Details

sample489.0ms

Algorithm

intervals

Results

230.0ms	217×	body	10240	exit
44.0ms	365×	body	80	nan
35.0ms	241×	body	80	valid
5.0ms	19×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
7	3147
6	794
5	285
4	108
3	53
2	30
1	24
0	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `fma-def`
2×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `hypot-def` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 39

Calls

2 calls:

17.0ms	(sqrt (+ (exp x) 1))
17.0ms	(+ (exp x) 1)

series80.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(sqrt (+ (exp x) 1))
28.0ms	(+ (exp x) 1)

simplify1.7s

Counts

45 → 45

Iterations

Iter	Nodes
4	2719
3	856
2	347
1	148
0	65

prune372.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (exp x))
0.0b	(exp (log1p (exp x)))
0.0b	(sqrt (exp (log1p (exp x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`exp-prod` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `sqrt-pow1` `add-log-exp`
3×	`add-cbrt-cube` `add-exp-log` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
2×	`log1p-udef` `rem-exp-log`
1×	`rem-sqrt-square` `pow1/2` `log1p-expm1`

Counts

3 → 46

Calls

3 calls:

1.0ms	(log1p (exp x))
2.0ms	(exp (log1p (exp x)))
3.0ms	(sqrt (exp (log1p (exp x))))

series278.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(log1p (exp x))
98.0ms	(exp (log1p (exp x)))
109.0ms	(sqrt (exp (log1p (exp x))))

simplify870.0ms

Counts

55 → 55

Iterations

Iter	Nodes
4	2105
3	708
2	277
1	132
0	73

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
0.3b	(/ (expm1 (+ x x)) (expm1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`times-frac`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`sqrt-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `expm1-udef`

Counts

2 → 59

Calls

2 calls:

2.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
4.0ms	(/ (expm1 (+ x x)) (expm1 x))

series141.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(sqrt (/ (expm1 (+ x x)) (expm1 x)))
51.0ms	(/ (expm1 (+ x x)) (expm1 x))

simplify1.7s

Counts

65 → 65

Iterations

Iter	Nodes
4	4507
3	1341
2	515
1	208
0	114

prune567.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	5
0	5

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.7s	6708×	body	10240	exit
2.3s	12481×	body	80	nan
905.0ms	7425×	body	80	valid
211.0ms	699×	body	160	valid