Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
13.0ms	251×	body	80	nan

simplify1.9s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite284.0ms

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:

202.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
13.0ms	(- x (* (+ y 0.5) (log y)))
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
42.0ms	(* (+ y 0.5) (log y))

series516.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(- x (* (+ y 0.5) (log y)))
58.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
317.0ms	(* (+ y 0.5) (log y))

simplify674.0ms

Counts: 93 → 93

prune294.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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	(* (log y) (+ 0.5 y))
0.1b	(- y (* (log y) (+ 0.5 y)))

rewrite99.0ms

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:

28.0ms	(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
20.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
32.0ms	(* (log y) (+ 0.5 y))
15.0ms	(- y (* (log y) (+ 0.5 y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* 1 (+ x (- y (* (log y) (+ 0.5 y))))) z)
78.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
374.0ms	(* (log y) (+ 0.5 y))
690.0ms	(- y (* (log y) (+ 0.5 y)))

simplify884.0ms

Counts: 81 → 81

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`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 → 73

Calls

4 calls:

22.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt y) (cbrt y))
284.0ms	(cbrt y)
297.0ms	(cbrt y)
286.0ms	(cbrt y)

simplify985.0ms

Counts: 85 → 85

prune429.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow (/ 1 y) -2/3)) (+ y 0.5))
0.2b	(- (- x (* (log (pow (/ 1 y) -2/3)) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
5.9b	(pow (/ 1 y) -2/3)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac` `add-log-exp`
8×	`pow1`
6×	`associate-*r/` `add-cbrt-cube`
4×	`associate-r` `associate-l` `pow-exp` `frac-sub`
3×	`cbrt-prod` `pow-unpow` `flip3--` `pow-pow` `flip3-+` `diff-log` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `associate--l+` `associate--r+`
1×	`associate--l-` `pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

28.0ms	(* (log (pow (/ 1 y) -2/3)) (+ y 0.5))
57.0ms	(- (- x (* (log (pow (/ 1 y) -2/3)) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
14.0ms	(pow (/ 1 y) -2/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

673.0ms	(* (log (pow (/ 1 y) -2/3)) (+ y 0.5))
201.0ms	(- (- x (* (log (pow (/ 1 y) -2/3)) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
326.0ms	(cbrt y)
289.0ms	(pow (/ 1 y) -2/3)

simplify1.4s

Counts: 101 → 101

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

-0.1% (0.1b remaining)

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

bsearch0.0ms

simplify911.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

966.0ms	8034×	body	80	valid
637.0ms	7976×	body	80	nan
1.0ms	2×	body	1280	valid