Details

sample134.0ms

Algorithm

intervals

Results

74.0ms	73×	body	10240	exit
29.0ms	273×	body	80	valid
6.0ms	5×	body	1280	valid
3.0ms	8×	body	320	valid
3.0ms	5×	body	640	valid
2.0ms	7×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	24
3	24
2	20
1	13
0	8

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.3b	(log1p (exp x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `fma-neg` `prod-diff`
2×	`pow1` `log1p-udef` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `log1p-expm1` `flip--`

Counts

2 → 34

Calls

2 calls:

10.0ms	(- (log1p (exp x)) (* y x))
1.0ms	(log1p (exp x))

series160.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (log1p (exp x)) (* y x))
86.0ms	(log1p (exp x))

simplify1.9s

Counts

40 → 40

Iterations

Iter	Nodes
4	2334
3	953
2	314
1	126
0	61

prune326.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (log1p (exp x))))
0.0b	(- (exp (log (log1p (exp x)))) (* y x))
0.3b	(log1p (exp x))
0.5b	(log (log1p (exp x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`exp-sum`
6×	`pow1` `fma-neg` `prod-diff` `add-log-exp`
5×	`expm1-log1p-u` `add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`log-pow`
1×	`log1p-udef` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `log1p-expm1` `flip--` `rem-exp-log`

Counts

4 → 72

Calls

4 calls:

6.0ms	(exp (log (log1p (exp x))))
29.0ms	(- (exp (log (log1p (exp x)))) (* y x))
1.0ms	(log1p (exp x))
2.0ms	(log (log1p (exp x)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp (log (log1p (exp x))))
66.0ms	(- (exp (log (log1p (exp x)))) (* y x))
82.0ms	(log1p (exp x))
180.0ms	(log (log1p (exp x)))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
4	3917
3	1441
2	504
1	211
0	106

prune624.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (log 2))
0.2b	(/ x (log 2))
0.3b	(/ (/ x (log 2)) (log 2))
0.8b	(- (/ x (log 2)) (/ (/ x (log 2)) (log 2)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

2789×	`times-frac`
1438×	`add-sqr-sqrt`
1433×	`*-un-lft-identity`
1417×	`add-cube-cbrt`
1088×	`prod-diff`
703×	`pow1`
699×	`log-pow`
159×	`div-inv`
22×	`associate-/l*`
16×	`fma-neg`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
7×	`distribute-lft-out--`
6×	`add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `sub-div` `associate-/l/`

Counts

4 → 1305

Calls

4 calls:

6.0ms	(/ x (log 2))
6.0ms	(/ x (log 2))
12.0ms	(/ (/ x (log 2)) (log 2))
31.0ms	(- (/ x (log 2)) (/ (/ x (log 2)) (log 2)))

series1.4s

Counts

4 → 12

Calls

4 calls:

286.0ms	(/ x (log 2))
279.0ms	(/ x (log 2))
273.0ms	(/ (/ x (log 2)) (log 2))
606.0ms	(- (/ x (log 2)) (/ (/ x (log 2)) (log 2)))

simplify1.5s

Counts

1317 → 1317

Iterations

Iter	Nodes
1	2147
0	924

prune12.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) (cbrt (- (log1p (exp x)) (* y x))))
1.0b	(cbrt (- (log1p (exp x)) (* y x)))
1.0b	(cbrt (- (log1p (exp x)) (* y x)))
1.0b	(cbrt (- (log1p (exp x)) (* y x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
23×	`pow1`
14×	`associate-*l/`
13×	`cbrt-prod`
12×	`pow1/3`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
8×	`associate-*r/`
6×	`pow-plus` `associate-r`
5×	`add-cbrt-cube` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 112

Calls

4 calls:

78.0ms	(* (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) (cbrt (- (log1p (exp x)) (* y x))))
4.0ms	(cbrt (- (log1p (exp x)) (* y x)))
3.0ms	(cbrt (- (log1p (exp x)) (* y x)))
2.0ms	(cbrt (- (log1p (exp x)) (* y x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* (cbrt (- (log1p (exp x)) (* y x))) (cbrt (- (log1p (exp x)) (* y x)))) (cbrt (- (log1p (exp x)) (* y x))))
351.0ms	(cbrt (- (log1p (exp x)) (* y x)))
314.0ms	(cbrt (- (log1p (exp x)) (* y x)))
311.0ms	(cbrt (- (log1p (exp x)) (* y x)))

simplify2.4s

Counts

124 → 124

Iterations

Iter	Nodes
3	5711
2	1357
1	455
0	191

prune907.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	16

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.3s	2387×	body	10240	exit
801.0ms	8436×	body	80	valid
124.0ms	262×	body	640	valid
83.0ms	98×	body	1280	valid
55.0ms	180×	body	320	valid
21.0ms	116×	body	160	valid