Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	18
4	18
3	17
2	14
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (* x 100.0) (+ x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `times-frac`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

26.0ms

(/ (* x 100.0) (+ x y))

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(/ (* x 100.0) (+ x y))

simplify488.0ms

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
2	878
1	167
0	60

prune147.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(log1p (expm1 (* (/ x (+ y x)) 100.0)))
0.1b	(expm1 (* (/ x (+ y x)) 100.0))
0.1b	(* (/ x (+ y x)) 100.0)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(/ x (+ y x))
0.0ms	(log1p (expm1 (* (/ x (+ y x)) 100.0)))
0.0ms	(expm1 (* (/ x (+ y x)) 100.0))
41.0ms	(* (/ x (+ y x)) 100.0)

series452.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x (+ y x))
142.0ms	(log1p (expm1 (* (/ x (+ y x)) 100.0)))
174.0ms	(expm1 (* (/ x (+ y x)) 100.0))
85.0ms	(* (/ x (+ y x)) 100.0)

simplify793.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	1247
1	296
0	126

prune434.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ y x) x)
0.1b	(/ (/ (+ y x) x) 100.0)
0.2b	(/ 1 (/ (/ (+ y x) x) 100.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

600×	`times-frac`
382×	`*-un-lft-identity`
278×	`add-sqr-sqrt` `add-cube-cbrt`
58×	`associate-/r*`
52×	`distribute-lft-out`
31×	`add-exp-log`
23×	`div-inv` `associate-/l*`
19×	`add-cbrt-cube` `div-exp`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 357

Calls

3 calls:

18.0ms	(/ (+ y x) x)
20.0ms	(/ (/ (+ y x) x) 100.0)
23.0ms	(/ 1 (/ (/ (+ y x) x) 100.0))

series124.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (+ y x) x)
40.0ms	(/ (/ (+ y x) x) 100.0)
63.0ms	(/ 1 (/ (/ (+ y x) x) 100.0))

simplify892.0ms

Counts

366 → 366

Iterations

Iter	Nodes
done	5000
1	1294
0	445

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ y x))
0.0b	(/ 100.0 (- x y))
0.1b	(* (/ x (+ y x)) (/ 100.0 (- x y)))
7.7b	(* (* (/ x (+ y x)) (/ 100.0 (- x y))) (- x y))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
58×	`times-frac`
53×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
26×	`associate-r`
19×	`associate-l`
18×	`prod-diff`
13×	`prod-exp` `cbrt-unprod`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in`
10×	`frac-times` `cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
7×	`associate-*l/` `distribute-lft-out`
6×	`flip3--` `associate-r/` `flip--` `associate-/l`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `*-commutative` `flip-+`

Counts

4 → 200

Calls

4 calls:

9.0ms	(/ x (+ y x))
9.0ms	(/ 100.0 (- x y))
67.0ms	(* (/ x (+ y x)) (/ 100.0 (- x y)))
113.0ms	(* (* (/ x (+ y x)) (/ 100.0 (- x y))) (- x y))

series300.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (+ y x))
59.0ms	(/ 100.0 (- x y))
118.0ms	(* (/ x (+ y x)) (/ 100.0 (- x y)))
63.0ms	(* (* (/ x (+ y x)) (/ 100.0 (- x y))) (- x y))

simplify484.0ms

Counts

212 → 212

Iterations

Iter	Nodes
done	5001
1	896
0	281

prune957.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample617.0ms

Algorithm

intervals

Results

300.0ms

8000×

body

valid