Details

sample112.0ms

Algorithm

intervals

Results

56.0ms	63×	body	1280	valid
24.0ms	59×	body	640	valid
5.0ms	107×	body	80	valid
4.0ms	16×	body	320	valid
3.0ms	93×	body	80	nan
2.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize12.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

10.0ms

(log (+ 1.0 x))

series93.0ms

Counts

1 → 3

Calls

1 calls:

93.0ms

(log (+ 1.0 x))

simplify3.0s

Counts

18 → 18

Iterations

Iter	Nodes
done	5001
4	2391
3	725
2	285
1	123
0	58

prune135.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite465.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv` `add-sqr-sqrt` `associate-*r/` `div-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `sum-log`
1×	`+-commutative` `frac-times` `associate-+l+` `flip3-+` `associate-r` `associate-l/` `-commutative` `flip-+` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

68.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
394.0ms	(+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* -1/2 (* (/ x 1.0) (/ x 1.0)))
65.0ms	(+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	1207
1	275
0	94

prune290.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))) (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))))
9.8b	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
9.8b	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
9.8b	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

1.8s	(* (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))) (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))))
223.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
221.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
249.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))

series1.6s

Counts

4 → 12

Calls

4 calls:

385.0ms	(* (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))) (cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0))))
367.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
411.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))
400.0ms	(cbrt (+ (+ (* -1/2 (* (/ x 1.0) (/ x 1.0))) (log 1.0)) (* x 1.0)))

simplify4.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1539
1	544
0	204

prune949.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (log (+ 1.0 x)))
0.6b	(exp (log (log (+ 1.0 x))))
3.2b	(log (+ 1.0 x))

rewrite13.0ms

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-+` `rem-exp-log` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

3.0ms	(log (log (+ 1.0 x)))
4.0ms	(exp (log (log (+ 1.0 x))))
5.0ms	(log (+ 1.0 x))

series335.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(log (log (+ 1.0 x)))
75.0ms	(exp (log (log (+ 1.0 x))))
93.0ms	(log (+ 1.0 x))

simplify3.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5001
3	2476
2	752
1	274
0	124

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes365.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.8b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.0s	2278×	body	1280	valid
664.0ms	1599×	body	640	valid
169.0ms	840×	body	320	valid
120.0ms	2827×	body	80	valid
84.0ms	2661×	body	80	nan
52.0ms	456×	body	160	valid