Details

sample54.0ms

Algorithm

intervals

Results

32.0ms

416×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4383
6	1002
5	377
4	203
3	110
2	59
1	23
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* (/ (+ z x) y) (- x z)))
0.0b	(/ (+ z x) y)
0.2b	(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
0.2b	(* (/ (+ z x) y) (- x z))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`prod-diff`
34×	`times-frac`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out` `associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `associate-/l/`
3×	`cbrt-undiv` `fma-def` `flip3-+` `div-exp` `flip-+` `div-inv`
2×	`frac-times` `clear-num` `frac-2neg` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 169

Calls

4 calls:

10.0ms	(+ y (* (/ (+ z x) y) (- x z)))
17.0ms	(/ (+ z x) y)
36.0ms	(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
74.0ms	(* (/ (+ z x) y) (- x z))

series303.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ y (* (/ (+ z x) y) (- x z)))
26.0ms	(/ (+ z x) y)
105.0ms	(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
103.0ms	(* (/ (+ z x) y) (- x z))

simplify1.7s

Counts

181 → 181

Iterations

Iter	Nodes
done	5001
2	4025
1	724
0	272

prune906.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ z x) y)
0.0b	(/ (+ z x) y)
0.1b	(fma (- x z) (/ (+ z x) y) y)
0.2b	(/ (+ (fma (- x z) (/ (+ z x) y) y) (* (/ (+ z x) y) (fma (- z) 1 (* z 1)))) 2.0)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
8×	`distribute-lft-out`
6×	`associate-/l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`fma-udef`

Counts

4 → 111

Calls

4 calls:

16.0ms	(/ (+ z x) y)
16.0ms	(/ (+ z x) y)
0.0ms	(fma (- x z) (/ (+ z x) y) y)
24.0ms	(/ (+ (fma (- x z) (/ (+ z x) y) y) (* (/ (+ z x) y) (fma (- z) 1 (* z 1)))) 2.0)

series3.8s

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (+ z x) y)
25.0ms	(/ (+ z x) y)
86.0ms	(fma (- x z) (/ (+ z x) y) y)
3.7s	(/ (+ (fma (- x z) (/ (+ z x) y) y) (* (/ (+ z x) y) (fma (- z) 1 (* z 1)))) 2.0)

simplify837.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1386
1	339
0	149

prune881.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (+ z x) y)) (cbrt (/ (+ z x) y)))
5.7b	(cbrt (/ (+ z x) y))
5.7b	(cbrt (/ (+ z x) y))
5.7b	(cbrt (/ (+ z x) y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

77.0ms	(* (cbrt (/ (+ z x) y)) (cbrt (/ (+ z x) y)))
4.0ms	(cbrt (/ (+ z x) y))
5.0ms	(cbrt (/ (+ z x) y))
5.0ms	(cbrt (/ (+ z x) y))

series759.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (/ (+ z x) y)) (cbrt (/ (+ z x) y)))
158.0ms	(cbrt (/ (+ z x) y))
206.0ms	(cbrt (/ (+ z x) y))
168.0ms	(cbrt (/ (+ z x) y))

simplify1.1s

Counts

188 → 188

Iterations

Iter	Nodes
done	5001
2	1547
1	395
0	199

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize134.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ x z)) (cbrt (+ x z)))
1.8b	(cbrt (/ (cbrt (+ z x)) y))
5.7b	(cbrt (/ (+ z x) y))
5.7b	(cbrt (/ (+ x z) y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
74×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
45×	`times-frac`
42×	`add-cube-cbrt`
15×	`cbrt-div` `distribute-lft-out`
11×	`pow1`
9×	`pow1/3` `swap-sqr`
7×	`associate-r` `associate-l`
6×	`flip3-+` `add-exp-log` `flip-+`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 145

Calls

4 calls:

39.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
5.0ms	(cbrt (/ (cbrt (+ z x)) y))
4.0ms	(cbrt (/ (+ z x) y))
4.0ms	(cbrt (/ (+ x z) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (+ x z)) (cbrt (+ x z)))
472.0ms	(cbrt (/ (cbrt (+ z x)) y))
149.0ms	(cbrt (/ (+ z x) y))
134.0ms	(cbrt (/ (+ x z) y))

simplify1.9s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2519
1	695
0	345

prune1.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes332.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
2	22
1	21
0	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

13676×

body

valid