Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune12.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.1b	(fma (/ y (- a t)) (- 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 (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series218.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
187.0ms	(fma (/ y (- a t)) (- z t) x)

simplify124.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune152.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.4b	(/ 1 (/ (- a t) y))
2.1b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite29.0ms

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:

7.0ms	(/ (- a t) y)
13.0ms	(/ 1 (/ (- a t) y))
1.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series306.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
78.0ms	(/ 1 (/ (- a t) y))
200.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	462	1073
1	1927	947
2	5001	836

prune292.0ms

Filtered

161 candidates to 85 candidates (52.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	161	6	167

Merged error: 0.0b

Counts

167 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
10.6b	(/ (- z t) (/ (- a t) y))

rewrite85.0ms

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:

7.0ms	(/ (- a t) y)
45.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
13.0ms	(/ (- z t) (/ (- a t) y))

series241.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- a t) y)
99.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
116.0ms	(/ (- z t) (/ (- a t) y))

simplify94.0ms

Algorithm

egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	791	1747
1	3018	1690
2	5001	1690

prune737.0ms

Filtered

303 candidates to 209 candidates (69.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	300	3	303
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	303	6	309

Merged error: 0b

Counts

309 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
0.0b	(/ (- z t) (- a t))
1.8b	(/ (/ (- z t) (- a t)) (/ 1 y))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

2073×	`times-frac`
1320×	`*-un-lft-identity`
1318×	`add-sqr-sqrt`
754×	`add-cube-cbrt`
408×	`fma-def`
282×	`distribute-lft-out--` `difference-of-squares`
93×	`div-inv`
58×	`associate-/r/`
36×	`associate-/l*`
29×	`flip3--` `flip--`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 951

Calls

3 calls:

142.0ms	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
9.0ms	(/ (- z t) (- a t))
27.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
47.0ms	(/ (- z t) (- a t))
104.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

simplify134.0ms

Algorithm

egg-herbie

Counts

960 → 960

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2172	7115
1	5001	6613

prune2.1s

Filtered

960 candidates to 536 candidates (55.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	960	0	960
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	960	6	966

Merged error: 0b

Counts

966 → 6

regimes250.0ms

Accuracy

86.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample544.0ms

Algorithm

intervals

Results

289.0ms	8743×	body	80	valid
0.0ms	3×	body	1280	valid