Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid

simplify117.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

32.0ms

(+ x (/ (- x y) 2.0))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(+ x (/ (- x y) 2.0))

simplify1.3s

Counts: 16 → 16

prune32.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `flip3-+` `times-frac` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out`

Counts

1 → 20

Calls

1 calls:

99.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

simplify675.0ms

Counts: 23 → 23

prune60.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite958.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
65×	`cbrt-prod`
58×	`add-sqr-sqrt`
52×	`cbrt-div`
26×	`frac-sub`
22×	`distribute-lft-out--`
16×	`frac-times` `swap-sqr`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
13×	`flip3--` `flip3-+` `flip--` `flip-+`
11×	`pow1` `distribute-lft-out`
10×	`associate-r` `associate-l`
9×	`pow1/3`
7×	`times-frac`
6×	`add-exp-log`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

476.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
67.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
356.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
51.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))) (cbrt (- (+ x (/ x 2.0)) (/ y 2.0))))
503.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
546.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
493.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify1.4s

Counts: 151 → 151

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
0.6b	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-div`
8×	`add-cube-cbrt` `frac-sub` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `flip3--` `flip3-+` `times-frac` `pow1/3` `add-cbrt-cube` `flip--` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

44.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
44.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
43.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
48.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

548.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
478.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
518.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))
521.0ms	(cbrt (- (+ x (/ x 2.0)) (/ y 2.0)))

simplify644.0ms

Counts: 88 → 88

prune369.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify92.0ms

end0.0ms

sample541.0ms

Algorithm

intervals

Results

270.0ms	7367×	body	80	valid
25.0ms	241×	body	1280	valid
14.0ms	170×	body	640	valid
10.0ms	87×	body	2560	valid
6.0ms	95×	body	320	valid
2.0ms	42×	body	160	valid