Details

sample59.0ms

Algorithm

intervals

Results

15.0ms	259×	body	80	valid
13.0ms	273×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

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))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

181.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
39.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
36.0ms	(* (+ y 0.5) (log y))

series579.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
78.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
380.0ms	(* (+ y 0.5) (log y))

simplify1.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1448
1	390
0	148

prune425.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

36.0ms	(- x (- (* (+ y 0.5) (log y)) y))
230.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
12.0ms	(- (* (+ y 0.5) (log y)) y)
33.0ms	(* (+ y 0.5) (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

52.0ms	(- x (- (* (+ y 0.5) (log y)) y))
80.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
626.0ms	(- (* (+ y 0.5) (log y)) y)
350.0ms	(* (+ y 0.5) (log y))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1622
1	461
0	181

prune637.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

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` `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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt y) (cbrt y))
262.0ms	(cbrt y)
265.0ms	(cbrt y)
235.0ms	(cbrt y)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune591.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (+ y 0.5) (log (cbrt y))) y)
0.2b	(+ (* (+ y 0.5) (log (pow y 2/3))) (- (* (+ y 0.5) (log (cbrt y))) y))
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
24×	`associate--l+`
19×	`distribute-rgt-in` `add-sqr-sqrt` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
15×	`cbrt-prod`
14×	`associate-+l+` `associate-+r+`
11×	`add-log-exp`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `associate-*l/` `frac-add`
3×	`pow-unpow` `flip3-+` `flip3--` `flip-+` `flip--` `sqr-pow`
2×	`sum-log` `sub-neg` `diff-log`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 97

Calls

4 calls:

19.0ms	(- (* (+ y 0.5) (log (cbrt y))) y)
62.0ms	(+ (* (+ y 0.5) (log (pow y 2/3))) (- (* (+ y 0.5) (log (cbrt y))) y))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series3.6s

Counts

4 → 12

Calls

4 calls:

929.0ms	(- (* (+ y 0.5) (log (cbrt y))) y)
2.2s	(+ (* (+ y 0.5) (log (pow y 2/3))) (- (* (+ y 0.5) (log (cbrt y))) y))
212.0ms	(cbrt y)
237.0ms	(pow y 2/3)

simplify2.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	4228
1	755
0	240

prune809.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.9s

Algorithm

intervals

Results

575.0ms	8083×	body	80	nan
570.0ms	8031×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid