Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

400×

body

valid

simplify4.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- (* x x) (* (* y 4.0) z))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(- (* x x) (* (* y 4.0) z))

simplify63.0ms

Counts: 15 → 15

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))
3.9b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite76.0ms

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:

55.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
6.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
111.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
112.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
112.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify134.0ms

Counts: 99 → 99

prune282.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.2b	(* (* (* y 4.0) z) (* (* y 4.0) z))
1.4b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
31.1b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
9×	`pow-sqr` `pow-prod-up`
5×	`distribute-lft-out`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow-plus` `associate-/r*` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+l-` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 121

Calls

4 calls:

9.0ms	(+ (* x x) (* (* y 4.0) z))
93.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
25.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
59.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x x) (* (* y 4.0) z))
41.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
121.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
116.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify78.0ms

Counts: 133 → 133

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (* (* y 4.0) z))
1.4b	(+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4))
4.3b	(* (* y 4.0) (* z (* (* y 4.0) z)))
31.1b	(/ (+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `add-cbrt-cube`
45×	`pow1`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-l` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`neg-sub0` `associate-+l-` `associate-r` `sum-log` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-sub` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 105

Calls

4 calls:

46.0ms	(* z (* (* y 4.0) z))
30.0ms	(+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4))
134.0ms	(* (* y 4.0) (* z (* (* y 4.0) z)))
64.0ms	(/ (+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* z (* (* y 4.0) z))
118.0ms	(+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4))
41.0ms	(* (* y 4.0) (* z (* (* y 4.0) z)))
114.0ms	(/ (+ (- (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify85.0ms

Counts: 117 → 117

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample881.0ms

Algorithm

intervals

Results

418.0ms

12306×

body

valid