sample64.0ms

simplify9.0ms

prune6.0ms

localize12.0ms

rewrite18.0ms

series141.0ms

simplify38.0ms

prune67.0ms

localize16.0ms

rewrite32.0ms

series259.0ms

simplify124.0ms

prune122.0ms

localize25.0ms

rewrite38.0ms

series263.0ms

simplify108.0ms

prune140.0ms

localize14.0ms

rewrite24.0ms

series60.0ms

simplify41.0ms

prune86.0ms

regimes1.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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