Details

sample78.0ms

Algorithm

intervals

Results

32.0ms

396×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2113
3	423
2	118
1	38
0	18

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series330.0ms

Counts

2 → 6

Calls

2 calls:

253.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (fma b (- (+ t y) 2.0) x)))
76.0ms	(fma b (- (+ t y) 2.0) x)

simplify2.7s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
4	4334
3	658
2	225
1	96
0	49

prune208.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- (+ t y) 2.0) x)
0.0b	(sqrt (fma b (- (+ t y) 2.0) x))
0.0b	(sqrt (fma b (- (+ t y) 2.0) x))
0.2b	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

rewrite16.0ms

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 b (- (+ t y) 2.0) x)
1.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
1.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
11.0ms	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

series722.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma b (- (+ t y) 2.0) x)
263.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
311.0ms	(sqrt (fma b (- (+ t y) 2.0) x))
64.0ms	(* (sqrt (fma b (- (+ t y) 2.0) x)) (sqrt (fma b (- (+ t y) 2.0) x)))

simplify2.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3958
2	659
1	209
0	94

prune728.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))))
0.1b	(* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x))
0.1b	(* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x))
41.3b	(cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))))
31.0ms	(* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x))
9.0ms	(* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x))
17.0ms	(cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))))
398.0ms	(* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x))
127.0ms	(* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x))
59.0ms	(cbrt (* (* (fma b (- (+ t y) 2.0) x) (fma b (- (+ t y) 2.0) x)) (fma b (- (+ t y) 2.0) x)))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1503
1	339
0	132

prune657.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 31

Calls

2 calls:

9.0ms	(- (fma t b x) (* 2.0 b))
1.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (- (fma t b x) (* 2.0 b))))

series208.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (fma t b x) (* 2.0 b))
154.0ms	(fma a (- 1.0 t) (fma (- 1.0 y) z (- (fma t b x) (* 2.0 b))))

simplify867.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	749
1	179
0	74

prune279.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes576.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s	12454×	body	80	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid