Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

376×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (264.0ms)

Iter	Nodes	Cost
0	18	21
1	38	21
2	118	19
3	416	19
4	1377	18
done	5000	18

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series192.0ms

Counts

2 → 6

Calls

2 calls:

160.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
32.0ms	(fma a (- 1.0 t) x)

simplify466.0ms

Counts

26 → 26

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	50	384
1	95	377
2	210	323
3	725	321
done	5001	321

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (fma a (- 1.0 t) x))
0.0b	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (expm1 (log1p (fma a (- 1.0 t) x)))))
0.0b	(fma a (- 1.0 t) x)
2.4b	(expm1 (log1p (fma a (- 1.0 t) x)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 42

Calls

4 calls:

0.0ms	(log1p (fma a (- 1.0 t) x))
0.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (expm1 (log1p (fma a (- 1.0 t) x)))))
0.0ms	(fma a (- 1.0 t) x)
0.0ms	(expm1 (log1p (fma a (- 1.0 t) x)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(log1p (fma a (- 1.0 t) x))
120.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (expm1 (log1p (fma a (- 1.0 t) x)))))
27.0ms	(fma a (- 1.0 t) x)
137.0ms	(expm1 (log1p (fma a (- 1.0 t) x)))

simplify957.0ms

Counts

54 → 54

Iterations

Useful iterations: done (955.0ms)

Iter	Nodes	Cost
0	113	798
1	250	725
2	657	630
3	2083	601
done	5001	579

prune200.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* t (- b a)) (* z y))
0.0b	(* t (- b a))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

37×	`prod-diff`
32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`sub-neg` `associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 84

Calls

2 calls:

19.0ms	(- (* t (- b a)) (* z y))
24.0ms	(* t (- b a))

series92.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* t (- b a)) (* z y))
38.0ms	(* t (- b a))

simplify1.7s

Counts

90 → 90

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	143	1323
1	304	1033
2	686	866
3	2575	804
done	5000	709

prune179.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	16	18
done	16	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

539.0ms	12478×	body	80	valid
0.0ms	1×	body	320	valid