Details

analyze688.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune3.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.1b	(* (- y z) (- t x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `sub-neg` `add-cbrt-cube` `add-log-exp`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series23.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify35.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5066	573

prune77.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0b

Counts

52 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) (neg x))
0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`+-commutative` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate-+r-` `neg-mul-1` `associate-+r+`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms	(* (- y z) (neg x))
6.0ms	(* (- y z) t)
8.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) (neg x))
6.0ms	(* (- y z) t)
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5213	889

prune103.0ms

Filtered

73 candidates to 96 candidates (-31.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0b

Counts

103 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series107.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
28.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	1021
1	4967	1021

prune112.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	7	120

Merged error: 0b

Counts

120 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (cbrt (pow (* x (- z y)) 3)))
0.3b	(pow (* x (- z y)) 3)
30.2b	(cbrt (pow (* x (- z y)) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cube-div` `cbrt-prod` `add-cube-cbrt` `associate-*r/`
7×	`flip3--` `flip--`
6×	`cbrt-div` `associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`frac-add`
3×	`pow-unpow` `associate-r`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

6.0ms	(* (- y z) t)
9.0ms	(+ (* (- y z) t) (cbrt (pow (* x (- z y)) 3)))
8.0ms	(pow (* x (- z y)) 3)
2.0ms	(cbrt (pow (* x (- z y)) 3))

series45.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- y z) t)
16.0ms	(+ (* (- y z) t) (cbrt (pow (* x (- z y)) 3)))
12.0ms	(pow (* x (- z y)) 3)
10.0ms	(cbrt (pow (* x (- z y)) 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5185	935

prune100.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes396.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	229	13
1	229	13

end0.0ms

sample556.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
72.0ms	2430×	body	80	invalid

Details

analyze688.0ms

sample24.0ms

simplify79.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series23.0ms

simplify35.0ms

prune77.0ms

localize8.0ms

rewrite31.0ms

series42.0ms

simplify41.0ms

prune103.0ms

localize13.0ms

rewrite23.0ms

series107.0ms

simplify62.0ms

prune112.0ms

localize12.0ms

rewrite27.0ms

series45.0ms

simplify36.0ms

prune100.0ms

regimes396.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample556.0ms

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