Details

sample68.0ms

Algorithm

intervals

Results

21.0ms	281×	body	80	valid
18.0ms	284×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

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))

rewrite567.0ms

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` `insert-posit16`
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 → 94

Calls

4 calls:

385.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
18.0ms	(* (- a 0.5) b)
150.0ms	(- (+ (+ x y) z) (* z (log t)))
12.0ms	(* z (log t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(* (- a 0.5) b)
47.0ms	(- (+ (+ x y) z) (* z (log t)))
52.0ms	(* z (log t))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5005
2	2024
1	555
0	208

prune645.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* z (log (sqrt t))))
0.3b	(* z (log (sqrt t)))
0.3b	(* z (log (sqrt t)))

rewrite732.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
28×	`add-sqr-sqrt`
27×	`add-log-exp`
24×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt` `sqrt-prod` `associate--r+`
12×	`pow1` `associate-r`
10×	`diff-log`
8×	`add-cbrt-cube` `add-exp-log`
6×	`sum-log` `associate-l` `log-pow`
5×	`associate--l+`
4×	`insert-posit16`
3×	`sub-neg`
2×	`sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 128

Calls

4 calls:

584.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
123.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
10.0ms	(* z (log (sqrt t)))
13.0ms	(* z (log (sqrt t)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (- (+ (+ x y) z) (* z (log (sqrt t)))) (* z (log (sqrt t))))
64.0ms	(- (+ (+ x y) z) (* z (log (sqrt t))))
96.0ms	(* z (log (sqrt t)))
102.0ms	(* z (log (sqrt t)))

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5010
2	1498
1	443
0	178

prune916.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt (sqrt t))) (+ z z))
0.3b	(* z (log (sqrt t)))
0.6b	(cbrt (sqrt t))
0.6b	(cbrt (sqrt t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`associate-r`
12×	`cbrt-prod` `log-prod` `sqrt-prod`
11×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`distribute-rgt-in` `distribute-lft-in`
5×	`log-pow`
4×	`insert-posit16` `add-log-exp`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft1-in` `sqrt-pow1` `flip3-+` `pow1/2` `count-2` `distribute-rgt1-in` `flip-+`

Counts

4 → 98

Calls

4 calls:

16.0ms	(* (log (cbrt (sqrt t))) (+ z z))
8.0ms	(* z (log (sqrt t)))
1.0ms	(cbrt (sqrt t))
1.0ms	(cbrt (sqrt t))

series722.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (log (cbrt (sqrt t))) (+ z z))
124.0ms	(* z (log (sqrt t)))
209.0ms	(cbrt (sqrt t))
217.0ms	(cbrt (sqrt t))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5004
2	1429
1	412
0	169

prune832.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt (sqrt t))) z)
0.3b	(* z (log (sqrt t)))
0.6b	(cbrt (sqrt t))
4.1b	(pow t 1/6)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1` `log-prod`
9×	`associate-r` `add-exp-log` `sqrt-prod`
8×	`add-cbrt-cube` `associate-l`
6×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
5×	`log-pow`
4×	`insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `sqrt-pow1` `pow1/2` `pow-exp` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (log (cbrt (sqrt t))) z)
20.0ms	(* z (log (sqrt t)))
1.0ms	(cbrt (sqrt t))
2.0ms	(pow t 1/6)

series1.2s

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (log (cbrt (sqrt t))) z)
128.0ms	(* z (log (sqrt t)))
189.0ms	(cbrt (sqrt t))
640.0ms	(pow t 1/6)

simplify2.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	3711
2	1011
1	373
0	173

prune849.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes796.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	9310×	body	80	nan
905.0ms	9086×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid