Details

sample556.0ms

Algorithm

intervals

Results

448.0ms	262×	body	80	nan
46.0ms	257×	body	80	valid

simplify14.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3867
5	1775
4	588
3	184
2	61
1	21
0	10

prune46.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize84.0ms

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

rewrite372.0ms

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:

12.0ms	(- x (* (+ y 0.5) (log y)))
237.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
78.0ms	(* (+ y 0.5) (log y))

series1.0s

Counts

4 → 12

Calls

4 calls:

79.0ms	(- x (* (+ y 0.5) (log y)))
115.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
88.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
751.0ms	(* (+ y 0.5) (log y))

simplify5.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5010
2	1409
1	458
0	172

prune992.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 3 expressions with local error:

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

rewrite628.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

505.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
49.0ms	(- (* (+ y 0.5) (log y)) y)
50.0ms	(* (+ y 0.5) (log y))

series3.9s

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
2.1s	(- (* (+ y 0.5) (log y)) y)
1.7s	(* (+ y 0.5) (log y))

simplify8.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	4307
2	1017
1	374
0	140

prune813.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize104.0ms

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)

rewrite59.0ms

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:

50.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.7s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt y) (cbrt y))
371.0ms	(cbrt y)
389.0ms	(cbrt y)
1.6s	(cbrt y)

simplify5.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	3625
3	1001
2	372
1	137
0	61

prune850.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

22.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
5.0ms	(pow y 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

392.0ms	(* (cbrt y) (cbrt y))
368.0ms	(cbrt y)
392.0ms	(cbrt y)
381.0ms	(pow y 1/3)

simplify4.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
4	3878
3	1245
2	516
1	243
0	89

prune935.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes435.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	7807×	body	80	nan
857.0ms	8037×	body	80	valid
0.0ms	1×	body	320	valid