Details

sample61.0ms

Algorithm

intervals

Results

27.0ms

477×

body

valid

simplify956.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.0b	(* (* y 4.0) (- (* z z) t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `sub-neg`
4×	`distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r*` `associate--r+`
3×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

8.0ms	(- (* z z) t)
10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
40.0ms	(* (* y 4.0) (- (* z z) t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(- (* z z) t)
108.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
65.0ms	(* (* y 4.0) (- (* z z) t))

simplify608.0ms

Counts: 63 → 63

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
8.7b	(* (* y 4.0) (* z z))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `distribute-rgt-neg-out`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

55.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
88.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
37.0ms	(* (* y 4.0) (* z z))

series289.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
125.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
44.0ms	(* (* y 4.0) (* z z))

simplify888.0ms

Counts: 62 → 62

prune202.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.2b	(* (* (* y 4.0) z) z)

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `distribute-rgt-neg-out`
3×	`associate-r`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

81.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
202.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
82.0ms	(* (* (* y 4.0) z) z)

series220.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
88.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
43.0ms	(* (* (* y 4.0) z) z)

simplify882.0ms

Counts: 60 → 60

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series957.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt z) (cbrt z))
211.0ms	(cbrt z)
257.0ms	(cbrt z)
229.0ms	(cbrt z)

simplify801.0ms

Counts: 85 → 85

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

-6866.8% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.1s

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

15606×

body

valid