Details

sample108.0ms

Algorithm

intervals

Results

55.0ms	63×	body	1280	valid
23.0ms	59×	body	640	valid
5.0ms	107×	body	80	valid
3.0ms	16×	body	320	valid
3.0ms	93×	body	80	nan
1.0ms	11×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize13.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1.0 x))

rewrite12.0ms

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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

11.0ms

(log (+ 1.0 x))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(log (+ 1.0 x))

simplify4.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
4	2696
3	825
2	322
1	133
0	60

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify3.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5008
4	1889
3	372
2	119
1	46
0	25

prune140.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

24.0ms	(* (cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))) (cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))
2.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
2.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
2.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

469.0ms	(* (cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))) (cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))
487.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
450.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
375.0ms	(cbrt (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify4.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	3971
2	1255
1	475
0	179

prune821.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize32.0ms

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))

rewrite27.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `rem-log-exp`
1×	`flip3-+` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

3 → 50

Calls

3 calls:

10.0ms	(log (log (+ 1.0 x)))
6.0ms	(exp (log (log (+ 1.0 x))))
10.0ms	(log (+ 1.0 x))

series308.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(log (log (+ 1.0 x)))
81.0ms	(exp (log (log (+ 1.0 x))))
67.0ms	(log (+ 1.0 x))

simplify3.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	2582
2	805
1	294
0	130

prune384.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes369.0ms

Accuracy

99.2% (0.2b remaining)

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

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.8s	2278×	body	1280	valid
662.0ms	1599×	body	640	valid
277.0ms	840×	body	320	valid
119.0ms	2661×	body	80	nan
117.0ms	2827×	body	80	valid
54.0ms	456×	body	160	valid