Details

sample167.0ms

Algorithm

intervals

Results

24.0ms	256×	body	80	valid
19.0ms	250×	body	80	nan

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune765.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
45×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

3 → 97

Calls

3 calls:

33.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms	(/ (- 1.0 x) (+ 1.0 x))
2.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series472.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
275.0ms	(/ (- 1.0 x) (+ 1.0 x))
20.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1459
1	370
0	168

prune565.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0)))
0.0b	(* (- 1.0 x) (+ x 1.0))
0.0b	(atan (sqrt (* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))))
0.0b	(* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

27.0ms	(/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0)))
52.0ms	(* (- 1.0 x) (+ x 1.0))
1.0ms	(atan (sqrt (* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))))
103.0ms	(* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))

series196.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0)))
101.0ms	(* (- 1.0 x) (+ x 1.0))
5.0ms	(atan (sqrt (* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))))
49.0ms	(* (/ (- 1.0 x) (* (- 1.0 x) (+ x 1.0))) (- 1.0 x))

simplify616.0ms

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
1	773
0	242

prune873.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

54.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))

series521.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))
114.0ms	(cbrt (+ x 1.0))
103.0ms	(cbrt (+ 1.0 x))
136.0ms	(cbrt (+ 1.0 x))

simplify813.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	1473
1	388
0	167

prune895.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

624.0ms	8000×	body	80	valid
581.0ms	8142×	body	80	nan