Details

sample46.0ms

Algorithm

intervals

Results

13.0ms	300×	body	80	valid
10.0ms	282×	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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

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))

rewrite34.0ms

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:

30.0ms	(+ (log z) (- 1.0 z))
1.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

series279.0ms

Counts

2 → 6

Calls

2 calls:

190.0ms	(+ (log z) (- 1.0 z))
88.0ms	(fma y (+ (log z) (- 1.0 z)) (* x 0.5))

simplify573.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	932
1	273
0	110

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:

10.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt z) (cbrt z))
262.0ms	(cbrt z)
255.0ms	(cbrt z)
278.0ms	(cbrt z)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune620.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`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 → 89

Calls

4 calls:

11.0ms	(* (cbrt (log z)) (cbrt (log z)))
1.0ms	(cbrt (log z))
1.0ms	(cbrt (log z))
1.0ms	(cbrt (log z))

series1.6s

Counts

4 → 12

Calls

4 calls:

424.0ms	(* (cbrt (log z)) (cbrt (log z)))
441.0ms	(cbrt (log z))
392.0ms	(cbrt (log z))
381.0ms	(cbrt (log z))

simplify993.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	616
1	152
0	66

prune502.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (cbrt (pow (+ 0 (log z)) 2)) (cbrt (log z)) (- 1.0 z))
0.5b	(pow (+ 0 (log z)) 2)
0.5b	(cbrt (log z))
0.5b	(cbrt (pow (+ 0 (log z)) 2))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`cbrt-prod`
10×	`unpow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp` `fma-udef`

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (cbrt (pow (+ 0 (log z)) 2)) (cbrt (log z)) (- 1.0 z))
17.0ms	(pow (+ 0 (log z)) 2)
2.0ms	(cbrt (log z))
16.0ms	(cbrt (pow (+ 0 (log z)) 2))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.0s	(fma (cbrt (pow (+ 0 (log z)) 2)) (cbrt (log z)) (- 1.0 z))
286.0ms	(pow (+ 0 (log z)) 2)
397.0ms	(cbrt (log z))
420.0ms	(cbrt (pow (+ 0 (log z)) 2))

simplify4.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	4999
2	861
1	238
0	103

prune525.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes592.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

769.0ms	9216×	body	80	valid
509.0ms	9160×	body	80	nan