Details

sample443.0ms

Algorithm

intervals

Results

239.0ms	224×	body	10240	exit
93.0ms	241×	body	80	valid
41.0ms	407×	body	80	nan
5.0ms	22×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 37

Calls

2 calls:

8.0ms	(sqrt (+ (exp x) 1))
8.0ms	(+ (exp x) 1)

series55.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(sqrt (+ (exp x) 1))
16.0ms	(+ (exp x) 1)

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
4	2695
3	864
2	344
1	144
0	63

prune391.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* E (exp (exp x))))
0.0b	(sqrt (log (* E (exp (exp x)))))
0.1b	(exp (exp x))
0.1b	(* E (exp (exp x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log-pow` `log1p-expm1-u`
3×	`exp-prod` `rem-log-exp` `associate-r` `associate-l` `pow-prod-down`
2×	`e-exp-1`
1×	`rem-sqrt-square` `log-prod` `sqrt-pow1` `pow1/2` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

10.0ms	(log (* E (exp (exp x))))
17.0ms	(sqrt (log (* E (exp (exp x)))))
6.0ms	(exp (exp x))
22.0ms	(* E (exp (exp x)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(log (* E (exp (exp x))))
213.0ms	(sqrt (log (* E (exp (exp x)))))
34.0ms	(exp (exp x))
48.0ms	(* E (exp (exp x)))

simplify2.8s

Counts

78 → 78

Iterations

Iter	Nodes
4	3318
3	1314
2	476
1	203
0	103

prune736.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))
0.0b	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
0.1b	(* (+ (exp x) 1) (+ (exp x) 1))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
28×	`*-un-lft-identity`
26×	`cbrt-div`
18×	`associate-*r/`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`pow-plus` `pow-prod-up`
6×	`swap-sqr` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`pow2` `fma-def` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 156

Calls

4 calls:

7.0ms	(+ (exp x) 1)
71.0ms	(* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))
47.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
45.0ms	(* (+ (exp x) 1) (+ (exp x) 1))

series75.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (exp x) 1)
32.0ms	(* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))
15.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
20.0ms	(* (+ (exp x) 1) (+ (exp x) 1))

simplify4.8s

Counts

168 → 168

Iterations

Iter	Nodes
3	5577
2	1907
1	596
0	183

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample9.6s

Algorithm

intervals

Results

5.9s	6476×	body	10240	exit
1.7s	12252×	body	80	nan
1.4s	7443×	body	80	valid
204.0ms	709×	body	160	valid