Details

Time bar (total: 22.0s)

sample54.0ms

Algorithm
intervals
Results
28.0ms534×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
067
1117
2257
3497
41406
55646
629386
done50006

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
5×exp-sum
4×add-sqr-sqrt exp-prod add-log-exp
3×add-cube-cbrt *-un-lft-identity prod-diff
2×rem-exp-log
1×pow1 add-exp-log expm1-log1p-u sub-neg exp-diff diff-log add-cbrt-cube log1p-expm1-u difference-of-squares
Counts
1 → 21
Calls
1 calls:
56.0ms
(exp (- (* x x) 1.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(exp (- (* x x) 1.0))

simplify6.2s

Counts
24 → 24
Iterations

Useful iterations: done (6.2s)

IterNodesCost
062234
1120203
2387180
31961164
done5000163

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
20×unpow-prod-up
18×add-cube-cbrt prod-diff
10×sqrt-prod
8×exp-prod
6×pow-unpow
5×pow-pow add-log-exp
4×unpow-prod-down
3×pow1
2×add-exp-log expm1-log1p-u exp-sum add-cbrt-cube log1p-expm1-u rem-exp-log distribute-lft-out difference-of-squares
1×pow-to-exp sub-neg pow-exp sum-log distribute-lft-out-- pow-sub sqr-pow
Counts
2 → 64
Calls
2 calls:
45.0ms
(exp (+ x (sqrt 1.0)))
64.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

series354.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(exp (+ x (sqrt 1.0)))
316.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01471342
14231107
21748968
done5000897

prune354.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
216×sqrt-prod
147×add-sqr-sqrt
136×unpow-prod-up
120×prod-diff
109×*-un-lft-identity
99×add-cube-cbrt
41×swap-sqr
32×unpow-prod-down
31×associate-*r* associate-*l*
16×unswap-sqr
14×sqr-pow
13×pow1
12×pow-unpow exp-prod
10×pow-pow
8×sub-neg
7×exp-sum add-log-exp
6×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube pow-sub
4×expm1-log1p-u sqrt-div log1p-expm1-u difference-of-squares
3×pow-prod-down pow-sqr pow-prod-up distribute-lft-out
2×pow-to-exp pow-exp rem-exp-log distribute-lft-out--
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 259
Calls
4 calls:
38.0ms
(exp (+ x (sqrt 1.0)))
298.0ms
(* (sqrt (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))) (sqrt (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))))
68.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
75.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(exp (+ x (sqrt 1.0)))
249.0ms
(* (sqrt (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))) (sqrt (pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))))
273.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))
271.0ms
(pow (exp (+ x (sqrt 1.0))) (- x (sqrt 1.0)))

simplify3.5s

Counts
271 → 271
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02848735
16595733
229744974
done50004641

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×pow-unpow
19×*-un-lft-identity
18×times-frac
13×add-cube-cbrt
6×difference-of-squares
5×unpow-prod-down add-log-exp
4×exp-sum
3×pow1 pow-pow sqrt-prod distribute-lft-out--
2×add-exp-log distribute-rgt-in expm1-log1p-u exp-prod exp-to-pow distribute-lft-in add-cbrt-cube log1p-expm1-u
1×pow-to-exp div-sub pow-exp div-inv rem-exp-log pow-sub sqr-pow
Counts
2 → 57
Calls
2 calls:
9.0ms
(exp (* 2 (+ x (sqrt 1.0))))
30.0ms
(pow (exp (* 2 (+ x (sqrt 1.0)))) (/ (- x (sqrt 1.0)) 2))

series406.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(exp (* 2 (+ x (sqrt 1.0))))
358.0ms
(pow (exp (* 2 (+ x (sqrt 1.0)))) (/ (- x (sqrt 1.0)) 2))

simplify907.0ms

Counts
63 → 63
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
01211001
1325938
21207896
done5000882

prune280.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11214
done1214

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s16055×body80valid