Details

sample83.0ms

Algorithm

intervals

Results

33.0ms

374×

body

valid

simplify160.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	96	13
4	123	13
5	127	13
done	127	13

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.5b	(* (* a z) b)

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

157.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
10.0ms	(+ x (* y z))
48.0ms	(+ (+ x (* y z)) (* t a))
31.0ms	(* (* a z) b)

series363.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
46.0ms	(+ x (* y z))
95.0ms	(+ (+ x (* y z)) (* t a))
59.0ms	(* (* a z) b)

simplify2.2s

Counts

68 → 68

Iterations

Useful iterations: 2 (431.0ms)

Iter	Nodes	Cost
0	115	854
1	345	787
2	2328	707
done	5001	707

prune543.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* a z) b)
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

29.0ms	(* (* a z) b)
25.0ms	(cbrt (* (* a z) b))
35.0ms	(cbrt (* (* a z) b))
21.0ms	(cbrt (* (* a z) b))

series499.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a z) b)
152.0ms	(cbrt (* (* a z) b))
154.0ms	(cbrt (* (* a z) b))
152.0ms	(cbrt (* (* a z) b))

simplify879.0ms

Counts

57 → 57

Iterations

Useful iterations: done (877.0ms)

Iter	Nodes	Cost
0	76	525
1	186	505
2	918	433
done	5000	419

prune663.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (* a z) b)
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))
14.4b	(cbrt (* a z))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

35.0ms	(* (* a z) b)
35.0ms	(cbrt (* (* a z) b))
27.0ms	(cbrt (* (* a z) b))
7.0ms	(cbrt (* a z))

series472.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* a z) b)
150.0ms	(cbrt (* (* a z) b))
163.0ms	(cbrt (* (* a z) b))
117.0ms	(cbrt (* a z))

simplify829.0ms

Counts

57 → 57

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	92	487
1	222	469
2	992	396
done	5001	383

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
2.3b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
4.3b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt b)
2.0ms	(cbrt b)
206.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
58.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series987.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt b)
341.0ms	(cbrt b)
80.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
245.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.7s

Counts

86 → 86

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	96	933
1	278	897
2	1731	635
done	5000	519

prune562.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes954.0ms

Accuracy

86.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.2b

bsearch187.0ms

Steps

Iters	Range		Point
8	1.1311204215935077e-37	3.3749304973923834e-34	5.9108509699794535e-37
6	-641.7636927514584	-43.4953976628584	-44.46895104671862

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	29	65
1	46	53
done	46	53

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s

11820×

body

valid