Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

328×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1773
4	518
3	179
2	65
1	21
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
5.9b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

37.0ms	(* (- 1.0 x) (- 3.0 x))
36.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series140.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (- 1.0 x) (- 3.0 x))
105.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	3889
1	544
0	188

prune396.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 y) (* 1.3333333333333333 (/ x y)))
0.1b	(fma (/ x (/ y x)) 0.3333333333333333 (- (/ 1.0 y) (* 1.3333333333333333 (/ x y))))
0.2b	(/ x (/ y x))
0.2b	(* 1.3333333333333333 (/ x y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

24.0ms	(- (/ 1.0 y) (* 1.3333333333333333 (/ x y)))
1.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (- (/ 1.0 y) (* 1.3333333333333333 (/ x y))))
17.0ms	(/ x (/ y x))
27.0ms	(* 1.3333333333333333 (/ x y))

series293.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (/ 1.0 y) (* 1.3333333333333333 (/ x y)))
101.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (- (/ 1.0 y) (* 1.3333333333333333 (/ x y))))
42.0ms	(/ x (/ y x))
51.0ms	(* 1.3333333333333333 (/ x y))

simplify2.0s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
2	3758
1	711
0	279

prune976.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(/ (- 1.0 x) y)
0.2b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 144

Calls

3 calls:

26.0ms	(/ (- 3.0 x) 3.0)
15.0ms	(/ (- 1.0 x) y)
51.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series233.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (- 3.0 x) 3.0)
59.0ms	(/ (- 1.0 x) y)
92.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.1s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	3325
1	590
0	208

prune691.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b	(/ (* y 3.0) (- 3.0 x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
68×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
15×	`associate-/r/`
8×	`flip3--` `div-inv` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 122

Calls

2 calls:

38.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
22.0ms	(/ (* y 3.0) (- 3.0 x))

series133.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
61.0ms	(/ (* y 3.0) (- 3.0 x))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	3586
1	699
0	231

prune492.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes114.0ms

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	13
1	13
0	12

end0.0ms

sample837.0ms

Algorithm

intervals

Results

566.0ms

10601×

body

valid