Details

sample98.0ms

Algorithm

intervals

Results

57.0ms	410×	body	80	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1455
3	408
2	116
1	38
0	18

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

Calls

3 calls:

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

series423.0ms

Counts

3 → 9

Calls

3 calls:

267.0ms	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
36.0ms	(fma z (- 1.0 y) x)
119.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))

simplify1.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	934
2	265
1	114
0	61

prune329.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

82.0ms	(+ (* (- (+ t y) 2.0) b) (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
101.0ms	(* (- (+ t y) 2.0) b)
0.0ms	(fma z (- 1.0 y) x)
0.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))

series444.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(+ (* (- (+ t y) 2.0) b) (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
51.0ms	(* (- (+ t y) 2.0) b)
49.0ms	(fma z (- 1.0 y) x)
110.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	899
1	280
0	116

prune635.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0b	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.0b	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.2b	(* (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
2.0ms	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
2.0ms	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
20.0ms	(* (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))

series1.6s

Counts

4 → 12

Calls

4 calls:

151.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
657.0ms	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
651.0ms	(sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
107.0ms	(* (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (sqrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5020
3	1629
2	465
1	205
0	98

prune726.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.9s	12638×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid