Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

331×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	46	8
3	91	8
4	142	8
5	182	8
6	243	8
7	866	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* (fma 0.12 x 0.253) x))
0.1b	(* (fma 0.12 x 0.253) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-r` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

6.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
7.0ms	(* (fma 0.12 x 0.253) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
128.0ms	(* (fma 0.12 x 0.253) x)

simplify896.0ms

Counts

46 → 46

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	74	529
1	158	499
2	664	450
done	5000	440

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

23.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt x) (cbrt x))
294.0ms	(cbrt x)
325.0ms	(cbrt x)
276.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune378.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

16.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
4.0ms	(cbrt (* (fma 0.12 x 0.253) x))
4.0ms	(cbrt (* (fma 0.12 x 0.253) x))
4.0ms	(cbrt (* (fma 0.12 x 0.253) x))

series855.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (* (fma 0.12 x 0.253) x)) (cbrt (* (fma 0.12 x 0.253) x)))
205.0ms	(cbrt (* (fma 0.12 x 0.253) x))
211.0ms	(cbrt (* (fma 0.12 x 0.253) x))
182.0ms	(cbrt (* (fma 0.12 x 0.253) x))

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	163	1700
1	449	1581
2	1861	1473
done	5001	1318

prune534.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.6b	(cbrt (* (fma 0.12 x 0.253) x))
0.7b	(cbrt x)
0.9b	(cbrt (fma 0.12 x 0.253))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
7.0ms	(cbrt (* (fma 0.12 x 0.253) x))
2.0ms	(cbrt x)
2.0ms	(cbrt (fma 0.12 x 0.253))

series932.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (* (fma 0.12 x 0.253) x))
215.0ms	(cbrt (* (fma 0.12 x 0.253) x))
296.0ms	(cbrt x)
216.0ms	(cbrt (fma 0.12 x 0.253))

simplify831.0ms

Counts

60 → 60

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	153	969
1	369	936
2	1268	874
done	5000	700

prune385.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample757.0ms

Algorithm

intervals

Results

495.0ms

10609×

body

valid