Details

sample137.0ms

Algorithm

intervals

Results

25.0ms	687×	body	80	nan
7.0ms	256×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

62.0ms

(* (sqrt (- x 1.0)) (sqrt x))

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(* (sqrt (- x 1.0)) (sqrt x))

simplify71.0ms

Counts: 37 → 37

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))
0.5b	(cbrt (- x 1.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

44.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))

series439.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
101.0ms	(cbrt (- x 1.0))
107.0ms	(cbrt (- x 1.0))
105.0ms	(cbrt (- x 1.0))

simplify39.0ms

Counts: 113 → 113

prune334.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (- x 1.0)) (sqrt x))
0.5b	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
0.5b	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
0.5b	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

32.0ms	(* (sqrt (- x 1.0)) (sqrt x))
11.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
11.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
11.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (sqrt (- x 1.0)) (sqrt x))
159.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
156.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))
155.0ms	(cbrt (* (sqrt (- x 1.0)) (sqrt x)))

simplify123.0ms

Counts: 79 → 79

prune244.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	23560×	body	80	nan
340.0ms	7997×	body	80	valid
0.0ms	3×	body	160	valid