Details

sample77.0ms

Algorithm

intervals

Results

30.0ms	282×	body	80	valid
13.0ms	279×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4526
6	2495
5	1087
4	364
3	123
2	57
1	26
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (log z) (- 1.0 z))
0.1b	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
11×	`associate-+r+`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
5×	`pow1` `add-log-exp`
4×	`fma-def` `distribute-lft-out`
3×	`associate-+l+` `log-prod` `log-pow`
2×	`expm1-log1p-u` `sum-log` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `fma-udef`

Counts

2 → 47

Calls

2 calls:

18.0ms	(+ (log z) (- 1.0 z))
1.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series375.0ms

Counts

2 → 6

Calls

2 calls:

301.0ms	(+ (log z) (- 1.0 z))
73.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify880.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune353.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt z))
0.0b	(+ (log (sqrt z)) (- 1.0 z))
0.0b	(+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z)))
0.1b	(fma y (+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z))) (* x 0.5))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
22×	`distribute-lft-out`
21×	`pow1`
20×	`log-pow`
18×	`add-sqr-sqrt` `log-prod` `add-cube-cbrt`
12×	`associate-+l+` `associate-+r+` `fma-def`
11×	`add-log-exp`
9×	`prod-diff` `sqrt-prod`
7×	`sum-log`
6×	`distribute-lft-out--`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate-+r-` `sqrt-pow1` `pow1/2`
2×	`+-commutative` `flip3-+` `diff-log` `flip-+`
1×	`sub-neg` `rem-log-exp` `fma-udef`

Counts

4 → 110

Calls

4 calls:

3.0ms	(log (sqrt z))
37.0ms	(+ (log (sqrt z)) (- 1.0 z))
98.0ms	(+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z)))
1.0ms	(fma y (+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z))) (* x 0.5))

series404.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(log (sqrt z))
81.0ms	(+ (log (sqrt z)) (- 1.0 z))
95.0ms	(+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z)))
137.0ms	(fma y (+ (log (sqrt z)) (+ (log (sqrt z)) (- 1.0 z))) (* x 0.5))

simplify1.2s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1750
1	445
0	173

prune770.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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:

14.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt z) (cbrt z))
253.0ms	(cbrt z)
284.0ms	(cbrt z)
243.0ms	(cbrt z)

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune628.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
0.2b	(+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z)))
0.7b	(cbrt z)
5.9b	(pow z 2/3)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
8×	`add-log-exp`
7×	`pow1` `associate-+l+` `log-prod`
6×	`unpow-prod-down`
5×	`sum-log` `add-exp-log`
4×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `log-pow`
2×	`associate-+r-` `distribute-lft-out--` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-exp` `flip-+` `fma-udef`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma y (+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
77.0ms	(+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z)))
1.0ms	(cbrt z)
4.0ms	(pow z 2/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

214.0ms	(fma y (+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z))) (* x 0.5))
875.0ms	(+ (log (pow z 2/3)) (+ (log (cbrt z)) (- 1.0 z)))
197.0ms	(cbrt z)
198.0ms	(pow z 2/3)

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1839
1	452
0	164

prune522.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes378.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

791.0ms	9218×	body	80	valid
649.0ms	9093×	body	80	nan