Details

sample47.0ms

Algorithm

intervals

Results

26.0ms

505×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	2602
5	517
4	140
3	49
2	25
1	11
0	6

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (- 1.0 (* x x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
7×	`add-sqr-sqrt`
5×	`distribute-neg-in` `*-un-lft-identity` `exp-sum` `add-cube-cbrt` `add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`prod-diff` `rem-exp-log`
2×	`neg-log` `difference-of-squares`
1×	`neg-sub0` `exp-neg` `expm1-log1p-u` `pow1` `neg-mul-1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `log1p-expm1-u`

Counts

1 → 31

Calls

1 calls:

18.0ms

(exp (- (- 1.0 (* x x))))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(exp (- (- 1.0 (* x x))))

simplify3.5s

Counts

34 → 34

Iterations

Iter	Nodes
done	5001
3	2519
2	401
1	140
0	75

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp x) x)
0.0b	(* (exp (- 1.0)) (pow (exp x) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`unpow-prod-down` `associate-r`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `exp-prod` `associate-l` `prod-exp` `add-exp-log` `unswap-sqr` `sqr-pow`
2×	`expm1-log1p-u` `pow-to-exp` `associate-*l/` `pow-exp` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `exp-neg` `exp-diff` `*-commutative` `cbrt-unprod`

Counts

2 → 51

Calls

2 calls:

6.0ms	(pow (exp x) x)
51.0ms	(* (exp (- 1.0)) (pow (exp x) x))

series220.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(pow (exp x) x)
178.0ms	(* (exp (- 1.0)) (pow (exp x) x))

simplify980.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
2	1222
1	213
0	86

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
0.0b	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
0.0b	(* (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
46×	`prod-exp`
31×	`add-sqr-sqrt`
19×	`add-cbrt-cube`
18×	`associate-*r/`
16×	`sqrt-div`
15×	`associate-l`
13×	`associate-r`
12×	`sqrt-prod` `unswap-sqr`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-to-exp` `pow1` `unpow-prod-down` `pow-exp` `cbrt-unprod`
8×	`neg-sub0` `exp-neg` `exp-diff`
6×	`sqr-pow`
4×	`frac-times`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/`
1×	`pow2` `pow-plus` `swap-sqr` `pow-prod-down` `pow-sqr` `pow-prod-up`

Counts

3 → 116

Calls

3 calls:

31.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
43.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
201.0ms	(* (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

series567.0ms

Counts

3 → 9

Calls

3 calls:

229.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
184.0ms	(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))
154.0ms	(* (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

simplify1.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1758
1	362
0	130

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b

(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))

0.0b

(* (* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0))))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

0.0b

(* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0)))))

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
39×	`prod-exp`
31×	`add-cbrt-cube`
26×	`associate-*r/`
20×	`add-sqr-sqrt`
19×	`cbrt-unprod`
18×	`associate-l`
17×	`pow1`
16×	`sqrt-div`
13×	`sqrt-prod`
11×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`neg-sub0` `exp-neg` `unpow-prod-down` `exp-diff` `associate-r`
6×	`unswap-sqr`
4×	`frac-times` `pow-to-exp` `pow-exp` `sqr-pow`
3×	`expm1-log1p-u` `pow1/2` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-unprod` `associate-*l/`

Counts

3 → 107

Calls

3 calls:

29.0ms

(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))

345.0ms

(* (* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0))))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

80.0ms

(* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0)))))

series569.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms

(* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0))))

190.0ms

(* (* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0))))) (* (pow (exp x) (/ x 2)) (sqrt (exp (- 1.0)))))

172.0ms

(* (sqrt (pow (exp x) (/ x 2))) (* (sqrt (pow (exp x) (/ x 2))) (sqrt (exp (- 1.0)))))

simplify4.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	4356
1	464
0	167

prune480.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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	18
1	18
0	14

end0.0ms

sample874.0ms

Algorithm

intervals

Results

642.0ms

16089×

body

valid