Details

sample40.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	221×	body	80	nan

simplify578.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	19	6
2	21	6
3	21	6

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))

rewrite34.0ms

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))))
7.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
11.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	688

prune163.0ms

Filtered

70 candidates to 100 candidates (-42.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
100×	`times-frac`
99×	`add-sqr-sqrt`
58×	`cbrt-prod`
57×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`associate-/r*` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

4 → 193

Calls

4 calls:

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

series15.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
3.0ms	(/ (- 1.0 x) (+ 1.0 x))
6.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
4.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify75.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	572	1553
1	2472	1443
2	5001	1425

prune220.0ms

Filtered

94 candidates to 205 candidates (-118.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	205	2	207

Merged error: 0b

Counts

207 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
41×	`times-frac`
26×	`add-cube-cbrt` `associate-l`
21×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
9×	`pow1`
7×	`flip3--` `flip--`
5×	`sqrt-div` `associate-r` `associate-/l*`
4×	`frac-times` `associate-r/` `associate-/r` `associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `div-exp` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `div-sub` `clear-num` `sqrt-prod` `*-commutative`

Counts

4 → 124

Calls

4 calls:

8.0ms	(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
1.0ms	(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
10.0ms	(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
15.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
3.0ms	(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
5.0ms	(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
4.0ms	(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify74.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	543	1279
1	2498	1150
2	5002	1027

prune227.0ms

Filtered

106 candidates to 136 candidates (-28.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0b

Counts

138 → 2

regimes47.0ms

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	14	8
1	14	8

end0.0ms

sample893.0ms

Algorithm

intervals

Results

373.0ms	8000×	body	80	valid
265.0ms	7965×	body	80	nan

Details

sample40.0ms

simplify578.0ms

prune4.0ms

localize10.0ms

rewrite34.0ms

series20.0ms

simplify40.0ms

prune163.0ms

localize11.0ms

rewrite39.0ms

series15.0ms

simplify75.0ms

prune220.0ms

localize10.0ms

rewrite39.0ms

series15.0ms

simplify74.0ms

prune227.0ms

regimes47.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample893.0ms

Profiling