Details

sample116.0ms

Algorithm

intervals

Results

41.0ms	286×	body	80	valid
23.0ms	254×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	2166
4	748
3	250
2	84
1	30
0	15

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite788.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

558.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
22.0ms	(* (- a 0.5) b)
196.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

series397.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
40.0ms	(* (- a 0.5) b)
49.0ms	(- (+ (+ x y) z) (* z (log t)))
72.0ms	(* z (log t))

simplify1.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5017
2	2034
1	551
0	204

prune829.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 59

Calls

4 calls:

17.0ms	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (cbrt t))))
239.0ms	(cbrt t)
606.0ms	(cbrt t)
267.0ms	(cbrt t)

simplify1.9s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	966
1	253
0	93

prune597.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (pow (/ 1 t) -1/3))))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow (/ 1 t) -1/3)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`associate-+r+` `log-prod`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
18×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log`
6×	`cbrt-prod` `pow1` `add-log-exp`
4×	`add-cbrt-cube` `pow-exp`
3×	`pow-unpow` `pow-pow` `div-inv` `sqr-pow`
2×	`associate-+l+` `pow1/3` `div-exp`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `flip3-+` `1-exp` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 102

Calls

4 calls:

45.0ms	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (pow (/ 1 t) -1/3))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
6.0ms	(pow (/ 1 t) -1/3)

series988.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(+ (* z (+ (log (cbrt t)) (log (cbrt t)))) (* z (log (pow (/ 1 t) -1/3))))
242.0ms	(cbrt t)
230.0ms	(cbrt t)
247.0ms	(pow (/ 1 t) -1/3)

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1799
1	585
0	222

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

9.0ms	(* (log (cbrt t)) z)
1.0ms	(cbrt t)
2.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (log (cbrt t)) z)
336.0ms	(cbrt t)
317.0ms	(cbrt t)
281.0ms	(cbrt t)

simplify3.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
4	4530
3	967
2	322
1	123
0	60

prune690.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
1	33
0	24

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	9265×	body	80	nan
1.0s	9133×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid