Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify277.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

27.0ms	(+ (* (- 1.0 x) y) (* x z))
35.0ms	(* (- 1.0 x) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* (- 1.0 x) y) (* x z))
38.0ms	(* (- 1.0 x) y)

simplify1.0s

Counts: 39 → 39

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))
0.5b	(cbrt (+ (* (- 1.0 x) y) (* x z)))

rewrite171.0ms

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:

120.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
15.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
23.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
10.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

310.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))
258.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
282.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
233.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))

simplify662.0ms

Counts: 99 → 99

prune446.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
0.6b	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
0.6b	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

134.0ms	(* (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
14.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
17.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
21.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))

series1.0s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))) (cbrt (cbrt (+ (* (- 1.0 x) y) (* x z)))))
240.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
230.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))
231.0ms	(cbrt (cbrt (+ (* (- 1.0 x) y) (* x z))))

simplify615.0ms

Counts: 122 → 122

prune555.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.6b	(* (- (* 1.0 1.0) (* x x)) y)
6.4b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

56.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
38.0ms	(* (- (* 1.0 1.0) (* x x)) y)
27.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series212.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
51.0ms	(* (- (* 1.0 1.0) (* x x)) y)
79.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify869.0ms

Counts: 68 → 68

prune207.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify237.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

785.0ms

10106×

body

valid