Details

sample283.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
9.0ms	250×	body	80	nan

simplify12.0ms

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

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize11.0ms

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))

rewrite23.0ms

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))

series149.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
91.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
55.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	354	753
1	1071	709
2	5001	690

prune192.0ms

Filtered

100 candidates to 70 candidates (70.0%)

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	(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)

rewrite43.0ms

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))))
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)

series124.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan (sqrt (cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))))
32.0ms	(cbrt (pow (/ (- 1.0 x) (+ 1.0 x)) 3))
35.0ms	(/ (- 1.0 x) (+ 1.0 x))
55.0ms	(pow (/ (- 1.0 x) (+ 1.0 x)) 3)

simplify76.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	572	1553
1	2472	1443
2	5003	1425

prune275.0ms

Filtered

205 candidates to 94 candidates (45.9%)

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
63×	`cbrt-prod` `add-sqr-sqrt`
33×	`add-cube-cbrt`
32×	`times-frac`
18×	`cbrt-div`
13×	`distribute-lft-out--`
11×	`pow1` `difference-of-squares`
10×	`swap-sqr`
9×	`flip3--` `flip--` `distribute-lft-out`
8×	`add-exp-log` `pow1/3` `associate-r` `associate-l` `associate-/l*`
5×	`add-cbrt-cube`
4×	`frac-times` `associate-/r*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 146

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
11.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
12.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))

series412.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- 1.0 x))
88.0ms	(cbrt (- 1.0 x))
108.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
128.0ms	(/ (cbrt (- 1.0 x)) (+ 1.0 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	498	1268
1	1749	1223
2	5001	1159

prune366.0ms

Filtered

158 candidates to 108 candidates (68.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	2	160

Merged error: 0b

Counts

160 → 2

regimes28.0ms

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	14	8
1	14	8

end0.0ms

sample898.0ms

Algorithm

intervals

Results

402.0ms	8000×	body	80	valid
282.0ms	7921×	body	80	nan