Details

sample286.0ms

Algorithm

intervals

Results

119.0ms	190×	body	10240	exit
30.0ms	379×	body	80	nan
17.0ms	238×	body	80	valid
3.0ms	22×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

11.0ms	(+ (exp x) 1)
21.0ms	(sqrt (+ (exp x) 1))

series59.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (exp x) 1)
43.0ms	(sqrt (+ (exp x) 1))

simplify1.2s

Counts

45 → 45

Iterations

Iter	Nodes
4	2680
3	862
2	345
1	146
0	65

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (fma (exp x) (exp x) 1) (exp x)))
0.0b	(+ (exp (* 3 x)) 1)
0.0b	(exp (* 3 x))
0.0b	(/ (sqrt (+ (exp (* 3 x)) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

81×	`sqrt-prod`
78×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
56×	`times-frac`
40×	`add-cube-cbrt`
10×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r*` `add-log-exp`
7×	`associate-/l*`
6×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `sqrt-undiv` `exp-prod` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `exp-to-pow` `pow1/2` `div-exp` `div-inv` `rem-exp-log`

Counts

4 → 142

Calls

4 calls:

9.0ms	(sqrt (- (fma (exp x) (exp x) 1) (exp x)))
10.0ms	(+ (exp (* 3 x)) 1)
4.0ms	(exp (* 3 x))
29.0ms	(/ (sqrt (+ (exp (* 3 x)) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (- (fma (exp x) (exp x) 1) (exp x)))
18.0ms	(+ (exp (* 3 x)) 1)
12.0ms	(exp (* 3 x))
96.0ms	(/ (sqrt (+ (exp (* 3 x)) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

simplify1.4s

Counts

154 → 154

Iterations

Iter	Nodes
3	2273
2	825
1	380
0	199

prune663.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (exp x) (exp x) 1) (exp x))
0.0b	(exp (* 3 x))
0.0b	(exp (* 3 x))
0.0b	(/ (sqrt (fma (sqrt (exp (* 3 x))) (sqrt (exp (* 3 x))) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

62×	`sqrt-prod`
59×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`times-frac`
43×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`prod-diff`
8×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`exp-prod` `flip3--` `exp-to-pow` `sqrt-div` `associate-/r/` `flip--` `rem-exp-log`
1×	`cbrt-undiv` `sqrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `associate--l+` `fma-udef` `div-inv`

Counts

4 → 136

Calls

4 calls:

12.0ms	(- (fma (exp x) (exp x) 1) (exp x))
13.0ms	(exp (* 3 x))
7.0ms	(exp (* 3 x))
16.0ms	(/ (sqrt (fma (sqrt (exp (* 3 x))) (sqrt (exp (* 3 x))) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (fma (exp x) (exp x) 1) (exp x))
12.0ms	(exp (* 3 x))
11.0ms	(exp (* 3 x))
155.0ms	(/ (sqrt (fma (sqrt (exp (* 3 x))) (sqrt (exp (* 3 x))) 1)) (sqrt (- (fma (exp x) (exp x) 1) (exp x))))

simplify1.2s

Counts

148 → 148

Iterations

Iter	Nodes
3	2347
2	826
1	376
0	203

prune734.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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
2	6
1	6
0	5

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.3s	6542×	body	10240	exit
2.0s	12405×	body	80	nan
932.0ms	7401×	body	80	valid
198.0ms	725×	body	160	valid