Details

sample20.0ms

Algorithm

intervals

Results

12.0ms

282×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	29	5
2	45	5
3	56	5
4	74	5
5	86	5
6	120	5
7	136	5
8	146	5
9	150	5
10	160	5
11	446	5
12	2695	5
13	5001	5

prune2.0ms

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: 10.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
10.2b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
61×	`times-frac`
53×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
24×	`associate-r`
21×	`distribute-lft-out`
18×	`associate-l`
13×	`fma-def` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`*-commutative` `unswap-sqr`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-r/` `associate-/r` `flip-+`
3×	`+-commutative` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `sum-log`

Counts

3 → 143

Calls

3 calls:

8.0ms	(+ (/ x y) 1.0)
10.0ms	(* x (+ (/ x y) 1.0))
16.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series91.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
28.0ms	(* x (+ (/ x y) 1.0))
51.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	438	1006
1	2110	951
2	5001	951

prune217.0ms

Filtered

152 candidates to 103 candidates (67.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	146	6	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	6	153

Merged error: 0b

Counts

153 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (* x 1) (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

535×	`times-frac`
490×	`*-un-lft-identity`
286×	`add-sqr-sqrt`
217×	`add-cube-cbrt`
125×	`distribute-lft-out`
69×	`associate-r` `associate-l`
46×	`unswap-sqr`
43×	`associate-/r/`
30×	`associate-/r*`
23×	`*-commutative`
22×	`add-exp-log`
21×	`associate-/l*`
18×	`flip3-+` `flip-+`
17×	`add-cbrt-cube` `div-inv`
13×	`fma-def`
10×	`div-exp`
7×	`cbrt-undiv`
5×	`add-log-exp`
4×	`prod-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u`
2×	`1-exp` `cbrt-unprod`
1×	`+-commutative` `sum-log`

Counts

3 → 425

Calls

3 calls:

8.0ms	(+ (/ x y) 1.0)
28.0ms	(/ (* x 1) (/ (+ x 1.0) (+ (/ x y) 1.0)))
12.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series142.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
53.0ms	(/ (* x 1) (/ (+ x 1.0) (+ (/ x y) 1.0)))
77.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1231	4657
1	5002	4336

prune389.0ms

Filtered

434 candidates to 165 candidates (38.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	432	2	434
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	434	6	440

Merged error: 0b

Counts

440 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.0b	(/ (+ x 1.0) x)
0.2b	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
145×	`times-frac`
78×	`add-sqr-sqrt` `add-cube-cbrt`
38×	`distribute-lft-out`
22×	`associate-/r*`
13×	`fma-def`
12×	`associate-/r/` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u`
1×	`+-commutative` `sum-log`

Counts

3 → 176

Calls

3 calls:

8.0ms	(+ (/ x y) 1.0)
6.0ms	(/ (+ x 1.0) x)
16.0ms	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

series118.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (/ x y) 1.0)
50.0ms	(/ (+ x 1.0) x)
56.0ms	(/ (+ (/ x y) 1.0) (/ (+ x 1.0) x))

simplify97.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	507	1397
1	2135	1336
2	5002	1334

prune250.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	185	6	191

Merged error: 0b

Counts

191 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))
0.3b	(cbrt (+ (/ x y) 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 106

Calls

4 calls:

18.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
14.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(cbrt (+ (/ x y) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))
292.0ms	(cbrt (+ (/ x y) 1.0))
277.0ms	(cbrt (+ (/ x y) 1.0))
268.0ms	(cbrt (+ (/ x y) 1.0))

simplify113.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	222	949
1	702	881
2	2906	784
3	5001	771

prune240.0ms

Filtered

118 candidates to 83 candidates (70.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	118	6	124

Merged error: 0b

Counts

124 → 6

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	19	6
2	19	6

end0.0ms

sample375.0ms

Algorithm

intervals

Results

239.0ms

9088×

body

valid