Details

analyze654.0ms

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

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	89×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
10.0ms	(* (- y z) (- t x))

simplify23.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5611	573

prune67.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

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

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:

7.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
9.0ms	(* (- y z) (neg x))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) t)

series40.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms	(* (- y z) (neg x))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
6.0ms	(* (- y z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5455	936

prune92.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Merged error: 0b

Counts

100 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite21.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4886	1006
1	4886	1006

prune95.0ms

Filtered

71 candidates to 113 candidates (-59.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (* (- t x) (+ y z))) (+ y z)))
0.0b	(* (- t x) (+ y z))
0.2b	(* (- y z) (* (- t x) (+ y z)))
21.3b	(/ (* (- y z) (* (- t x) (+ y z))) (+ y z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times`
39×	`flip3--` `flip--`
30×	`associate-*r/`
26×	`associate-/l/`
23×	`flip3-+` `flip-+`
21×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*l/`
15×	`add-sqr-sqrt`
11×	`pow1`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`times-frac` `pow-prod-down` `associate-/r*` `distribute-lft-out`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

7.0ms	(+ x (/ (* (- y z) (* (- t x) (+ y z))) (+ y z)))
8.0ms	(* (- t x) (+ y z))
13.0ms	(* (- y z) (* (- t x) (+ y z)))
19.0ms	(/ (* (- y z) (* (- t x) (+ y z))) (+ y z))

series51.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ x (/ (* (- y z) (* (- t x) (+ y z))) (+ y z)))
9.0ms	(* (- t x) (+ y z))
14.0ms	(* (- y z) (* (- t x) (+ y z)))
9.0ms	(/ (* (- y z) (* (- t x) (+ y z))) (+ y z))

simplify46.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5134	2423

prune162.0ms

Filtered

125 candidates to 158 candidates (-26.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	159	3	162

Merged error: 0b

Counts

162 → 3

regimes253.0ms

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	20	14
1	20	14

end0.0ms

analyze646.0ms

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

sample524.0ms

Algorithm

intervals

Results

213.0ms	8000×	body	80	valid
70.0ms	2563×	body	80	invalid

Details

analyze654.0ms

sample20.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite16.0ms

series24.0ms

simplify23.0ms

prune67.0ms

localize8.0ms

rewrite31.0ms

series40.0ms

simplify56.0ms

prune92.0ms

localize10.0ms

rewrite21.0ms

series107.0ms

simplify77.0ms

prune95.0ms

localize10.0ms

rewrite53.0ms

series51.0ms

simplify46.0ms

prune162.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze646.0ms

sample524.0ms

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