Details

sample53.0ms

Algorithm

intervals

Results

25.0ms

473×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1844
4	493
3	171
2	52
1	21
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 4.0 (* (fma z (- z) t) y) (* x x))
5.2b	(* (fma z (- z) t) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma 4.0 (* (fma z (- z) t) y) (* x x))
7.0ms	(* (fma z (- z) t) y)

series215.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(fma 4.0 (* (fma z (- z) t) y) (* x x))
80.0ms	(* (fma z (- z) t) y)

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	3113
2	393
1	120
0	60

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* 4.0 y) (fma z (- z) t)))
5.2b	(* (* 4.0 y) (fma z (- z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x x (* (* 4.0 y) (fma z (- z) t)))
22.0ms	(* (* 4.0 y) (fma z (- z) t))

series219.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(fma x x (* (* 4.0 y) (fma z (- z) t)))
83.0ms	(* (* 4.0 y) (fma z (- z) t))

simplify636.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5000
2	1015
1	175
0	71

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
0.0b	(* 4.0 (* y t))
0.0b	(* 4.0 (- (* (* y z) z)))
0.2b	(* (* y z) z)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

0.0ms	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
19.0ms	(* 4.0 (* y t))
18.0ms	(* 4.0 (- (* (* y z) z)))
15.0ms	(* (* y z) z)

series240.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(fma x x (+ (* 4.0 (- (* (* y z) z))) (* 4.0 (* y t))))
30.0ms	(* 4.0 (* y t))
44.0ms	(* 4.0 (- (* (* y z) z)))
33.0ms	(* (* y z) z)

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1885
1	318
0	123

prune520.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 4.0) (cbrt 4.0)) (* (* (cbrt 4.0) z) (- (* y z))))
0.2b	(* (* (cbrt 4.0) z) (- (* y z)))
0.4b	(* (cbrt 4.0) z)
1.0b	(* (cbrt 4.0) (cbrt 4.0))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1`
34×	`add-exp-log`
28×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
21×	`pow-prod-down`
20×	`cbrt-prod` `prod-exp` `cbrt-unprod`
16×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
14×	`associate-l`
6×	`pow1/3` `swap-sqr` `unswap-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-neg-out`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-plus`

Counts

4 → 121

Calls

4 calls:

98.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (* (cbrt 4.0) z) (- (* y z))))
25.0ms	(* (* (cbrt 4.0) z) (- (* y z)))
7.0ms	(* (cbrt 4.0) z)
9.0ms	(* (cbrt 4.0) (cbrt 4.0))

series239.0ms

Counts

4 → 10

Calls

4 calls:

86.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (* (cbrt 4.0) z) (- (* y z))))
94.0ms	(* (* (cbrt 4.0) z) (- (* y z)))
59.0ms	(* (cbrt 4.0) z)
0.0ms	(* (cbrt 4.0) (cbrt 4.0))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2476
1	379
0	142

prune782.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes480.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	66
5	66
4	59
3	53
2	44
1	34
0	19

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.6s

16134×

body

valid