Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

361×

body

valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

8.0ms	(+ (* x y) z)
15.0ms	(+ (* (+ (* x y) z) y) t)
26.0ms	(* (+ (* x y) z) y)

series136.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* x y) z)
64.0ms	(+ (* (+ (* x y) z) y) t)
44.0ms	(* (+ (* x y) z) y)

simplify100.0ms

Counts: 51 → 51

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series841.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt y) (cbrt y))
197.0ms	(cbrt y)
198.0ms	(cbrt y)
229.0ms	(cbrt y)

simplify82.0ms

Counts: 85 → 85

prune252.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

53.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))

series510.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
122.0ms	(cbrt (+ (* x y) z))
125.0ms	(cbrt (+ (* x y) z))
122.0ms	(cbrt (+ (* x y) z))

simplify131.0ms

Counts: 99 → 99

prune323.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.4b	(cbrt (* (+ (* x y) z) y))
7.4b	(cbrt (* (+ (* x y) z) y))
7.4b	(cbrt (* (+ (* x y) z) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

35.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
10.0ms	(cbrt (* (+ (* x y) z) y))
15.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series606.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
144.0ms	(cbrt (* (+ (* x y) z) y))
137.0ms	(cbrt (* (+ (* x y) z) y))
145.0ms	(cbrt (* (+ (* x y) z) y))

simplify141.0ms

Counts: 84 → 84

prune302.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample955.0ms

Algorithm

intervals

Results

410.0ms

11434×

body

valid