Details

sample41.0ms

Algorithm

intervals

Results

21.0ms

395×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (40.0ms)

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 (100.0%)

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

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (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)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--` `fma-udef`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 55

Calls

3 calls:

3.0ms	(- (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)

series153.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
52.0ms	(fma b (- (+ y t) 2.0) x)
29.0ms	(* (- t 1.0) a)

simplify95.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	234	364
1	770	324
2	4160	312
3	5001	310

prune186.0ms

Filtered

64 candidates to 50 candidates (78.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b	(fma b (- (+ y t) 2.0) x)
2.4b	(* (- (* t t) (* 1.0 1.0)) a)
5.3b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`prod-diff`
29×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
6×	`pow1` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `flip3-+` `associate-l` `associate-l/` `associate-/r` `flip-+` `log1p-expm1-u` `div-inv`
3×	`flip3--` `fma-neg` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `associate-/l/` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `-commutative` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
1.0ms	(fma b (- (+ y t) 2.0) x)
6.0ms	(* (- (* t t) (* 1.0 1.0)) a)
9.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series292.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (fma b (- (+ y t) 2.0) x) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
44.0ms	(fma b (- (+ y t) 2.0) x)
47.0ms	(* (- (* t t) (* 1.0 1.0)) a)
87.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	580	2019
1	2506	1495
2	5002	1489

prune346.0ms

Filtered

124 candidates to 83 candidates (66.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
0.0b	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
0.1b	(* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))
37.2b	(/ (* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

1.0ms	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
1.0ms	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
5.0ms	(* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))
9.0ms	(/ (* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
80.0ms	(fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))
522.0ms	(* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))
75.0ms	(/ (* (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x))) (fma a (- t 1.0) (fma b (- (+ y t) 2.0) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	1062
1	1800	834
2	5002	829

prune258.0ms

Filtered

81 candidates to 66 candidates (81.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0b

Counts

84 → 3

regimes143.0ms

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

sample1.1s

Algorithm

intervals

Results

677.0ms	12540×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid