Details

sample107.0ms

Algorithm

intervals

Results

57.0ms

385×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (428.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

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:

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

series315.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
201.0ms	(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

simplify687.0ms

Counts

26 → 26

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	50	444
1	98	437
2	222	378
3	698	375
done	5000	375

prune149.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

0.0ms	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
79.0ms	(+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
122.0ms	(* b (- (+ y t) 2.0))

series397.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(fma (- 1.0 y) z (fma a (- 1.0 t) x))
210.0ms	(+ (* b (- (+ y t) 2.0)) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
48.0ms	(* b (- (+ y t) 2.0))

simplify846.0ms

Counts

119 → 119

Iterations

Useful iterations: done (840.0ms)

Iter	Nodes	Cost
0	172	2389
1	376	1922
2	958	1685
done	5001	1634

prune465.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* b (- (pow (cbrt (+ y t)) 3) 2.0)) (* (fma 2.0 -1 2.0) b)) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
0.0b	(* b (- (pow (cbrt (+ y t)) 3) 2.0))
0.5b	(cbrt (+ y t))
0.8b	(pow (cbrt (+ y t)) 3)

rewrite916.0ms

Algorithm

rewrite-expression-head

Rules

120×	`prod-diff`
117×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
62×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
51×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
10×	`associate-r`
9×	`add-log-exp`
8×	`sqr-pow`
7×	`pow1` `add-exp-log` `cube-mult` `unpow3`
6×	`add-cbrt-cube` `difference-of-squares`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`cube-div` `sub-neg` `pow-pow` `pow1/3` `associate-*r/`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `associate-+r+` `flip3--` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 225

Calls

4 calls:

539.0ms	(+ (+ (* b (- (pow (cbrt (+ y t)) 3) 2.0)) (* (fma 2.0 -1 2.0) b)) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
333.0ms	(* b (- (pow (cbrt (+ y t)) 3) 2.0))
6.0ms	(cbrt (+ y t))
20.0ms	(pow (cbrt (+ y t)) 3)

series1.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(+ (+ (* b (- (pow (cbrt (+ y t)) 3) 2.0)) (* (fma 2.0 -1 2.0) b)) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))
100.0ms	(* b (- (pow (cbrt (+ y t)) 3) 2.0))
203.0ms	(cbrt (+ y t))
167.0ms	(pow (cbrt (+ y t)) 3)

simplify1.4s

Counts

237 → 237

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	325	6194
1	692	3646
2	1724	2799
done	5000	2784

prune693.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

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

sample2.8s

Algorithm

intervals

Results

1.8s	12346×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid