Details

sample493.0ms

Algorithm

intervals

Results

302.0ms	186×	body	10240	exit
36.0ms	365×	body	80	nan
23.0ms	229×	body	80	valid
6.0ms	29×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3702
6	894
5	301
4	108
3	53
2	30
1	24
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1 (exp x))
0.2b	(sqrt (+ 1 (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity`
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` `hypot-1-def`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ 1 (exp x))
10.0ms	(sqrt (+ 1 (exp x)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ 1 (exp x))
51.0ms	(sqrt (+ 1 (exp x)))

simplify3.0s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
4	4436
3	1371
2	542
1	156
0	67

prune231.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot 1 (sqrt (exp x)))
0.5b	(sqrt (exp x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(hypot 1 (sqrt (exp x)))
3.0ms	(sqrt (exp x))

series138.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(hypot 1 (sqrt (exp x)))
14.0ms	(sqrt (exp x))

simplify2.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5010
4	2694
3	666
2	232
1	104
0	61

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot 1 (pow (exp 1) (/ x 2)))
0.1b	(pow (exp 1) (/ x 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow-unpow`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`pow-pow`
3×	`pow1` `exp-prod` `unpow-prod-down`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-to-exp` `hypot-udef` `pow-exp` `div-inv` `sqr-pow`

Counts

2 → 44

Calls

2 calls:

0.0ms	(hypot 1 (pow (exp 1) (/ x 2)))
8.0ms	(pow (exp 1) (/ x 2))

series125.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(hypot 1 (pow (exp 1) (/ x 2)))
29.0ms	(pow (exp 1) (/ x 2))

simplify1.7s

Counts

50 → 50

Iterations

Iter	Nodes
done	5006
3	1774
2	582
1	251
0	99

prune247.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(hypot 1 (exp (* 1/2 x)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `hypot-udef` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(hypot 1 (exp (* 1/2 x)))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(hypot 1 (exp (* 1/2 x)))

simplify2.2s

Counts

14 → 14

Iterations

Iter	Nodes
done	5001
4	1989
3	587
2	200
1	78
0	38

prune57.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.5s	6419×	body	10240	exit
1.8s	12442×	body	80	nan
869.0ms	7410×	body	80	valid
174.0ms	718×	body	160	valid