Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

321×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3328
7	2269
6	1169
5	453
4	195
3	92
2	34
1	14
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z (- y 1.0) 1.0)
3.6b	(* x (fma z (- y 1.0) 1.0))

rewrite10.0ms

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` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma z (- y 1.0) 1.0)
9.0ms	(* x (fma z (- y 1.0) 1.0))

series76.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma z (- y 1.0) 1.0)
53.0ms	(* x (fma z (- y 1.0) 1.0))

simplify1.6s

Counts

38 → 38

Iterations

Iter	Nodes
done	5004
3	1412
2	327
1	123
0	54

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (fma z (- y 1.0) 1.0)))
0.1b	(* (* x (sqrt (fma z (- y 1.0) 1.0))) (sqrt (fma z (- y 1.0) 1.0)))
2.2b	(sqrt (fma z (- y 1.0) 1.0))
2.2b	(sqrt (fma z (- y 1.0) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

13.0ms	(* x (sqrt (fma z (- y 1.0) 1.0)))
32.0ms	(* (* x (sqrt (fma z (- y 1.0) 1.0))) (sqrt (fma z (- y 1.0) 1.0)))
1.0ms	(sqrt (fma z (- y 1.0) 1.0))
2.0ms	(sqrt (fma z (- y 1.0) 1.0))

series410.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* x (sqrt (fma z (- y 1.0) 1.0)))
69.0ms	(* (* x (sqrt (fma z (- y 1.0) 1.0))) (sqrt (fma z (- y 1.0) 1.0)))
106.0ms	(sqrt (fma z (- y 1.0) 1.0))
112.0ms	(sqrt (fma z (- y 1.0) 1.0))

simplify2.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
3	3817
2	933
1	288
0	111

prune449.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* x z))
1.2b	(fma (* x z) y (* 1.0 (- x (* x z))))

rewrite8.0ms

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` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 30

Calls

2 calls:

7.0ms	(- x (* x z))
0.0ms	(fma (* x z) y (* 1.0 (- x (* x z))))

series129.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- x (* x z))
83.0ms	(fma (* x z) y (* 1.0 (- x (* x z))))

simplify1.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5008
3	1893
2	437
1	128
0	60

prune147.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
2.2b	(fma z (* x (- y 1.0)) (* 1.0 x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

19.0ms	(* x (- y 1.0))
0.0ms	(fma z (* x (- y 1.0)) (* 1.0 x))

series114.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (- y 1.0))
71.0ms	(fma z (* x (- y 1.0)) (* 1.0 x))

simplify1.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
3	1655
2	559
1	266
0	121

prune171.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

92.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch74.0ms

Steps

Iters	Range		Point
5	2.2866486562520042e+35	6.014910894053134e+35	3.7070172893444794e+35
9	-9.551130057351982e-10	-4.494774876304711e-17	-2.1971207960679156e-16

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample963.0ms

Algorithm

intervals

Results

672.0ms

10214×

body

valid