Details

sample91.0ms

Algorithm

intervals

Results

46.0ms	62×	body	1280	valid
23.0ms	69×	body	640	valid
3.0ms	94×	body	80	valid
3.0ms	19×	body	320	valid
2.0ms	79×	body	80	nan
1.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize5.0ms

Local error

Found 1 expressions with local error:

3.0b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

4.0ms

(log (+ 1.0 x))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(log (+ 1.0 x))

simplify3.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
4	2640
3	823
2	324
1	131
0	60

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))

simplify2.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5009
4	1922
3	370
2	116
1	46
0	25

prune102.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))) (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

rewrite17.0ms

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:

11.0ms	(* (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))) (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))))
1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))) (cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0)))))
313.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
241.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
295.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4023
2	1264
1	473
0	179

prune577.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
10.5b	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
1.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
2.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
309.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
323.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
262.0ms	(cbrt (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))

simplify1.9s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
3	2445
2	656
1	227
0	93

prune554.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes232.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s	2271×	body	1280	valid
530.0ms	1658×	body	640	valid
168.0ms	849×	body	320	valid
132.0ms	2816×	body	80	valid
60.0ms	2741×	body	80	nan
39.0ms	406×	body	160	valid