Details

sample58.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
9.0ms	247×	body	80	nan

simplify2.0s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

11.0ms	(- x (* (+ y 0.5) (log y)))
191.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
35.0ms	(* (+ y 0.5) (log y))

series644.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- x (* (+ y 0.5) (log y)))
84.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
81.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
417.0ms	(* (+ y 0.5) (log y))

simplify837.0ms

Counts: 93 → 93

prune383.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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

rewrite154.0ms

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:

76.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
64.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.7s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (+ y 0.5) (* 2 (log (cbrt y))))
1.1s	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
277.0ms	(cbrt y)
286.0ms	(cbrt y)

simplify1.1s

Counts: 120 → 120

prune604.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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

series1.1s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt y)
249.0ms	(cbrt y)
309.0ms	(cbrt y)
284.0ms	(cbrt y)

simplify1.5s

Counts: 56 → 56

prune411.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.5 (* 3 y))
0.1b	(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
0.3b	(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
5.0b	(pow y 1/3)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ 1.5 (* 3 y))
35.0ms	(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
30.0ms	(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
5.0ms	(pow y 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 1.5 (* 3 y))
100.0ms	(+ (- x (* (log (pow y 1/3)) (+ 1.5 (* 3 y)))) y)
622.0ms	(* (log (pow y 1/3)) (+ 1.5 (* 3 y)))
264.0ms	(pow y 1/3)

simplify856.0ms

Counts: 80 → 80

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0.6% (0.1b remaining)

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

bsearch0.0ms

simplify4.4s

end0.0ms

sample1.8s

Algorithm

intervals

Results

579.0ms	8039×	body	80	valid
507.0ms	8176×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	2×	body	320	valid