Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

301×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	5001	3

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: 14.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
13.9b	(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(/ (* x (+ y z)) z)

series72.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ y z))
41.0ms	(/ (* x (+ y z)) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	226	206
1	1099	177
2	5001	177

prune111.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
2.8b	(/ x (/ z (+ y z)))

rewrite22.0ms

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:

6.0ms	(/ z (+ y z))
10.0ms	(/ x (/ z (+ y z)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ z (+ y z))
60.0ms	(/ x (/ z (+ y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5002	832

prune478.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	5	2	7
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Merged error: 0b

Counts

137 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.2b	(/ 1 (/ (/ z (+ y z)) x))
2.8b	(/ (/ z (+ y z)) x)

rewrite65.0ms

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

series167.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ z (+ y z))
49.0ms	(/ 1 (/ (/ z (+ y z)) x))
71.0ms	(/ (/ z (+ y z)) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1206	3746
1	5001	3336

prune659.0ms

Filtered

392 candidates to 239 candidates (61.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0b

Counts

398 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

11.6b

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r`
3×	`pow1`
2×	`frac-times` `flip3-+` `associate-*r/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

15.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	315	204
1	1176	183
2	5001	179

prune69.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	42	6	48

Merged error: 0b

Counts

48 → 6

regimes89.0ms

Accuracy

5.3% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.2b

bsearch72.0ms

Steps

Iters	Range		Point
9	1.0501261716135352e-227	1.8943424298897123e-221	2.0059309513327617e-227
9	-8.55364515344917e-160	-1.1215347561153961e-167	-2.15145309439867e-167

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	6
1	19	6

end0.0ms

sample427.0ms

Algorithm

intervals

Results

221.0ms

9620×

body

valid