Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

375×

body

valid

simplify3.0ms

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))

rewrite9.0ms

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))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify65.0ms

Counts: 15 → 15

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite100.0ms

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:

71.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
8.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
9.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
9.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (- (* x x) (* (* y 4.0) z))) (cbrt (- (* x x) (* (* y 4.0) z))))
101.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
101.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
128.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify94.0ms

Counts: 99 → 99

prune392.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))
2.5b	(cbrt (- (* x x) (* (* y 4.0) z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
15.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
9.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
9.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
123.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
115.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))
135.0ms	(cbrt (- (* x x) (* (* y 4.0) z)))

simplify76.0ms

Counts: 64 → 64

prune364.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
3.1b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
29.5b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite274.0ms

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))
130.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
41.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
86.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x x) (* (* y 4.0) z))
45.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
147.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
137.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify87.0ms

Counts: 133 → 133

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

555.0ms

12167×

body

valid