Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

354×

body

valid

simplify30.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

16.0ms	(+ (* (+ (* x y) z) y) t)
30.0ms	(* (+ (* x y) z) y)

series119.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (* (+ (* x y) z) y) t)
46.0ms	(* (+ (* x y) z) y)

simplify1.5s

Counts: 37 → 37

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.5b	(cbrt (* (+ (* x y) z) y))
5.5b	(cbrt (* (+ (* x y) z) y))
5.5b	(cbrt (* (+ (* x y) z) y))

rewrite116.0ms

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:

73.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
16.0ms	(cbrt (* (+ (* x y) z) y))
12.0ms	(cbrt (* (+ (* x y) z) y))
12.0ms	(cbrt (* (+ (* x y) z) y))

series888.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
225.0ms	(cbrt (* (+ (* x y) z) y))
229.0ms	(cbrt (* (+ (* x y) z) y))
221.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.2s

Counts: 84 → 84

prune428.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt (* (+ (* x y) z) y)) 6)
5.5b	(cbrt (* (+ (* x y) z) y))
5.5b	(cbrt (* (+ (* x y) z) y))
27.0b	(cbrt (pow (cbrt (* (+ (* x y) z) y)) 6))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 57

Calls

4 calls:

14.0ms	(pow (cbrt (* (+ (* x y) z) y)) 6)
23.0ms	(cbrt (* (+ (* x y) z) y))
23.0ms	(cbrt (* (+ (* x y) z) y))
13.0ms	(cbrt (pow (cbrt (* (+ (* x y) z) y)) 6))

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(pow (cbrt (* (+ (* x y) z) y)) 6)
297.0ms	(cbrt (* (+ (* x y) z) y))
262.0ms	(cbrt (* (+ (* x y) z) y))
304.0ms	(cbrt (pow (cbrt (* (+ (* x y) z) y)) 6))

simplify1.3s

Counts: 69 → 69

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.5b	(- (* (* x y) (* x y)) (* z z))
6.5b	(* (- (* (* x y) (* x y)) (* z z)) y)
16.5b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-l`
4×	`flip3--` `associate-r` `associate-*l/` `pow-sqr` `pow-prod-up` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

42.0ms	(* (* x y) (* x y))
45.0ms	(- (* (* x y) (* x y)) (* z z))
138.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
81.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series496.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* x y) (* x y))
114.0ms	(- (* (* x y) (* x y)) (* z z))
161.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
150.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify1.3s

Counts: 105 → 105

prune319.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify38.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

592.0ms

11264×

body

valid