Details

sample71.0ms

Algorithm

intervals

Results

21.0ms	288×	body	80	valid
19.0ms	307×	body	80	nan

simplify3.7s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite19.0ms

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:

17.0ms	(+ (log z) (- 1.0 z))
0.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series297.0ms

Counts

2 → 6

Calls

2 calls:

229.0ms	(+ (log z) (- 1.0 z))
68.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify760.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune317.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite32.0ms

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:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
7.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt z) (cbrt z))
330.0ms	(cbrt z)
220.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune653.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (pow z 1/3))
0.5b	(cbrt z)
0.5b	(cbrt z)
5.1b	(pow z 1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`associate-l` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 83

Calls

4 calls:

23.0ms	(* (cbrt z) (pow z 1/3))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(pow z 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt z) (pow z 1/3))
277.0ms	(cbrt z)
246.0ms	(cbrt z)
272.0ms	(pow z 1/3)

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1459
1	234
0	98

prune760.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

1.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
1.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
1.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
17.0ms	(* (cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5))) (cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5))))

series3.1s

Counts

4 → 12

Calls

4 calls:

711.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
750.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
676.0ms	(cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5)))
951.0ms	(* (cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5))) (cbrt (fma y (+ (log z) (- 1.0 z)) (* x 0.5))))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3154
1	714
0	251

prune740.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes386.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	9163×	body	80	valid
671.0ms	9124×	body	80	nan