Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

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 (- a t))
2.4b	(fma (/ y (- a t)) (- 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 (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series217.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- a t))
182.0ms	(fma (/ y (- a t)) (- z t) x)

simplify111.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (39.0ms)

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

prune151.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
2.4b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite21.0ms

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))
11.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series256.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a t))
35.0ms	(* y (/ 1 (- a t)))
185.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (30.0ms)

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

prune206.0ms

Filtered

108 candidates to 64 candidates (59.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
1.1b	(/ 1 (/ (- a t) y))
2.4b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite26.0ms

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

series289.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- a t) y)
75.0ms	(/ 1 (/ (- a t) y))
186.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (44.0ms)

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

prune269.0ms

Filtered

161 candidates to 84 candidates (52.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	163	6	169

Merged error: 0.0b

Counts

169 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

7.0ms	(/ (- a t) y)
13.0ms	(/ (- z t) (/ (- a t) y))

series129.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- a t) y)
103.0ms	(/ (- z t) (/ (- a t) y))

simplify79.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	710	1622
1	2784	1571
2	5001	1570

prune390.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	185	6	191

Merged error: 0b

Counts

191 → 6

regimes244.0ms

Accuracy

55.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms

sample528.0ms

Algorithm

intervals

Results

266.0ms	8740×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid