Details

sample302.0ms

Algorithm

intervals

Results

121.0ms	1020×	body	80	nan
45.0ms	302×	body	80	valid

simplify64.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.0b	(+ (+ (* x (log y)) z) t)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite629.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
12×	`add-cube-cbrt` `log-prod`
10×	`pow1`
9×	`sum-log`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`distribute-lft-out`
2×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

187.0ms	(+ (+ (+ (* x (log y)) z) t) a)
54.0ms	(+ (+ (* x (log y)) z) t)
375.0ms	(* (- b 0.5) (log c))
11.0ms	(* x (log y))

series292.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (+ (+ (* x (log y)) z) t) a)
66.0ms	(+ (+ (* x (log y)) z) t)
69.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify48.0ms

Counts: 96 → 96

prune539.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series850.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* x (log (cbrt y)))
140.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
317.0ms	(cbrt y)
236.0ms	(cbrt y)

simplify40.0ms

Counts: 114 → 114

prune873.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
11.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

354.0ms	(cbrt y)
330.0ms	(cbrt y)
264.0ms	(cbrt y)
432.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify66.0ms

Counts: 54 → 54

prune733.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y)))))
0.6b	(cbrt y)
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

51.0ms	(* x (+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y)))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series1.1s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* x (+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y)))))
321.0ms	(cbrt y)
254.0ms	(cbrt (sqrt y))
195.0ms	(cbrt (sqrt y))

simplify117.0ms

Counts: 73 → 73

prune771.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes941.0ms

Accuracy

-4.1% (0.1b remaining)

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

bsearch0.0ms

simplify105.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.0s	28184×	body	80	nan
2.2s	9225×	body	80	valid
1.0ms	1×	body	1280	valid
1.0ms	1×	body	320	valid