Details

sample55.0ms

Algorithm

intervals

Results

15.0ms	257×	body	80	valid
11.0ms	245×	body	80	nan

simplify82.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--r+`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-r` `associate-l`
2×	`sub-neg` `associate-+l+` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

6.0ms	(- x (* (+ y 0.5) (log y)))
33.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

series470.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- x (* (+ y 0.5) (log y)))
58.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
369.0ms	(* (+ y 0.5) (log y))

simplify33.0ms

Counts: 71 → 71

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

44.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
47.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.1s

Counts

4 → 12

Calls

4 calls:

610.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
944.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
277.0ms	(cbrt y)
262.0ms	(cbrt y)

simplify79.0ms

Counts: 120 → 120

prune475.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

20.0ms	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
17.0ms	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series2.4s

Counts

4 → 12

Calls

4 calls:

1.3s	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
541.0ms	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
270.0ms	(cbrt y)
285.0ms	(pow y 1/3)

simplify59.0ms

Counts: 77 → 77

prune378.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (log (pow y 1/3)) (* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))) (cbrt (+ y (* (+ y 0.5) 2))))
0.3b	(* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-div`
34×	`associate-*r/`
33×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`add-sqr-sqrt`
22×	`cbrt-prod`
21×	`pow1`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-*l/`
12×	`associate-r`
8×	`pow-prod-down` `add-cbrt-cube`
7×	`pow1/3` `associate-l` `prod-exp` `cbrt-unprod`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 127

Calls

4 calls:

164.0ms	(* (* (log (pow y 1/3)) (* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))) (cbrt (+ y (* (+ y 0.5) 2))))
28.0ms	(* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

637.0ms	(* (* (log (pow y 1/3)) (* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))) (cbrt (+ y (* (+ y 0.5) 2))))
151.0ms	(* (cbrt (+ y (* (+ y 0.5) 2))) (cbrt (+ y (* (+ y 0.5) 2))))
254.0ms	(cbrt y)
205.0ms	(pow y 1/3)

simplify86.0ms

Counts: 139 → 139

prune696.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify76.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

911.0ms	8035×	body	80	valid
511.0ms	7990×	body	80	nan
0.0ms	1×	body	1280	valid