Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	257×	body	80	valid
14.0ms	239×	body	80	nan

simplify2.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)
0.2b	(* (+ y 0.5) (log y))

rewrite220.0ms

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:

8.0ms	(- x (* (+ y 0.5) (log y)))
150.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
36.0ms	(* (+ y 0.5) (log y))

series547.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- x (* (+ y 0.5) (log y)))
76.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
348.0ms	(* (+ y 0.5) (log y))

simplify724.0ms

Counts: 93 → 93

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
0.0b	(+ x (- y (* (log y) (+ 0.5 y))))
0.1b	(- y (* (log y) (+ 0.5 y)))
0.2b	(* (log y) (+ 0.5 y))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

30.0ms	(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
29.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
11.0ms	(- y (* (log y) (+ 0.5 y)))
44.0ms	(* (log y) (+ 0.5 y))

series1.1s

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
59.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
615.0ms	(- y (* (log y) (+ 0.5 y)))
368.0ms	(* (log y) (+ 0.5 y))

simplify801.0ms

Counts: 81 → 81

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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)

rewrite142.0ms

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:

69.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
59.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.4s

Counts

4 → 12

Calls

4 calls:

684.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
1.1s	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
309.0ms	(cbrt y)
285.0ms	(cbrt y)

simplify1.1s

Counts: 120 → 120

prune600.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

31.0ms	(* (log (cbrt y)) (+ y 0.5))
16.0ms	(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series3.2s

Counts

4 → 12

Calls

4 calls:

700.0ms	(* (log (cbrt y)) (+ y 0.5))
1.9s	(+ (* (log (pow y 1/3)) (+ 1.0 (* 2 y))) (* (log (cbrt y)) (+ y 0.5)))
287.0ms	(cbrt y)
279.0ms	(pow y 1/3)

simplify1.1s

Counts: 85 → 85

prune446.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

-0.4% (0.1b remaining)

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

bsearch0.0ms

simplify734.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

661.0ms	8033×	body	80	valid
557.0ms	7739×	body	80	nan
1.0ms	2×	body	640	valid