Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify175.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize23.0ms

Local error

Found 2 expressions with local error:

4.1b	(- (* x x) (* (* y 4.0) y))
32.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

9.0ms	(- (* x x) (* (* y 4.0) y))
33.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- (* x x) (* (* y 4.0) y))
81.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.2s

Counts: 50 → 50

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify18.0ms

Counts: 0 → 0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize25.0ms

Local error

Found 4 expressions with local error:

32.2b	(cbrt (- (* x x) (* (* y 4.0) y)))
32.2b	(cbrt (+ (* x x) (* (* y 4.0) y)))
32.2b	(cbrt (+ (* x x) (* (* y 4.0) y)))
32.2b	(cbrt (+ (* x x) (* (* y 4.0) y)))

rewrite37.0ms

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` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`flip3--` `flip--`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
8.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
8.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
8.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
122.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
120.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))
145.0ms	(cbrt (+ (* x x) (* (* y 4.0) y)))

simplify996.0ms

Counts: 64 → 64

prune352.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify15.0ms

Counts: 0 → 0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.4b

regimes295.0ms

Accuracy

60.4% (12.4b remaining)

Error of 12.7b against oracle of 0.3b and baseline of 31.6b

bsearch141.0ms

Steps

Iters	Range		Point
6	1.1597348101978495e+249	5.0703994296062725e+249	2.9907430160378496e+249
5	9.600010579815207e+26	3.0087790613016053e+27	9.760968977726029e+26
10	5.938433147032313e-06	308757.3173053845	304197.8176477626
8	3.3577067008475017e-271	3.267692464934834e-268	3.7706949557449295e-271

simplify1.4s

end0.0ms

sample831.0ms

Algorithm

intervals

Results

549.0ms

8000×

body

valid