Details

sample64.0ms

Algorithm

intervals

Results

26.0ms	257×	body	80	valid
11.0ms	232×	body	80	nan

simplify84.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y (/ 1.0 2.0)) (log y))) y)
0.1b	(* (+ y (/ 1.0 2.0)) (log y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

23.0ms	(+ (- x (* (+ y (/ 1.0 2.0)) (log y))) y)
51.0ms	(* (+ y (/ 1.0 2.0)) (log y))

series441.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (- x (* (+ y (/ 1.0 2.0)) (log y))) y)
368.0ms	(* (+ y (/ 1.0 2.0)) (log y))

simplify41.0ms

Counts: 50 → 50

prune146.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- y (* (log y) (+ y (/ 1.0 2.0)))))
0.1b	(* (log y) (+ y (/ 1.0 2.0)))
0.1b	(- y (* (log y) (+ y (/ 1.0 2.0))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

14.0ms	(+ x (- y (* (log y) (+ y (/ 1.0 2.0)))))
60.0ms	(* (log y) (+ y (/ 1.0 2.0)))
6.0ms	(- y (* (log y) (+ y (/ 1.0 2.0))))

series1.1s

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (- y (* (log y) (+ y (/ 1.0 2.0)))))
373.0ms	(* (log y) (+ y (/ 1.0 2.0)))
691.0ms	(- y (* (log y) (+ y (/ 1.0 2.0))))

simplify47.0ms

Counts: 63 → 63

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y (/ 1.0 2.0))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite153.0ms

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:

70.0ms	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
68.0ms	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y (/ 1.0 2.0))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.5s

Counts

4 → 12

Calls

4 calls:

705.0ms	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
1.2s	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y (/ 1.0 2.0))))
298.0ms	(cbrt y)
294.0ms	(cbrt y)

simplify78.0ms

Counts: 120 → 120

prune692.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y (/ 1.0 2.0))))
0.5b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
32×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `add-cube-cbrt`
27×	`cbrt-prod`
24×	`associate-+l+`
14×	`add-exp-log`
13×	`unpow-prod-down`
11×	`pow1`
9×	`times-frac` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add` `pow-exp`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `div-inv` `distribute-lft-out` `inv-pow` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

106.0ms	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
62.0ms	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y (/ 1.0 2.0))))
13.0ms	(cbrt y)
15.0ms	(pow (/ 1 y) -1/3)

series3.3s

Counts

4 → 12

Calls

4 calls:

623.0ms	(* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y))))
2.0s	(+ (* (+ y (/ 1.0 2.0)) (* 2 (log (cbrt y)))) (* (log (pow (/ 1 y) -1/3)) (+ y (/ 1.0 2.0))))
338.0ms	(cbrt y)
296.0ms	(pow (/ 1 y) -1/3)

simplify106.0ms

Counts: 141 → 141

prune861.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify73.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s	8028×	body	80	valid
436.0ms	8082×	body	80	nan
0.0ms	1×	body	640	valid