Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	257×	body	80	valid
12.0ms	276×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1007
3	189
2	61
1	21
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite207.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `diff-log` `add-exp-log` `associate--r+`
4×	`sum-log` `associate-r` `associate-l`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

146.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(- x (* (+ y 0.5) (log y)))
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms	(* (+ y 0.5) (log y))

series641.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
65.0ms	(- x (* (+ y 0.5) (log y)))
72.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
440.0ms	(* (+ y 0.5) (log y))

simplify942.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	1813
1	464
0	173

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.2b	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

22.0ms	(* (+ y 0.5) (log (cbrt y)))
45.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

578.0ms	(* (+ y 0.5) (log (cbrt y)))
115.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (+ y 0.5) (log (cbrt y))))
248.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2545
1	563
0	185

prune713.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

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

series1.4s

Counts

4 → 12

Calls

4 calls:

411.0ms	(cbrt (cbrt y))
369.0ms	(cbrt (cbrt y))
280.0ms	(cbrt y)
293.0ms	(cbrt y)

simplify1.5s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
4	2510
3	650
2	189
1	77
0	42

prune502.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-+r+` `sqrt-prod`
7×	`pow1`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

19.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
13.0ms	(* 2/3 (log y))
3.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series1.2s

Counts

4 → 12

Calls

4 calls:

444.0ms	(+ (* 2/3 (log y)) (log (cbrt (sqrt y))))
238.0ms	(* 2/3 (log y))
244.0ms	(cbrt (sqrt y))
227.0ms	(cbrt (sqrt y))

simplify446.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	933
1	321
0	145

prune629.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes418.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

827.0ms	8141×	body	80	nan
756.0ms	8026×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid