Details

analyze890.0ms

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4864	11
1	4864	11

prune18.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
10.4b	(* (- y z) (/ t (- a z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 94

Calls

3 calls:

5.0ms	(/ t (- a z))
3.0ms	(+ x (* (- y z) (/ t (- a z))))
13.0ms	(* (- y z) (/ t (- a z)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ t (- a z))
28.0ms	(+ x (* (- y z) (/ t (- a z))))
15.0ms	(* (- y z) (/ t (- a z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5447	1059

prune157.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(* (cbrt (- a z)) (cbrt (- a z)))
2.6b	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
20×	`add-exp-log`
16×	`pow1` `cbrt-div`
15×	`add-cube-cbrt`
13×	`associate-l`
11×	`add-cbrt-cube`
10×	`flip3--` `swap-sqr` `flip--`
9×	`associate-r` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
8×	`pow1/3`
7×	`difference-of-squares`
6×	`frac-times` `associate-*r/`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 115

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
11.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
19.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
26.0ms	(cbrt (- a z))
32.0ms	(* (cbrt (- a z)) (cbrt (- a z)))
80.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

simplify53.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5078	1533

prune179.0ms

Filtered

88 candidates to 127 candidates (-44.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
3.0b	(* (/ t (- a z)) (cbrt (- y z)))
7.6b	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
59×	`flip3--` `flip--`
39×	`add-sqr-sqrt`
37×	`associate-*r/`
30×	`add-exp-log` `associate-*l/`
29×	`*-un-lft-identity`
22×	`associate-l`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod` `add-cube-cbrt` `times-frac`
15×	`prod-exp` `cbrt-unprod`
9×	`associate-r` `pow-prod-down`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 160

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
13.0ms	(* (/ t (- a z)) (cbrt (- y z)))
22.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

series112.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
41.0ms	(* (/ t (- a z)) (cbrt (- y z)))
19.0ms	(* (* (cbrt (- y z)) (cbrt (- y z))) (* (/ t (- a z)) (cbrt (- y z))))

simplify62.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	3280
1	4943	3280

prune194.0ms

Filtered

108 candidates to 172 candidates (-59.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	172	8	180

Merged error: 0.0b

Counts

180 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
14.3b	(cbrt (/ t (- a z)))
14.3b	(cbrt (/ t (- a z)))
14.3b	(cbrt (/ t (- a z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
53×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
45×	`times-frac`
32×	`add-cube-cbrt`
15×	`cbrt-div`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log` `frac-times`
7×	`flip3--` `add-cbrt-cube` `flip--`
6×	`associate-*r/` `associate-/r/`
5×	`associate-l` `associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

18.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
5.0ms	(cbrt (/ t (- a z)))
5.0ms	(cbrt (/ t (- a z)))
7.0ms	(cbrt (/ t (- a z)))

series182.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (- y z) (* (cbrt (/ t (- a z))) (cbrt (/ t (- a z)))))
34.0ms	(cbrt (/ t (- a z)))
37.0ms	(cbrt (/ t (- a z)))
34.0ms	(cbrt (/ t (- a z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4922	1894
1	4922	1894

prune158.0ms

Filtered

110 candidates to 134 candidates (-21.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	134	8	142

Merged error: 0.0b

Counts

142 → 8

regimes437.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	29
1	77	29

end0.0ms

sample633.0ms

Algorithm

intervals

Results

308.0ms	7998×	body	80	valid
30.0ms	756×	body	80	invalid
0.0ms	2×	body	160	valid

Details

analyze890.0ms

sample24.0ms

simplify189.0ms

prune18.0ms

localize8.0ms

rewrite25.0ms

series49.0ms

simplify42.0ms

prune157.0ms

localize16.0ms

rewrite40.0ms

series164.0ms

simplify53.0ms

prune179.0ms

localize12.0ms

rewrite51.0ms

series112.0ms

simplify62.0ms

prune194.0ms

localize12.0ms

rewrite40.0ms

series182.0ms

simplify61.0ms

prune158.0ms

regimes437.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample633.0ms

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