Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

285×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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

prune9.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
2.6b	(fma (/ y (- z a)) (- z t) x)

rewrite9.0ms

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:

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

series130.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ y (- z a))
95.0ms	(fma (/ y (- z a)) (- z t) x)

simplify148.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (139.0ms)

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

prune174.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.9b	(/ 1 (/ (- z a) y))
2.6b	(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
108×	`*-un-lft-identity`
105×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
25×	`associate-/r*`
18×	`distribute-lft-out--`
17×	`difference-of-squares`
16×	`add-exp-log`
15×	`associate-/l*`
13×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `clear-num` `associate-/l/`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `remove-double-div` `add-log-exp`
2×	`rec-exp` `flip3--` `1-exp` `flip--`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 167

Calls

3 calls:

7.0ms	(/ (- z a) y)
12.0ms	(/ 1 (/ (- z a) y))
1.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

series225.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- z a) y)
85.0ms	(/ 1 (/ (- z a) y))
107.0ms	(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	495	1110
1	2030	982
2	5001	866

prune374.0ms

Filtered

176 candidates to 91 candidates (51.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	178	4	182

Merged error: 0b

Counts

182 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) y)
0.0b	(+ (/ (- z t) (/ (- z a) y)) x)
11.8b	(/ (- z t) (/ (- z a) y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
314×	`*-un-lft-identity`
312×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
112×	`fma-def`
78×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
26×	`associate-/r/`
20×	`associate-/l*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 318

Calls

3 calls:

7.0ms	(/ (- z a) y)
53.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
15.0ms	(/ (- z t) (/ (- z a) y))

series228.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- z a) y)
96.0ms	(+ (/ (- z t) (/ (- z a) y)) x)
104.0ms	(/ (- z t) (/ (- z a) y))

simplify104.0ms

Algorithm

egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	843	1795
1	3154	1738
2	5001	1738

prune936.0ms

Filtered

327 candidates to 228 candidates (69.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	327	4	331

Merged error: 0b

Counts

331 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(/ (/ 1 (- z a)) (/ 1 y))
2.6b	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
391×	`add-sqr-sqrt` `*-un-lft-identity`
297×	`add-cube-cbrt`
47×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
38×	`div-inv`
34×	`div-exp`
30×	`associate-/l*`
26×	`associate-/r*`
17×	`add-cbrt-cube`
15×	`flip3--` `flip--`
11×	`associate-/l/`
9×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1` `frac-2neg` `clear-num`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 412

Calls

3 calls:

7.0ms	(/ 1 (- z a))
22.0ms	(/ (/ 1 (- z a)) (/ 1 y))
1.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

series231.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 1 (- z a))
76.0ms	(/ (/ 1 (- z a)) (/ 1 y))
112.0ms	(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

simplify92.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	1664	4285
1	5001	3653

prune1.0s

Filtered

421 candidates to 183 candidates (43.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	421	0	421
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	421	4	425

Merged error: 0b

Counts

425 → 4

regimes196.0ms

Accuracy

88.3% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample538.0ms

Algorithm

intervals

Results

274.0ms	8705×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid