Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

325×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	20
1	14
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
5.5b	(* x (+ 1.0 (* y y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+ 1.0 (* y y))
13.0ms	(* x (+ 1.0 (* y y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 1.0 (* y y))
82.0ms	(* x (+ 1.0 (* y y)))

simplify604.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	849
1	189
0	59

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(* y (* x y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

23.0ms

(* y (* x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* y (* x y))

simplify3.3s

Counts

21 → 21

Iterations

Iter	Nodes
done	5001
3	4187
2	392
1	83
0	34

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

5.5b	(* x (* (* (cbrt (+ (* y y) 1.0)) (cbrt (+ (* y y) 1.0))) (cbrt (+ (* y y) 1.0))))
5.6b	(cbrt (+ (* y y) 1.0))
5.6b	(cbrt (+ (* y y) 1.0))
5.6b	(cbrt (+ (* y y) 1.0))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

344.0ms	(* x (* (* (cbrt (+ (* y y) 1.0)) (cbrt (+ (* y y) 1.0))) (cbrt (+ (* y y) 1.0))))
9.0ms	(cbrt (+ (* y y) 1.0))
9.0ms	(cbrt (+ (* y y) 1.0))
9.0ms	(cbrt (+ (* y y) 1.0))

series839.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (* (* (cbrt (+ (* y y) 1.0)) (cbrt (+ (* y y) 1.0))) (cbrt (+ (* y y) 1.0))))
239.0ms	(cbrt (+ (* y y) 1.0))
230.0ms	(cbrt (+ (* y y) 1.0))
301.0ms	(cbrt (+ (* y y) 1.0))

simplify812.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1496
1	443
0	171

prune522.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.6b	(cbrt (- (* y y) 1.0))
9.7b	(/ (* (cbrt (- (pow y 4) (* 1.0 1.0))) (* (* (cbrt (+ (* y y) 1.0)) (cbrt (- (pow y 4) (* 1.0 1.0)))) x)) (* (cbrt (- (* y y) 1.0)) (cbrt (- (* y y) 1.0))))
11.0b	(cbrt (- (pow y 4) (* 1.0 1.0)))
11.0b	(cbrt (- (pow y 4) (* 1.0 1.0)))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-div`
36×	`add-exp-log`
34×	`associate-*l/`
32×	`frac-times`
27×	`flip3--` `flip--`
26×	`associate-/l/`
18×	`add-cbrt-cube`
16×	`cbrt-prod` `prod-exp` `associate-*r/` `cbrt-unprod`
12×	`add-sqr-sqrt`
9×	`flip3-+` `flip-+`
8×	`cbrt-undiv` `div-exp` `associate-/r/`
7×	`*-un-lft-identity` `add-cube-cbrt` `difference-of-squares`
4×	`pow1` `add-log-exp`
3×	`pow1/3`
2×	`unpow-prod-down` `sqr-pow`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (- (* y y) 1.0))
375.0ms	(/ (* (cbrt (- (pow y 4) (* 1.0 1.0))) (* (* (cbrt (+ (* y y) 1.0)) (cbrt (- (pow y 4) (* 1.0 1.0)))) x)) (* (cbrt (- (* y y) 1.0)) (cbrt (- (* y y) 1.0))))
6.0ms	(cbrt (- (pow y 4) (* 1.0 1.0)))
6.0ms	(cbrt (- (pow y 4) (* 1.0 1.0)))

series3.7s

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (- (* y y) 1.0))
558.0ms	(/ (* (cbrt (- (pow y 4) (* 1.0 1.0))) (* (* (cbrt (+ (* y y) 1.0)) (cbrt (- (pow y 4) (* 1.0 1.0)))) x)) (* (cbrt (- (* y y) 1.0)) (cbrt (- (* y y) 1.0))))
1.4s	(cbrt (- (pow y 4) (* 1.0 1.0)))
1.5s	(cbrt (- (pow y 4) (* 1.0 1.0)))

simplify1.9s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	4346
1	809
0	283

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

353.0ms

10690×

body

valid