Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

277×

body

valid

simplify82.0ms

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

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: 0.1b

Counts

2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.6b	(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)

series228.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
197.0ms	(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

prune180.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	1	1
Picked	1	0	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	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
1.6b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite23.0ms

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:

6.0ms	(/ 1 (- a t))
12.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series272.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a t))
37.0ms	(* y (/ 1 (- a t)))
197.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify85.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	284	497
1	1119	429
2	4119	381
3	5001	381

prune264.0ms

Filtered

108 candidates to 65 candidates (60.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.7b	(/ 1 (/ (- a t) y))
1.6b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite25.0ms

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

series319.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
81.0ms	(/ 1 (/ (- a t) y))
209.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (48.0ms)

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

prune354.0ms

Filtered

161 candidates to 85 candidates (52.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	2	2	4
Picked	1	0	1
Done	1	0	1
Total	162	5	167

Merged error: 0.0b

Counts

167 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
1.6b	(fma (* 1 (/ 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 (* 1 (/ y (- a t))) (- z t) x)

series226.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- a t))
195.0ms	(fma (* 1 (/ y (- a t))) (- z t) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	170	277
1	522	255
2	1598	253
3	5001	253

prune173.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

regimes220.0ms

Accuracy

68.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	23
1	31	23
2	31	23

end0.0ms

sample550.0ms

Algorithm

intervals

Results

282.0ms	8699×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid