Details

sample55.0ms

Algorithm

intervals

Results

20.0ms

355×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
5	60
4	57
3	41
2	20
1	12
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.1b	(* (+ (* x y) z) y)

rewrite68.0ms

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-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

12.0ms	(+ (* (+ (* x y) z) y) t)
55.0ms	(* (+ (* x y) z) y)

series185.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(+ (* (+ (* x y) z) y) t)
64.0ms	(* (+ (* x y) z) y)

simplify679.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
2	903
1	191
0	70

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
6.6b	(cbrt (* (+ (* x y) z) y))
6.6b	(cbrt (* (+ (* x y) z) y))
6.6b	(cbrt (* (+ (* x y) z) y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

60.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
15.0ms	(cbrt (* (+ (* x y) z) y))
26.0ms	(cbrt (* (+ (* x y) z) y))
17.0ms	(cbrt (* (+ (* x y) z) y))

series919.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
197.0ms	(cbrt (* (+ (* x y) z) y))
246.0ms	(cbrt (* (+ (* x y) z) y))
254.0ms	(cbrt (* (+ (* x y) z) y))

simplify887.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1204
1	377
0	152

prune690.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z (* x y)))
0.6b	(cbrt y)
6.6b	(cbrt (* (+ (* x y) z) y))
6.6b	(cbrt (* (+ (* x y) z) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-*l/` `add-exp-log` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt (+ z (* x y)))
1.0ms	(cbrt y)
22.0ms	(cbrt (* (+ (* x y) z) y))
13.0ms	(cbrt (* (+ (* x y) z) y))

series944.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (+ z (* x y)))
319.0ms	(cbrt y)
193.0ms	(cbrt (* (+ (* x y) z) y))
207.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	4691
2	1005
1	340
0	149

prune544.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (* (+ (* x y) z) y))
6.6b	(cbrt (* y (+ z (* y x))))
6.6b	(cbrt (* y (+ z (* y x))))
6.6b	(cbrt (* y (+ z (* y x))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div`
6×	`associate-*r/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `flip-+` `add-log-exp`
2×	`associate-*l/`

Counts

4 → 44

Calls

4 calls:

15.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* y (+ z (* y x))))
5.0ms	(cbrt (* y (+ z (* y x))))
5.0ms	(cbrt (* y (+ z (* y x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (* (+ (* x y) z) y))
309.0ms	(cbrt (* y (+ z (* y x))))
302.0ms	(cbrt (* y (+ z (* y x))))
311.0ms	(cbrt (* y (+ z (* y x))))

simplify3.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5003
3	3757
2	783
1	260
0	108

prune540.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes469.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

632.0ms

11335×

body

valid