Details

sample67.0ms

Algorithm

intervals

Results

17.0ms	258×	body	80	valid
17.0ms	286×	body	80	nan

simplify6.9s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize97.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite544.0ms

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` `insert-posit16`
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 → 85

Calls

4 calls:

18.0ms	(- x (* (+ y 0.5) (log y)))
388.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
68.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
66.0ms	(* (+ y 0.5) (log y))

series711.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- x (* (+ y 0.5) (log y)))
148.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
92.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
393.0ms	(* (+ y 0.5) (log y))

simplify3.8s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1387
1	465
0	177

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize244.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

44.0ms	(* (cbrt y) (cbrt y))
5.0ms	(cbrt y)
5.0ms	(cbrt y)
5.0ms	(cbrt y)

series1.3s

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (cbrt y) (cbrt y))
302.0ms	(cbrt y)
346.0ms	(cbrt y)
306.0ms	(cbrt y)

simplify8.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5015
4	3770
3	1044
2	353
1	137
0	63

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize147.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
0.1b	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b	(* (sqrt (+ y 0.5)) (log y))

rewrite695.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`log-prod` `add-log-exp`
15×	`distribute-rgt-in` `distribute-lft-in` `add-cube-cbrt`
14×	`sqrt-div` `associate-l`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`flip3-+` `flip-+`
5×	`diff-log` `associate-r`
4×	`frac-times` `sum-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out`
2×	`associate-+l+` `sub-neg` `associate-r/` `-commutative` `associate-+l-` `distribute-lft-out--` `unswap-sqr`
1×	`associate--l-` `+-commutative` `flip3--` `associate--l+` `log-pow` `flip--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

398.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
49.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
162.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
73.0ms	(* (sqrt (+ y 0.5)) (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

133.0ms	(- (+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y) z)
91.0ms	(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
769.0ms	(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
91.0ms	(* (sqrt (+ y 0.5)) (log y))

simplify4.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	2036
1	669
0	256

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize154.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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` `insert-posit16` `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 → 85

Calls

4 calls:

3.0ms	(cbrt (log y))
3.0ms	(cbrt (log y))
3.0ms	(cbrt (log y))
47.0ms	(* (cbrt (log y)) (cbrt (log y)))

series2.3s

Counts

4 → 12

Calls

4 calls:

573.0ms	(cbrt (log y))
599.0ms	(cbrt (log y))
496.0ms	(cbrt (log y))
663.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify9.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5005
4	4316
3	1191
2	396
1	148
0	64

prune876.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8040×	body	80	valid
585.0ms	7987×	body	80	nan
1.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid