Details

Time bar (total: 12.0s)

sample28.0ms

Algorithm
intervals
Results
15.0ms528×body80valid

simplify845.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×exp-prod
6×add-sqr-sqrt
5×add-log-exp
4×distribute-lft-neg-in add-cube-cbrt distribute-rgt-neg-in *-un-lft-identity
3×rem-exp-log
2×distribute-neg-in exp-sum neg-log difference-of-squares
1×pow1 add-exp-log neg-sub0 exp-neg neg-mul-1 sub-neg exp-diff diff-log add-cbrt-cube
Counts
1 → 26
Calls
1 calls:
23.0ms
(exp (- (- 1.0 (* x x))))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(exp (- (- 1.0 (* x x))))

simplify396.0ms

Counts
29 → 29

prune79.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (+ (sqrt 1.0) x)))
0.0b
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
24×exp-prod
20×*-un-lft-identity
14×add-sqr-sqrt
13×pow-pow
10×add-cube-cbrt
8×distribute-lft-neg-in distribute-rgt-neg-in
6×pow-unpow add-log-exp
4×unpow-prod-down distribute-lft-out
3×pow1 rem-exp-log
2×unpow-prod-up add-exp-log neg-mul-1 distribute-neg-in exp-sum neg-log add-cbrt-cube difference-of-squares
1×neg-sub0 exp-neg pow-to-exp sub-neg exp-diff pow-exp sum-log sqrt-prod distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 61
Calls
2 calls:
74.0ms
(exp (- (+ (sqrt 1.0) x)))
87.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series269.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(exp (- (+ (sqrt 1.0) x)))
236.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify1.3s

Counts
67 → 67

prune143.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite523.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
65×add-sqr-sqrt
45×*-un-lft-identity
36×exp-prod
32×unpow-prod-down
29×add-cube-cbrt
26×pow-pow
17×swap-sqr
16×unpow-prod-up unswap-sqr
14×sqr-pow
13×pow1 associate-*r* associate-*l*
12×distribute-lft-neg-in pow-unpow distribute-rgt-neg-in
8×sub-neg add-log-exp
7×distribute-neg-in exp-sum
6×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube distribute-lft-out pow-sub
4×sqrt-div difference-of-squares
3×neg-mul-1 pow-prod-down pow-sqr pow-prod-up rem-exp-log
2×pow-to-exp neg-log pow-exp distribute-lft-out--
1×pow2 neg-sub0 exp-neg frac-times pow-plus exp-diff sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 182
Calls
4 calls:
70.0ms
(exp (- (+ (sqrt 1.0) x)))
303.0ms
(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))))
68.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
70.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series827.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(exp (- (+ (sqrt 1.0) x)))
279.0ms
(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))))
248.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))
270.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify691.0ms

Counts
194 → 194

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite463.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
32×*-un-lft-identity
30×pow-pow
28×exp-prod
25×unpow-prod-down
24×add-cube-cbrt sqrt-prod
22×associate-*l*
18×pow-sub
13×associate-*r* unswap-sqr
12×add-exp-log pow-unpow sqr-pow
10×unpow-prod-up distribute-lft-neg-in distribute-rgt-neg-in sqrt-div prod-exp
8×pow1 pow-to-exp pow-exp add-cbrt-cube
6×frac-times associate-*r/
5×sub-neg pow-prod-down
4×associate-*l/ add-log-exp difference-of-squares
3×distribute-neg-in exp-sum
2×neg-mul-1 sqrt-pow1 pow1/2 *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
1×sqrt-unprod swap-sqr
Counts
4 → 167
Calls
4 calls:
73.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
27.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))
247.0ms
(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))))
105.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

series1.9s

Counts
4 → 12
Calls
4 calls:
429.0ms
(* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))
132.0ms
(pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x))
1.0s
(* (sqrt (pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))) (sqrt (* (pow (exp (- (sqrt 1.0))) (- (sqrt 1.0) x)) (pow (exp (- x)) (- (sqrt 1.0) x)))))
297.0ms
(pow (exp (- (+ (sqrt 1.0) x))) (- (sqrt 1.0) x))

simplify972.0ms

Counts
179 → 179

prune824.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify751.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
694.0ms15911×body80valid