Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

275×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	40	4
2	69	4
3	104	4
4	146	4
5	160	4
6	160	4

prune6.0ms

Filtered

1 candidates to 1 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: 5.2b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.2b	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.8b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
228×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
56×	`associate-/l*`
22×	`div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`

Counts

2 → 266

Calls

2 calls:

13.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms	(/ (/ 1.0 x) (fma z z 1.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
57.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1148	2808
1	4638	2733
2	5002	2733

prune699.0ms

Filtered

272 candidates to 237 candidates (87.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	262	10	272
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	264	10	274

Merged error: 5.0b

Counts

274 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ 1.0 (* (fma z z 1.0) x))
3.2b	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.6b	(* (fma z z 1.0) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ 1.0 (* (fma z z 1.0) x))
6.0ms	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.0ms	(* (fma z z 1.0) x)

series153.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ 1.0 (* (fma z z 1.0) x))
65.0ms	(/ (/ 1.0 (* (fma z z 1.0) x)) y)
39.0ms	(* (fma z z 1.0) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	414	626
1	1769	553
2	5001	552

prune172.0ms

Filtered

102 candidates to 77 candidates (75.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	105	7	112

Merged error: 5.0b

Counts

112 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

3.4b	(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
3.8b	(/ (/ 1.0 x) (fma z z 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
116×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
86×	`add-cube-cbrt`
46×	`add-exp-log`
43×	`associate-l`
28×	`add-cbrt-cube`
21×	`div-exp`
13×	`associate-r` `associate-/l*`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/r*`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `associate-/l/`

Counts

2 → 170

Calls

2 calls:

18.0ms	(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
6.0ms	(/ (/ 1.0 x) (fma z z 1.0))

series120.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (/ (/ 1.0 x) (fma z z 1.0)) (/ 1 y))
55.0ms	(/ (/ 1.0 x) (fma z z 1.0))

simplify94.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	897	1380
1	4093	1235
2	5001	1223

prune330.0ms

Filtered

176 candidates to 138 candidates (78.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	176	7	183

Merged error: 5.0b

Counts

183 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
3.1b	(* y (* (fma z z 1.0) x))
3.6b	(* (fma z z 1.0) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
31×	`times-frac` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
15×	`div-exp`
13×	`prod-exp` `associate-/l*`
10×	`pow1` `cbrt-unprod`
9×	`cbrt-undiv`
6×	`associate-l`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `1-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

8.0ms	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
5.0ms	(* y (* (fma z z 1.0) x))
3.0ms	(* (fma z z 1.0) x)

series160.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (/ 1.0 1) (* y (* (fma z z 1.0) x)))
48.0ms	(* y (* (fma z z 1.0) x))
45.0ms	(* (fma z z 1.0) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	487	623
1	2289	499
2	5001	475

prune132.0ms

Filtered

104 candidates to 60 candidates (57.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	104	7	111

Merged error: 5.0b

Counts

111 → 7

regimes122.0ms

Accuracy

0% (1.7b remaining)

Error of 6.4b against oracle of 4.7b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4

end0.0ms

sample411.0ms

Algorithm

intervals

Results

244.0ms

8660×

body

valid