Details

sample185.0ms

Algorithm

intervals

Results

86.0ms	884×	body	80	nan
25.0ms	257×	body	80	valid

simplify9.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4683
11	4216
10	3779
9	3333
8	2496
7	1689
6	1199
5	607
4	286
3	106
2	46
1	20
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.0b	(- (- (* x (log y)) y) z)
0.3b	(* x (log y))

rewrite837.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

381.0ms	(+ (- (- (* x (log y)) y) z) (log t))
19.0ms	(- (* x (log y)) y)
384.0ms	(- (- (* x (log y)) y) z)
34.0ms	(* x (log y))

series345.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (- (- (* x (log y)) y) z) (log t))
127.0ms	(- (* x (log y)) y)
58.0ms	(- (- (* x (log y)) y) z)
67.0ms	(* x (log y))

simplify4.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1156
1	383
0	167

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

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)

rewrite30.0ms

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:

20.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
3.0ms	(cbrt y)

series2.7s

Counts

4 → 12

Calls

4 calls:

542.0ms	(* (cbrt y) (cbrt y))
1.0s	(cbrt y)
481.0ms	(cbrt y)
634.0ms	(cbrt y)

simplify7.9s

Counts

85 → 85

Iterations

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

prune967.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite56.0ms

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:

43.0ms	(* (cbrt (log y)) (cbrt (log y)))
2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))

series2.8s

Counts

4 → 12

Calls

4 calls:

668.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0s	(cbrt (log y))
617.0ms	(cbrt (log y))
516.0ms	(cbrt (log y))

simplify16.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	4606
3	1179
2	393
1	146
0	62

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x (cbrt (* (log y) (log y)))) (cbrt (log y)))
0.5b	(* (log y) (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (* (log y) (log y)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`add-exp-log` `associate-r`
9×	`cbrt-prod`
8×	`log-pow` `add-cbrt-cube`
6×	`log-prod` `swap-sqr`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow1/3` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

77.0ms	(* (* x (cbrt (* (log y) (log y)))) (cbrt (log y)))
61.0ms	(* (log y) (log y))
2.0ms	(cbrt (log y))
18.0ms	(cbrt (* (log y) (log y)))

series2.2s

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (* x (cbrt (* (log y) (log y)))) (cbrt (log y)))
332.0ms	(* (log y) (log y))
1.2s	(cbrt (log y))
540.0ms	(cbrt (* (log y) (log y)))

simplify9.0s

Counts

91 → 91

Iterations

Iter	Nodes
done	5005
3	2559
2	869
1	294
0	110

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes1.8s

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	12
1	12
0	10

end0.0ms

sample15.3s

Algorithm

intervals

Results

11.5s	24139×	body	80	nan
1.5s	8045×	body	80	valid