Details

sample39.0ms

Algorithm

intervals

Results

19.0ms	387×	body	80	valid
0.0ms	1×	body	1280	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (38.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b	(fma b (- (+ y t) 2.0) x)
0.0b	(* (- t 1.0) a)
0.0b	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
42×	`prod-diff`
30×	`add-cube-cbrt`
22×	`associate-l`
12×	`associate-r`
8×	`distribute-lft-out--`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u`
3×	`fma-neg` `fma-udef`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

1.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
1.0ms	(fma b (- (+ y t) 2.0) x)
6.0ms	(* (- t 1.0) a)
11.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series330.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
47.0ms	(fma b (- (+ y t) 2.0) x)
33.0ms	(* (- t 1.0) a)
82.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify57.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	455	1572
1	1426	1142
2	5001	1136

prune218.0ms

Filtered

121 candidates to 70 candidates (42.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Merged error: 0.0b

Counts

122 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.5b	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.5b	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.6b	(* (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
1.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
1.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
6.0ms	(* (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

series3.0s

Counts

4 → 12

Calls

4 calls:

470.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
473.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
471.0ms	(cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
1.5s	(* (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (cbrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	1920
1	1124	1724
2	5001	1535

prune325.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

576.0ms	12673×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid