Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	238×	body	80	nan

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3880
7	1171
6	415
5	191
4	83
3	41
2	25
1	14
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

10.0ms	(- (* x (log y)) z)
9.0ms	(* x (log y))

series168.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(- (* x (log y)) z)
71.0ms	(* x (log y))

simplify1.3s

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
3	1965
2	458
1	186
0	90

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) (+ x x))
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-r` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`distribute-lft-out`
3×	`distribute-rgt-out` `pow1/3`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

28.0ms	(* (log (cbrt y)) (+ x x))
11.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series823.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (log (cbrt y)) (+ x x))
150.0ms	(+ (* (log (cbrt y)) (+ x x)) (* (log (cbrt y)) x))
227.0ms	(cbrt y)
272.0ms	(cbrt y)

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1550
1	306
0	108

prune408.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.0b	(- (* (log (cbrt y)) (* x 3)) z)
0.4b	(* (log (cbrt y)) (* x 3))
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `log-prod` `add-log-exp`
5×	`associate-l`
4×	`log-pow`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `associate-r` `*-commutative` `flip--`

Counts

4 → 59

Calls

4 calls:

1.0ms	(log (cbrt y))
14.0ms	(- (* (log (cbrt y)) (* x 3)) z)
13.0ms	(* (log (cbrt y)) (* x 3))
1.0ms	(cbrt y)

series916.0ms

Counts

4 → 12

Calls

4 calls:

353.0ms	(log (cbrt y))
216.0ms	(- (* (log (cbrt y)) (* x 3)) z)
142.0ms	(* (log (cbrt y)) (* x 3))
204.0ms	(cbrt y)

simplify3.1s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	4059
2	742
1	227
0	102

prune363.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))
2.0ms	(cbrt (cbrt y))

series1.4s

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt y)
411.0ms	(cbrt (cbrt y))
362.0ms	(cbrt (cbrt y))
380.0ms	(cbrt (cbrt y))

simplify1.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
4	2492
3	642
2	187
1	77
0	42

prune451.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes332.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

794.0ms	7767×	body	80	nan
472.0ms	8033×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid