Details

sample127.0ms

Algorithm

intervals

Results

54.0ms	85×	body	10240	exit
28.0ms	56×	body	1280	valid
18.0ms	50×	body	640	valid
8.0ms	106×	body	80	valid
7.0ms	31×	body	320	valid
2.0ms	13×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	11
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1))
4.1b	(- (exp x) 1)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

19.0ms	(/ (exp x) (- (exp x) 1))
12.0ms	(- (exp x) 1)

series52.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

simplify3.2s

Counts

86 → 86

Iterations

Iter	Nodes
4	6469
3	1628
2	568
1	250
0	126

prune627.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp x) (expm1 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

13.0ms

(/ (exp x) (expm1 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (exp x) (expm1 x))

simplify1.9s

Counts

33 → 33

Iterations

Iter	Nodes
5	3610
4	1592
3	765
2	307
1	118
0	60

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (expm1 x) (cbrt (exp x)))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`times-frac`
6×	`associate-/r*` `add-exp-log`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 85

Calls

4 calls:

6.0ms	(/ (expm1 x) (cbrt (exp x)))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))

series471.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (expm1 x) (cbrt (exp x)))
127.0ms	(cbrt (exp x))
88.0ms	(cbrt (exp x))
110.0ms	(cbrt (exp x))

simplify2.3s

Counts

97 → 97

Iterations

Iter	Nodes
5	5006
4	1808
3	731
2	326
1	174
0	96

prune844.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp (- x))) (expm1 x))
0.0b	(cbrt (exp (- x)))
0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`cbrt-prod`
10×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-l` `add-exp-log`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cbrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`neg-sub0` `exp-neg` `exp-diff` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

11.0ms	(* (cbrt (exp (- x))) (expm1 x))
7.0ms	(cbrt (exp (- x)))
2.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))

series460.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (exp (- x))) (expm1 x))
107.0ms	(cbrt (exp (- x)))
104.0ms	(cbrt (exp x))
109.0ms	(cbrt (exp x))

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
4	2965
3	950
2	362
1	167
0	89

prune739.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	4
0	4

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	2496×	body	10240	exit
1.0s	2304×	body	1280	valid
856.0ms	1597×	body	640	valid
185.0ms	2874×	body	80	valid
151.0ms	815×	body	320	valid
49.0ms	413×	body	160	valid