Details

sample340.0ms

Algorithm

intervals

Results

161.0ms	202×	body	10240	exit
40.0ms	414×	body	80	nan
23.0ms	236×	body	80	valid
4.0ms	21×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
7	3030
6	796
5	283
4	106
3	51
2	28
1	22
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

18.0ms	(sqrt (+ (exp x) 1))
18.0ms	(+ (exp x) 1)

series89.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(sqrt (+ (exp x) 1))
26.0ms	(+ (exp x) 1)

simplify1.8s

Counts

45 → 45

Iterations

Iter	Nodes
4	2684
3	860
2	346
1	146
0	65

prune388.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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:

5.0ms	(sqrt (exp x))
1.0ms	(hypot (sqrt (exp x)) 1)

series161.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(sqrt (exp x))
138.0ms	(hypot (sqrt (exp x)) 1)

simplify4.5s

Counts

36 → 36

Iterations

Iter	Nodes
5	6010
4	1793
3	568
2	216
1	102
0	61

prune365.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(hypot (cbrt (* (exp x) (sqrt (exp x)))) 1)
0.0b	(* (exp x) (sqrt (exp x)))
0.1b	(cbrt (* (exp x) (sqrt (exp x))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`exp-prod`
8×	`sqrt-pow1`
7×	`sqrt-prod`
6×	`add-cbrt-cube` `associate-r`
5×	`add-exp-log` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`pow1/2` `pow3` `unswap-sqr`
1×	`cbrt-prod` `rem-sqrt-square` `hypot-udef` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

5.0ms	(sqrt (exp x))
0.0ms	(hypot (cbrt (* (exp x) (sqrt (exp x)))) 1)
24.0ms	(* (exp x) (sqrt (exp x)))
10.0ms	(cbrt (* (exp x) (sqrt (exp x))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp x))
111.0ms	(hypot (cbrt (* (exp x) (sqrt (exp x)))) 1)
44.0ms	(* (exp x) (sqrt (exp x)))
22.0ms	(cbrt (* (exp x) (sqrt (exp x))))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
4	2681
3	1064
2	450
1	200
0	105

prune835.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (expm1 (log1p (+ (exp x) 1))))
0.0b	(+ (exp x) 1)
0.1b	(expm1 (log1p (+ (exp x) 1)))
0.1b	(log1p (+ (exp x) 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

1.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
8.0ms	(+ (exp x) 1)
0.0ms	(expm1 (log1p (+ (exp x) 1)))
3.0ms	(log1p (+ (exp x) 1))

series400.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(sqrt (expm1 (log1p (+ (exp x) 1))))
14.0ms	(+ (exp x) 1)
152.0ms	(expm1 (log1p (+ (exp x) 1)))
72.0ms	(log1p (+ (exp x) 1))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
4	2773
3	961
2	411
1	189
0	91

prune648.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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

sample9.9s

Algorithm

intervals

Results

6.5s	6763×	body	10240	exit
1.9s	12868×	body	80	nan
938.0ms	7407×	body	80	valid
199.0ms	698×	body	160	valid