Details

sample166.0ms

Algorithm

intervals

Results

135.0ms

454×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
4	5586
3	1256
2	259
1	73
0	28

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-exp-log`
75×	`add-cbrt-cube` `prod-exp`
53×	`pow1`
45×	`cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`div-exp`
8×	`cbrt-undiv`
6×	`pow-plus` `pow-prod-up`
5×	`rec-exp` `1-exp` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

15.0ms	(* (* (fabs x) (fabs x)) (fabs x))
577.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
92.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms	(sqrt PI)

series173.0ms

Counts

4 → 10

Calls

4 calls:

44.0ms	(* (* (fabs x) (fabs x)) (fabs x))
73.0ms	(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
57.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify6.3s

Counts

159 → 159

Iterations

Iter	Nodes
3	7274
2	1986
1	638
0	234

prune2.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
0.2b	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* 1/21 (* (fabs x) (fabs x))) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
0.2b	(* 1/21 (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `associate-r` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
9.0ms	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* 1/21 (* (fabs x) (fabs x))) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
27.0ms	(* 1/21 (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)

series551.0ms

Counts

4 → 10

Calls

4 calls:

143.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
353.0ms	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* 1/21 (* (fabs x) (fabs x))) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
56.0ms	(* 1/21 (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
3	2455
2	734
1	289
0	147

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)
0.2b	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
0.2b	(* 1/21 (* (fabs x) (fabs x)))
1.0b	(sqrt PI)

rewrite596.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1`
38×	`add-cbrt-cube` `add-exp-log`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

189.0ms	(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)
0.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
403.0ms	(* 1/21 (* (fabs x) (fabs x)))
2.0ms	(sqrt PI)

series241.0ms

Counts

4 → 10

Calls

4 calls:

66.0ms	(* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)
134.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
42.0ms	(* 1/21 (* (fabs x) (fabs x)))
0.0ms	(sqrt PI)

simplify3.8s

Counts

95 → 95

Iterations

Iter	Nodes
3	4481
2	1024
1	321
0	131

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
0.2b	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* 1/21 (fabs x)) (fabs x)) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
0.4b	(* 1/21 (fabs x))
1.0b	(sqrt PI)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `associate-/l*`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
10.0ms	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* 1/21 (fabs x)) (fabs x)) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
6.0ms	(* 1/21 (fabs x))
1.0ms	(sqrt PI)

series556.0ms

Counts

4 → 10

Calls

4 calls:

131.0ms	(fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5))
399.0ms	(/ (fma (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* 1/21 (fabs x)) (fabs x)) (fma (fabs x) 2 (fma (* (* (fabs x) (fabs x)) (fabs x)) 2/3 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) 1/5)))) (sqrt PI))
26.0ms	(* 1/21 (fabs x))
0.0ms	(sqrt PI)

simplify6.8s

Counts

100 → 100

Iterations

Iter	Nodes
4	10760
3	1941
2	581
1	259
0	143

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	44
1	44
0	28

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.2s

14050×

body

valid