Details

analyze744.0ms

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

sample21.0ms

Algorithm

intervals

Results

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

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	1581	9
1	1581	9

prune4.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

series24.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5066	573

prune64.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0.0b

Counts

52 → 4

localize9.0ms

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)

rewrite33.0ms

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:

9.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms	(* (- y z) (neg x))
8.0ms	(+ (* (- 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)

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5213	889

prune94.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.0b

Counts

100 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- t x))
0.3b	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
0.7b	(sqrt (* (- y z) (- t x)))
0.7b	(sqrt (* (- y z) (- t x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`sub-neg` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 199

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
21.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
7.0ms	(sqrt (* (- y z) (- t x)))
7.0ms	(sqrt (* (- y z) (- t x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
9.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
740.0ms	(sqrt (* (- y z) (- t x)))
741.0ms	(sqrt (* (- y z) (- t x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5287	4875

prune210.0ms

Filtered

131 candidates to 211 candidates (-61.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	210	5	215

Merged error: 0.0b

Counts

215 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (* (- y z) (- t x)))) 3) (sqrt (sqrt (* (- y z) (- t x)))))
0.3b	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
0.7b	(sqrt (* (- y z) (- t x)))
0.7b	(sqrt (* (- y z) (- t x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

320×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
80×	`cube-div`
50×	`associate-r/` `associate-l/`
38×	`add-sqr-sqrt`
37×	`sqrt-prod`
20×	`associate-l`
18×	`unpow-prod-down` `cube-prod`
16×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
7×	`associate-r` `add-cbrt-cube`
6×	`pow-pow`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 216

Calls

4 calls:

21.0ms	(* (pow (sqrt (sqrt (* (- y z) (- t x)))) 3) (sqrt (sqrt (* (- y z) (- t x)))))
13.0ms	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
8.0ms	(sqrt (* (- y z) (- t x)))
7.0ms	(sqrt (* (- y z) (- t x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (pow (sqrt (sqrt (* (- y z) (- t x)))) 3) (sqrt (sqrt (* (- y z) (- t x)))))
169.0ms	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
742.0ms	(sqrt (* (- y z) (- t x)))
744.0ms	(sqrt (* (- y z) (- t x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4994	6064
1	4994	6064

prune381.0ms

Filtered

173 candidates to 228 candidates (-31.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	228	5	233

Merged error: 0.0b

Counts

233 → 5

regimes365.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample593.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
78.0ms	2522×	body	80	invalid

Details

analyze744.0ms

sample21.0ms

simplify83.0ms

prune4.0ms

localize13.0ms

rewrite14.0ms

series24.0ms

simplify38.0ms

prune64.0ms

localize9.0ms

rewrite33.0ms

series40.0ms

simplify41.0ms

prune94.0ms

localize9.0ms

rewrite60.0ms

series1.5s

simplify56.0ms

prune210.0ms

localize12.0ms

rewrite66.0ms

series1.7s

simplify82.0ms

prune381.0ms

regimes365.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample593.0ms

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