Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	22	3
2	33	3
3	36	3
4	42	3
5	46	3
6	54	3
7	282	3
8	2072	3
9	5002	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 14.5b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (* x (+ y z)) z)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

6.0ms

(/ (* x (+ y z)) z)

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ (* x (+ y z)) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	160	122
1	786	101
2	3800	101
3	5002	101

prune48.0ms

Filtered

26 candidates to 19 candidates (26.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	20	6	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	6	27

Merged error: 0.0b

Counts

27 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.1b	(/ x (/ z (+ y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

5.0ms	(/ z (+ y z))
8.0ms	(/ x (/ z (+ y z)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ z (+ y z))
9.0ms	(/ x (/ z (+ y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5001	832

prune115.0ms

Filtered

129 candidates to 91 candidates (29.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Merged error: 0b

Counts

135 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* z (/ 1 (+ y z)))
3.1b	(/ x (* z (/ 1 (+ y z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`associate-r`
17×	`times-frac`
16×	`add-cbrt-cube`
13×	`add-cube-cbrt`
9×	`div-exp`
8×	`prod-exp`
5×	`cbrt-undiv`
4×	`pow1` `associate-/r/` `cbrt-unprod`
3×	`associate-l` `distribute-lft-out` `associate-/l*` `unswap-sqr`
2×	`rec-exp` `1-exp` `associate-*r/` `un-div-inv` `div-inv` `add-log-exp`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip-+`

Counts

2 → 68

Calls

2 calls:

10.0ms	(* z (/ 1 (+ y z)))
8.0ms	(/ x (* z (/ 1 (+ y z))))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* z (/ 1 (+ y z)))
9.0ms	(/ x (* z (/ 1 (+ y z))))

simplify39.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	317	356
1	1458	288
2	5001	260

prune68.0ms

Filtered

74 candidates to 44 candidates (40.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Merged error: 0b

Counts

80 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.2b	(/ 1 (/ (/ z (+ y z)) x))
3.0b	(/ (/ z (+ y z)) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

648×	`times-frac`
398×	`*-un-lft-identity`
294×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`associate-/r*`
52×	`distribute-lft-out`
35×	`associate-/r/`
31×	`add-exp-log`
24×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 383

Calls

3 calls:

5.0ms	(/ z (+ y z))
17.0ms	(/ 1 (/ (/ z (+ y z)) x))
8.0ms	(/ (/ z (+ y z)) x)

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ z (+ y z))
8.0ms	(/ 1 (/ (/ z (+ y z)) x))
10.0ms	(/ (/ z (+ y z)) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1206	3744
1	5001	3334

prune265.0ms

Filtered

392 candidates to 237 candidates (39.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	392	6	398

Merged error: 0b

Counts

398 → 6

regimes190.0ms

Accuracy

15.6% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 3.0b

bsearch38.0ms

Steps

Iters	Range		Point
10	8.866850271806901e+80	1.0214081239045223e+93	1.8465527700659985e+89
8	2.896966041710024e-258	2.8214703948225365e-255	3.103957478426698e-257

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	7
1	26	7

end0.0ms

sample576.0ms

Algorithm

intervals

Results

242.0ms

9625×

body

valid

Details

sample22.0ms

simplify48.0ms

prune3.0ms

localize5.0ms

rewrite7.0ms

series9.0ms

simplify81.0ms

prune48.0ms

localize5.0ms

rewrite18.0ms

series14.0ms

simplify53.0ms

prune115.0ms

localize6.0ms

rewrite20.0ms

series14.0ms

simplify39.0ms

prune68.0ms

localize6.0ms

rewrite53.0ms

series28.0ms

simplify64.0ms

prune265.0ms

regimes190.0ms

bsearch38.0ms

simplify1.0ms

end0.0ms

sample576.0ms

Profiling