Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	257×	body	80	valid
17.0ms	263×	body	80	nan

simplify34.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (186.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`distribute-lft-out`
4×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

1.0ms	(fma (log y) (+ y 0.5) z)
51.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))

series149.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (log y) (+ y 0.5) z)
94.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))

simplify3.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	103	1312
1	242	939
2	781	849
3	4610	733
done	5000	733

prune165.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.5b	(cbrt (fma (log y) (+ y 0.5) z))

rewrite28.0ms

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:

21.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))

series2.3s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
355.0ms	(cbrt (fma (log y) (+ y 0.5) z))
410.0ms	(cbrt (fma (log y) (+ y 0.5) z))
359.0ms	(cbrt (fma (log y) (+ y 0.5) z))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	2843
1	605	2677
2	2361	2497
done	5000	2338

prune476.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
0.6b	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
0.6b	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `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`

Counts

4 → 104

Calls

4 calls:

18.0ms	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))
1.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))

series2.2s

Counts

4 → 12

Calls

4 calls:

1.2s	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))
319.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
364.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
316.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	229	3637
1	626	3462
2	2375	3276
done	5000	3107

prune732.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log y) (+ y 0.5) z))
0.6b	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
0.6b	(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
0.9b	(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (+ 3 1))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
6.0ms	(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
10.0ms	(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (+ 3 1))

series2.5s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (fma (log y) (+ y 0.5) z))
378.0ms	(cbrt (cbrt (fma (log y) (+ y 0.5) z)))
1.2s	(cbrt (* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z))))
600.0ms	(pow (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (+ 3 1))

simplify1.8s

Counts

80 → 80

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	329	2698
1	988	2477
2	3690	2243
done	5001	2215

prune559.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	8042×	body	80	valid
479.0ms	8063×	body	80	nan
1.0ms	2×	body	320	valid