Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	117×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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))

series28.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5054	369

prune46.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

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: 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)))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.8b	(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:

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))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
53.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
54.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4953	2009
1	4953	2009

prune113.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
3.9b	(* a (* a (* b b)))
9.3b	(* a (* b b))
26.4b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
7.0ms	(* a (* a (* b b)))
5.0ms	(* a (* b b))
16.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
6.0ms	(* a (* a (* b b)))
6.0ms	(* a (* b b))
85.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5536	2259

prune85.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (+ (* z t) (* a b)))
0.0b	(+ (* z t) (* a b))
0.3b	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
36.9b	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

5.0ms	(+ (* x y) (+ (* z t) (* a b)))
3.0ms	(+ (* z t) (* a b))
6.0ms	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
6.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

series1.9s

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* x y) (+ (* z t) (* a b)))
9.0ms	(+ (* z t) (* a b))
1.8s	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
21.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4975	1292
1	4975	1292

prune83.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes809.0ms

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	11
1	16	11

end0.0ms

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample806.0ms

Algorithm

intervals

Results

304.0ms	8000×	body	80	valid
141.0ms	3908×	body	80	invalid

Details

analyze1.1s

sample30.0ms

simplify3.0ms

prune11.0ms

localize8.0ms

rewrite9.0ms

series28.0ms

simplify31.0ms

prune46.0ms

localize13.0ms

rewrite30.0ms

series255.0ms

simplify52.0ms

prune113.0ms

localize19.0ms

rewrite40.0ms

series255.0ms

simplify44.0ms

prune85.0ms

localize12.0ms

rewrite23.0ms

series1.9s

simplify49.0ms

prune83.0ms

regimes809.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample806.0ms

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