Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

304×

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	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: 12.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.1b	(/ (* x (+ y z)) z)

rewrite13.0ms

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:

5.0ms	(* x (+ y z))
6.0ms	(/ (* x (+ y z)) z)

series56.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
33.0ms	(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune83.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.0b	(/ 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)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ z (+ y z))
45.0ms	(/ x (/ z (+ y z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (40.0ms)

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

prune199.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	131	5	136

Merged error: 0b

Counts

136 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.3b	(/ 1 (/ (/ z (+ y z)) x))
2.9b	(/ (/ 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))
15.0ms	(/ 1 (/ (/ z (+ y z)) x))
8.0ms	(/ (/ z (+ y z)) x)

series139.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ z (+ y z))
38.0ms	(/ 1 (/ (/ z (+ y z)) x))
64.0ms	(/ (/ z (+ y z)) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1206	3746
1	5001	3336

prune556.0ms

Filtered

392 candidates to 240 candidates (61.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	392	5	397

Merged error: 0b

Counts

397 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

11.8b

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

rewrite9.0ms

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:

8.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

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

prune58.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	42	5	47

Merged error: 0b

Counts

47 → 5

regimes116.0ms

Accuracy

75.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.7b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	25	27
1	28	27
2	34	18
3	37	18
4	43	18
5	54	18
6	61	18
7	62	18
8	62	18

end0.0ms

sample444.0ms

Algorithm

intervals

Results

245.0ms

9634×

body

valid