Details

Time bar (total: 11.4s)

sample45.0ms

Algorithm
intervals
Results
26.0ms515×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
067
1117
2257
3477
41346
55346
627726
done50016

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:
26.0ms
(exp (- (- 1.0 (* x x))))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(exp (- (- 1.0 (* x x))))

simplify1.4s

Counts
29 → 29
Iterations

Useful iterations: 3 (292.0ms)

IterNodesCost
058233
1109222
2317207
31821192
done5001192

prune61.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down associate-*r*
4×pow-pow add-cbrt-cube
3×pow1 add-exp-log pow-unpow exp-prod associate-*l* prod-exp unswap-sqr sqr-pow
2×pow-to-exp associate-*l/ pow-exp add-log-exp
1×neg-sub0 exp-neg exp-diff *-commutative cbrt-unprod
Counts
2 → 47
Calls
2 calls:
43.0ms
(* (exp (- 1.0)) (pow (exp x) x))
5.0ms
(pow (exp x) x)

series190.0ms

Counts
2 → 6
Calls
2 calls:
144.0ms
(* (exp (- 1.0)) (pow (exp x) x))
46.0ms
(pow (exp x) x)

simplify917.0ms

Counts
53 → 53
Iterations

Useful iterations: done (915.0ms)

IterNodesCost
082495
1207460
21183419
done5001399

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
40×prod-exp
16×pow1 add-cbrt-cube
15×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l/
12×unpow-prod-down pow-pow sqrt-pow1 sqrt-div
10×pow-to-exp pow-exp
9×exp-prod sqrt-prod
8×cbrt-unprod
6×neg-sub0 exp-neg pow-unpow exp-diff
4×frac-times add-log-exp
3×pow1/2
2×associate-*r/ sqrt-pow2 sqr-pow
1×pow2 rem-sqrt-square pow-plus swap-sqr associate-*r* associate-*l* pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 112
Calls
4 calls:
6.0ms
(sqrt (exp x))
11.0ms
(pow (sqrt (exp x)) x)
8.0ms
(pow (sqrt (exp x)) x)
258.0ms
(* (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)) (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (exp x))
48.0ms
(pow (sqrt (exp x)) x)
47.0ms
(pow (sqrt (exp x)) x)
209.0ms
(* (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)) (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)))

simplify1.7s

Counts
124 → 124
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01241750
13651393
217211073
done5003981

prune409.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
40×prod-exp
20×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
16×pow-unpow add-cbrt-cube
14×associate-*l/
12×sqrt-div
10×pow1 pow-to-exp pow-pow pow-exp
9×unpow-prod-down exp-prod times-frac
8×sqrt-pow1 cbrt-unprod
6×neg-sub0 exp-neg exp-diff sqrt-prod
4×frac-times add-log-exp
2×pow1/2 associate-*r/ sqr-pow
1×rem-sqrt-square associate-*r* associate-*l* pow-prod-down *-commutative sqrt-pow2 div-inv
Counts
4 → 111
Calls
4 calls:
5.0ms
(sqrt (exp x))
10.0ms
(pow (sqrt (exp x)) x)
10.0ms
(pow (exp x) (/ x 2))
264.0ms
(* (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)) (* (sqrt (exp (- 1.0))) (pow (exp x) (/ x 2))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (exp x))
55.0ms
(pow (sqrt (exp x)) x)
41.0ms
(pow (exp x) (/ x 2))
254.0ms
(* (* (sqrt (exp (- 1.0))) (pow (sqrt (exp x)) x)) (* (sqrt (exp (- 1.0))) (pow (exp x) (/ x 2))))

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01841832
15621607
225291291
done50001196

prune354.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01422
11722
done1722

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s16045×body80valid