Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

280×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.6b	(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:

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

series230.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ y (- a t))
195.0ms	(fma (/ y (- a t)) (- z t) x)

simplify118.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (42.0ms)

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

prune154.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
3.6b	(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))
11.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series271.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a t))
35.0ms	(* y (/ 1 (- a t)))
197.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

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

prune207.0ms

Filtered

108 candidates to 63 candidates (58.3%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.6b	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series824.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt y)
199.0ms	(cbrt y)
197.0ms	(cbrt y)
237.0ms	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	82	265
1	195	234
2	777	224
3	5001	222

prune199.0ms

Filtered

61 candidates to 52 candidates (85.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) y)
11.0b	(/ (- z t) (/ (- a t) y))

rewrite31.0ms

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)
14.0ms	(/ (- z t) (/ (- a t) y))

series152.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- a t) y)
116.0ms	(/ (- z t) (/ (- a t) y))

simplify89.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (69.0ms)

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

prune405.0ms

Filtered

185 candidates to 124 candidates (67.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	3	2	5
Picked	1	0	1
Done	2	0	2
Total	187	6	193

Merged error: 0b

Counts

193 → 6

regimes239.0ms

Accuracy

66.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch61.0ms

Steps

Iters	Range		Point
3	1.3994187472664603e-57	2.0075486493901634e-57	1.5894593416801174e-57
7	-2.5038721463303724e-45	-3.9116203396677266e-47	-4.168219030918091e-47

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	11
1	31	11

end0.0ms

sample593.0ms

Algorithm

intervals

Results

330.0ms	8719×	body	80	valid
0.0ms	1×	body	2560	valid