Details

sample199.0ms

Algorithm

intervals

Results

54.0ms

520×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3561
3	664
2	152
1	51
0	22

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.3b	(/ 2.0 (* r r))
4.4b	(* w (* (* r r) w))
6.9b	(* (* r r) w)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`add-cbrt-cube` `add-exp-log`
25×	`associate-l`
24×	`*-un-lft-identity`
20×	`pow1`
19×	`times-frac`
18×	`add-cube-cbrt`
12×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`associate-/r/` `fma-udef` `div-inv`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `flip3--` `associate-l/` `flip--`

Counts

4 → 111

Calls

4 calls:

50.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
12.0ms	(/ 2.0 (* r r))
61.0ms	(* w (* (* r r) w))
18.0ms	(* (* r r) w)

series233.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
31.0ms	(/ 2.0 (* r r))
64.0ms	(* w (* (* r r) w))
34.0ms	(* (* r r) w)

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	3135
1	504
0	198

prune939.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (fabs (* w r)) (fabs (* w r))) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
0.1b	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
0.3b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`associate-l`
20×	`add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `swap-sqr` `div-exp` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`pow-prod-down` `associate-/r/` `*-commutative` `div-inv`
1×	`pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `associate-l/` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 104

Calls

4 calls:

1.0ms	(fma (* (fabs (* w r)) (fabs (* w r))) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
55.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
11.0ms	(/ 2.0 (* r r))
6.0ms	(* (fabs (* w r)) (fabs (* w r)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(fma (* (fabs (* w r)) (fabs (* w r))) (* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0)) 4.5)
83.0ms	(* (/ 0.125 (- 1.0 v)) (fma v (- 2.0) 3.0))
37.0ms	(/ 2.0 (* r r))
18.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2997
1	521
0	211

prune929.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
0.1b	(* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.3b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`add-cbrt-cube`
16×	`add-log-exp`
13×	`prod-exp`
12×	`prod-diff`
11×	`associate-l`
8×	`times-frac` `div-exp` `associate-r`
7×	`unpow-prod-down`
5×	`pow1` `cbrt-unprod` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-to-exp` `cbrt-undiv` `sum-log` `flip3-+` `fma-neg` `diff-log` `pow-exp` `frac-sub` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`pow-unpow` `associate-/l*` `distribute-lft-out--` `unpow2` `sqr-pow`
2×	`flip3--` `associate-/r/` `div-inv` `flip--` `difference-of-squares`
1×	`clear-num` `associate-/r` `sub-neg` `pow-pow` `frac-2neg` `associate-l/` `associate--l+` `*-commutative` `associate--r+`

Counts

4 → 131

Calls

4 calls:

205.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
46.0ms	(* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2))
9.0ms	(/ 2.0 (* r r))
4.0ms	(pow (fabs (* w r)) 2)

series288.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
108.0ms	(* (/ (* 0.125 (fma v (- 2.0) 3.0)) (- 1.0 v)) (pow (fabs (* w r)) 2))
35.0ms	(/ 2.0 (* r r))
16.0ms	(pow (fabs (* w r)) 2)

simplify2.3s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	4633
1	854
0	291

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (fabs (* r w))) (/ 0.125 (/ (- 1.0 v) (fma v (- 2.0) 3.0)))) (sqrt (pow (fabs (* w r)) 2)))
0.3b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)
9.6b	(sqrt (pow (fabs (* w r)) 2))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`sqrt-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`associate-r`
10×	`pow1` `unpow-prod-down`
8×	`prod-exp` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `times-frac` `pow-prod-down` `associate-/l*`
1×	`pow-to-exp` `clear-num` `associate-/r` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `pow-exp` `associate-r/` `-commutative` `div-inv`

Counts

4 → 99

Calls

4 calls:

78.0ms	(* (* (fabs (fabs (* r w))) (/ 0.125 (/ (- 1.0 v) (fma v (- 2.0) 3.0)))) (sqrt (pow (fabs (* w r)) 2)))
7.0ms	(/ 2.0 (* r r))
3.0ms	(pow (fabs (* w r)) 2)
6.0ms	(sqrt (pow (fabs (* w r)) 2))

series241.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (* (fabs (fabs (* r w))) (/ 0.125 (/ (- 1.0 v) (fma v (- 2.0) 3.0)))) (sqrt (pow (fabs (* w r)) 2)))
32.0ms	(/ 2.0 (* r r))
16.0ms	(pow (fabs (* w r)) 2)
3.0ms	(sqrt (pow (fabs (* w r)) 2))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	3000
1	532
0	191

prune893.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.1s

17039×

body

valid