Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
8.0ms	226×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3919
5	1752
4	591
3	184
2	61
1	21
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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

rewrite179.0ms

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:

118.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(- x (* (+ y 0.5) (log y)))
32.0ms	(* (+ y 0.5) (log y))
16.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

series602.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
53.0ms	(- x (* (+ y 0.5) (log y)))
417.0ms	(* (+ y 0.5) (log y))
61.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1350
1	461
0	173

prune508.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ 0.5 y))
0.3b	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

22.0ms	(* (log (cbrt y)) (+ 0.5 y))
63.0ms	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.4s

Counts

4 → 12

Calls

4 calls:

672.0ms	(* (log (cbrt y)) (+ 0.5 y))
1.2s	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
295.0ms	(cbrt y)
301.0ms	(cbrt y)

simplify2.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	3251
1	689
0	196

prune583.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y 3) 1.5)
0.1b	(+ (- x (* (* -1/3 (- (log y))) (+ (* y 3) 1.5))) y)
0.3b	(* (* -1/3 (- (log y))) (+ (* y 3) 1.5))
0.4b	(* -1/3 (- (log y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (* y 3) 1.5)
16.0ms	(+ (- x (* (* -1/3 (- (log y))) (+ (* y 3) 1.5))) y)
44.0ms	(* (* -1/3 (- (log y))) (+ (* y 3) 1.5))
23.0ms	(* -1/3 (- (log y)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* y 3) 1.5)
56.0ms	(+ (- x (* (* -1/3 (- (log y))) (+ (* y 3) 1.5))) y)
445.0ms	(* (* -1/3 (- (log y))) (+ (* y 3) 1.5))
212.0ms	(* -1/3 (- (log y)))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1888
1	531
0	179

prune497.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.6b	(cbrt (log y))
0.6b	(cbrt (log y))
0.6b	(cbrt (log y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

17.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.6s

Counts

4 → 12

Calls

4 calls:

410.0ms	(* (cbrt (log y)) (cbrt (log y)))
391.0ms	(cbrt (log y))
410.0ms	(cbrt (log y))
381.0ms	(cbrt (log y))

simplify3.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5004
4	4728
3	1165
2	391
1	146
0	62

prune395.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes378.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

877.0ms	8025×	body	80	valid
429.0ms	7792×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid