Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

278×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune8.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.2b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series113.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
83.0ms	(fma (/ y (- z a)) (- z t) x)

simplify110.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune138.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
3.2b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

5.0ms	(/ 1 (- z a))
10.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series140.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z a))
28.0ms	(* y (/ 1 (- z a)))
78.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	288	498
1	1139	430
2	4201	384
3	5002	382

prune187.0ms

Filtered

108 candidates to 65 candidates (60.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.8b	(/ 1 (/ (- z a) y))
3.2b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

6.0ms	(/ (- z a) y)
8.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- z a) y)
69.0ms	(/ 1 (/ (- z a) y))
89.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	466	1074
1	1946	948
2	5001	842

prune268.0ms

Filtered

161 candidates to 86 candidates (53.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Merged error: 0.0b

Counts

166 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
0.0b	(/ (- z a) y)
13.1b	(/ (- z t) (/ (- z a) y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

39.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
10.0ms	(/ (- z a) y)
12.0ms	(/ (- z t) (/ (- z a) y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
26.0ms	(/ (- z a) y)
99.0ms	(/ (- z t) (/ (- z a) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	793	1747
1	3017	1690
2	5001	1690

prune626.0ms

Filtered

303 candidates to 209 candidates (69.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	301	2	303
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	303	6	309

Merged error: 0b

Counts

309 → 6

regimes269.0ms

Accuracy

57.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	22
1	27	22

end0.0ms

sample540.0ms

Algorithm

intervals

Results

271.0ms	8744×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid