Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

306×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4468
13	1561
12	595
11	277
10	170
9	166
8	148
7	120
6	86
5	74
4	60
3	45
2	30
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* x (+ (/ x y) 1.0))
11.8b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`fma-def` `times-frac`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `flip3-+` `associate-r` `associate-r/` `flip-+` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

14.0ms	(+ (/ x y) 1.0)
40.0ms	(* x (+ (/ x y) 1.0))
27.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series94.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (/ x y) 1.0)
30.0ms	(* x (+ (/ x y) 1.0))
51.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1928
1	339
0	112

prune446.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
22×	`associate-r`
19×	`distribute-lft-out`
13×	`fma-def`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `flip3-+` `associate-/r/` `flip-+` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 112

Calls

3 calls:

14.0ms	(+ (/ x y) 1.0)
42.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
60.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (/ x y) 1.0)
35.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
50.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1926
1	385
0	137

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b	(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
155×	`times-frac`
79×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`distribute-lft-out`
26×	`associate-/r*`
13×	`fma-def`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

3 → 177

Calls

3 calls:

14.0ms	(+ (/ x y) 1.0)
38.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
47.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series175.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (/ x y) 1.0)
58.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
97.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.5s

Counts

186 → 186

Iterations

Iter	Nodes
done	5001
2	3179
1	580
0	216

prune669.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (/ 1 y) 1.0)
0.1b	(/ (fma x (/ 1 y) 1.0) (+ x 1.0))
0.1b	(* x (/ (fma x (/ 1 y) 1.0) (+ x 1.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow1`
4×	`associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `fma-udef`

Counts

3 → 84

Calls

3 calls:

0.0ms	(fma x (/ 1 y) 1.0)
15.0ms	(/ (fma x (/ 1 y) 1.0) (+ x 1.0))
31.0ms	(* x (/ (fma x (/ 1 y) 1.0) (+ x 1.0)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(fma x (/ 1 y) 1.0)
52.0ms	(/ (fma x (/ 1 y) 1.0) (+ x 1.0))
65.0ms	(* x (/ (fma x (/ 1 y) 1.0) (+ x 1.0)))

simplify995.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1411
1	320
0	126

prune362.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample670.0ms

Algorithm

intervals

Results

489.0ms

9118×

body

valid