Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

295×

body

valid

simplify3.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify51.0ms

Counts: 15 → 15

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.2b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

10.0ms	(- x (* (* y 4.0) z))
9.0ms	(sqrt (- x (* (* y 4.0) z)))
10.0ms	(sqrt (- x (* (* y 4.0) z)))
55.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- x (* (* y 4.0) z))
79.0ms	(sqrt (- x (* (* y 4.0) z)))
97.0ms	(sqrt (- x (* (* y 4.0) z)))
81.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify136.0ms

Counts: 111 → 111

prune265.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- x (* (* y 4.0) z))))
0.0b	(sqrt (sqrt (- x (* (* y 4.0) z))))
0.1b	(* (sqrt (sqrt (- x (* (* y 4.0) z)))) (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3))
0.3b	(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
36×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`flip3--` `associate-l` `flip--`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 162

Calls

4 calls:

7.0ms	(sqrt (sqrt (- x (* (* y 4.0) z))))
7.0ms	(sqrt (sqrt (- x (* (* y 4.0) z))))
89.0ms	(* (sqrt (sqrt (- x (* (* y 4.0) z)))) (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3))
23.0ms	(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

319.0ms	(sqrt (sqrt (- x (* (* y 4.0) z))))
298.0ms	(sqrt (sqrt (- x (* (* y 4.0) z))))
78.0ms	(* (sqrt (sqrt (- x (* (* y 4.0) z)))) (pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3))
520.0ms	(pow (sqrt (sqrt (- x (* (* y 4.0) z)))) 3)

simplify65.0ms

Counts: 174 → 174

prune488.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

end0.0ms

sample681.0ms

Algorithm

intervals

Results

301.0ms

9150×

body

valid