Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

423×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (39.0ms)

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

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: 0.0b

Counts

2 → 2

localize17.0ms

Local error

Found 3 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)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 44

Calls

3 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)

series356.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
173.0ms	(fma b (- (+ y t) 2.0) x)
28.0ms	(* (- t 1.0) a)

simplify54.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	191	282
1	585	240
2	2441	237
3	5002	236

prune146.0ms

Filtered

53 candidates to 42 candidates (79.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	53	2	55

Merged error: 0b

Counts

55 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`associate-l`
9×	`add-cube-cbrt` `add-log-exp`
8×	`pow1` `add-exp-log` `associate-*l/` `add-cbrt-cube`
6×	`associate-+r+` `flip3--` `associate-r` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`prod-diff`
2×	`pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `fma-def` `flip3-+` `diff-log` `associate--l+` `flip-+`

Counts

4 → 84

Calls

4 calls:

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

series257.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- 1.0 y) z)
43.0ms	(fma b (- (+ y t) 2.0) x)
31.0ms	(* (- t 1.0) a)
152.0ms	(+ (* (- 1.0 y) z) (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	501	697
1	2018	639
2	5003	630

prune244.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

98 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

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

series165.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
30.0ms	(* (- t 1.0) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	159	208
1	510	177
2	2201	175
3	5001	175

prune97.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Merged error: 0b

Counts

42 → 2

regimes108.0ms

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	21	9
1	21	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

695.0ms	12496×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid