Details

sample239.0ms

Algorithm

intervals

Results

210.0ms	281×	body	80	nan
13.0ms	256×	body	80	valid

simplify487.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	786	11
1	786	11

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

3 → 91

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
17.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify37.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5097	1256

prune164.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
0.0b	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
0.0b	(/ (- 1.0 x) (+ 1.0 x))
0.0b	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
142×	`times-frac`
122×	`cbrt-prod`
80×	`unpow-prod-down` `cube-prod`
79×	`add-cube-cbrt`
61×	`sqrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv`
6×	`pow1`
5×	`associate-/l*`
4×	`associate-/r*` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3`
2×	`cbrt-undiv` `cbrt-div` `sqrt-pow1` `pow1/3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/2` `sqrt-div` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 265

Calls

4 calls:

19.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
11.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
8.0ms	(/ (- 1.0 x) (+ 1.0 x))
10.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

series14.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3)))
3.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
4.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5175	3777

prune293.0ms

Filtered

121 candidates to 277 candidates (-128.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	277	3	280

Merged error: 0b

Counts

280 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b	(cbrt (/ (- 1.0 x) (+ 1.0 x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity`
238×	`cbrt-prod`
190×	`times-frac`
174×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
53×	`distribute-lft-out`
51×	`swap-sqr`
44×	`distribute-lft-out--`
32×	`difference-of-squares`
29×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 244

Calls

4 calls:

31.0ms	(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
6.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))
8.0ms	(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5065	4617

prune617.0ms

Filtered

152 candidates to 256 candidates (-68.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	256	3	259

Merged error: 0b

Counts

259 → 3

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample926.0ms

Algorithm

intervals

Results

386.0ms	8000×	body	80	valid
284.0ms	8061×	body	80	nan

Details

sample239.0ms

simplify487.0ms

prune4.0ms

localize10.0ms

rewrite33.0ms

series19.0ms

simplify37.0ms

prune164.0ms

localize11.0ms

rewrite62.0ms

series14.0ms

simplify72.0ms

prune293.0ms

localize14.0ms

rewrite73.0ms

series28.0ms

simplify75.0ms

prune617.0ms

regimes147.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample926.0ms

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