Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

319×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4734
6	1275
5	613
4	294
3	123
2	50
1	22
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.25 (/ (- z x) y))
0.0b	(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)
0.0b	(/ (- z x) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
61×	`times-frac`
60×	`add-cube-cbrt`
57×	`prod-diff`
15×	`difference-of-squares`
14×	`distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `div-sub` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `fma-udef` `associate--r-`

Counts

3 → 128

Calls

3 calls:

22.0ms	(- 0.25 (/ (- z x) y))
0.0ms	(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)
16.0ms	(/ (- z x) y)

series390.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- 0.25 (/ (- z x) y))
41.0ms	(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)
324.0ms	(/ (- z x) y)

simplify2.2s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2511
1	597
0	237

prune572.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.25 (/ z y))
0.0b	(+ (- 0.25 (/ z y)) (/ x y))
0.0b	(fma (+ (- 0.25 (/ z y)) (/ x y)) 4.0 1.0)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
78×	`prod-diff`
73×	`add-cube-cbrt`
56×	`times-frac`
41×	`associate-+l+`
10×	`add-log-exp`
6×	`fma-def` `div-inv`
4×	`difference-of-squares`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
2×	`sum-log` `sub-neg` `flip3--` `diff-log` `frac-add` `flip--` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `fma-udef`

Counts

3 → 135

Calls

3 calls:

11.0ms	(- 0.25 (/ z y))
86.0ms	(+ (- 0.25 (/ z y)) (/ x y))
0.0ms	(fma (+ (- 0.25 (/ z y)) (/ x y)) 4.0 1.0)

series76.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 0.25 (/ z y))
19.0ms	(+ (- 0.25 (/ z y)) (/ x y))
37.0ms	(fma (+ (- 0.25 (/ z y)) (/ x y)) 4.0 1.0)

simplify1.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
2	2144
1	542
0	219

prune941.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* (/ z y) 4.0))
0.0b	(* (/ z y) 4.0)
0.0b	(fma (/ x y) 4.0 (- 2.0 (* (/ z y) 4.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv` `flip--`

Counts

3 → 64

Calls

3 calls:

8.0ms	(- 2.0 (* (/ z y) 4.0))
15.0ms	(* (/ z y) 4.0)
0.0ms	(fma (/ x y) 4.0 (- 2.0 (* (/ z y) 4.0)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 2.0 (* (/ z y) 4.0))
26.0ms	(* (/ z y) 4.0)
41.0ms	(fma (/ x y) 4.0 (- 2.0 (* (/ z y) 4.0)))

simplify1.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1293
1	265
0	119

prune407.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))
0.3b	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
0.3b	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
12.4b	(/ (- (* 2.0 (* 2.0 2.0)) (* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))) (+ (* 2.0 2.0) (+ (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* 2.0 (* (/ z y) 4.0)))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

249×	`add-cbrt-cube` `add-exp-log`
237×	`pow1`
155×	`prod-exp` `cbrt-unprod`
103×	`pow-prod-down`
42×	`pow-prod-up`
41×	`cbrt-undiv` `div-exp`
27×	`associate-*l/`
21×	`pow-plus`
20×	`pow-sqr`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
7×	`frac-times`
5×	`pow2` `pow3` `associate-*r/`
4×	`expm1-log1p-u` `difference-cubes` `cube-unmult` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `-commutative`
2×	`swap-sqr` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `flip-+` `div-inv` `flip--`

Counts

4 → 259

Calls

4 calls:

209.0ms	(* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))
75.0ms	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
51.0ms	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
747.0ms	(/ (- (* 2.0 (* 2.0 2.0)) (* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))) (+ (* 2.0 2.0) (+ (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* 2.0 (* (/ z y) 4.0)))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))
46.0ms	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
52.0ms	(* (* (/ z y) 4.0) (* (/ z y) 4.0))
143.0ms	(/ (- (* 2.0 (* 2.0 2.0)) (* (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* (/ z y) 4.0))) (+ (* 2.0 2.0) (+ (* (* (/ z y) 4.0) (* (/ z y) 4.0)) (* 2.0 (* (/ z y) 4.0)))))

simplify2.6s

Counts

271 → 271

Iterations

Iter	Nodes
done	5000
2	4623
1	793
0	234

prune963.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

825.0ms

10020×

body

valid