Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	122
1	8	122
2	9	122
done	9	122

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

19.0ms

(/ (+ x 1.0) (- 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify1.0s

Counts

50 → 50

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	93	13888
1	221	12343
2	867	12163
done	5000	11949

prune226.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
0.0b	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
0.0b	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

279×	`*-un-lft-identity`
169×	`times-frac`
146×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
59×	`add-cbrt-cube` `add-exp-log`
52×	`associate-r`
49×	`distribute-lft-out`
48×	`swap-sqr`
41×	`distribute-lft-out--`
30×	`pow1`
29×	`difference-of-squares`
27×	`associate-l`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
12×	`associate-/r/`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`flip3--` `div-inv` `flip--` `unswap-sqr`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `flip3-+` `pow1/3` `rem-cbrt-cube` `flip-+`

Counts

4 → 273

Calls

4 calls:

22.0ms	(/ (+ x 1.0) (- 1.0 x))
132.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
101.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
130.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (+ x 1.0) (- 1.0 x))
94.0ms	(* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x)))
40.0ms	(cbrt (* (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))) (/ (+ x 1.0) (- 1.0 x))))
98.0ms	(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))

simplify1.6s

Counts

285 → 285

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	274	89034
1	989	78766
done	5001	75769

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(* (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))) (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
49×	`frac-times`
43×	`pow1`
40×	`add-exp-log`
29×	`associate-*l/`
28×	`add-cbrt-cube`
27×	`flip3-+` `flip-+`
21×	`prod-exp` `cbrt-unprod`
17×	`pow-prod-down` `associate-*r/`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 129

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
7.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
149.0ms	(* (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))) (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ x 1.0))
149.0ms	(cbrt (+ x 1.0))
122.0ms	(cbrt (+ x 1.0))
259.0ms	(* (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))) (* (cbrt (+ x 1.0)) (/ (+ x 1.0) (- 1.0 x))))

simplify2.5s

Counts

141 → 141

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	216	73889
1	641	57389
2	2792	55714
done	5000	53769

prune755.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	122
1	6	122
done	6	122

end0.0ms

sample531.0ms

Algorithm

intervals

Results

370.0ms

8000×

body

valid