Details

sample88.0ms

Algorithm

intervals

Results

43.0ms	62×	body	1280	valid
23.0ms	69×	body	640	valid
3.0ms	19×	body	320	valid
3.0ms	94×	body	80	valid
2.0ms	79×	body	80	nan
1.0ms	12×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize10.0ms

Local error

Found 1 expressions with local error:

3.0b	(log (+ 1.0 x))

rewrite7.0ms

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×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log (+ 1.0 x))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(log (+ 1.0 x))

simplify1.6s

Counts

18 → 18

Iterations

Iter	Nodes
done	5002
4	2348
3	735
2	288
1	123
0	58

prune99.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
3×	`diff-log`
2×	`sub-neg` `associate--r+`
1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip--` `associate--r-`

Counts

1 → 16

Calls

1 calls:

58.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify2.1s

Counts

19 → 19

Iterations

Iter	Nodes
done	5000
3	1545
2	365
1	111
0	42

prune100.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite639.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

464.0ms	(* (cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)))) (cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)))))
58.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))
52.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))
59.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)))) (cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)))))
262.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))
267.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))
317.0ms	(cbrt (- (* 1.0 x) (- (* 1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0))))

simplify3.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5008
3	4668
2	1417
1	531
0	204

prune843.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.4b	(exp (log (log (+ 1.0 x))))
3.0b	(log (+ 1.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
9×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-exp-log` `log-pow`
4×	`exp-prod` `exp-sum`
3×	`add-cbrt-cube` `add-log-exp`
2×	`log-div` `rem-log-exp`
1×	`flip3-+` `flip-+` `distribute-lft-out` `rem-exp-log`

Counts

3 → 44

Calls

3 calls:

2.0ms	(log (log (+ 1.0 x)))
6.0ms	(exp (log (log (+ 1.0 x))))
6.0ms	(log (+ 1.0 x))

series284.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(log (log (+ 1.0 x)))
81.0ms	(exp (log (log (+ 1.0 x))))
54.0ms	(log (+ 1.0 x))

simplify2.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	2526
2	760
1	276
0	124

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes292.0ms

Accuracy

99.1% (0.2b remaining)

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

bsearch3.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.7s	2271×	body	1280	valid
614.0ms	1658×	body	640	valid
153.0ms	849×	body	320	valid
110.0ms	2741×	body	80	nan
107.0ms	2816×	body	80	valid
43.0ms	406×	body	160	valid