Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	259×	body	80	valid
7.0ms	238×	body	80	nan

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (log (/ x y)))
13.2b	(log (/ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
27×	`add-sqr-sqrt` `times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
13×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log`
6×	`pow1`
4×	`associate-r` `add-cbrt-cube`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow` `add-log-exp`
1×	`log-div` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 69

Calls

2 calls:

21.0ms	(* x (log (/ x y)))
5.0ms	(log (/ x y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* x (log (/ x y)))
53.0ms	(log (/ x y))

simplify46.0ms

Counts: 75 → 75

prune196.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt y)
280.0ms	(cbrt y)
257.0ms	(cbrt x)
284.0ms	(cbrt x)

simplify106.0ms

Counts: 56 → 56

prune293.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.4b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
23.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt x)
206.0ms	(cbrt x)
230.0ms	(cbrt x)
139.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify84.0ms

Counts: 64 → 64

prune316.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series991.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt y)
238.0ms	(cbrt x)
266.0ms	(cbrt x)
251.0ms	(cbrt x)

simplify91.0ms

Counts: 56 → 56

prune233.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

88.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.2b

bsearch46.0ms

Steps

Iters	Range		Point
7	-1.984046222069077e-309	2.6417498889939436e-306	8.7428228103164e-311

simplify75.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

423.0ms	8042×	body	80	valid
305.0ms	7984×	body	80	nan