Details

Time bar (total: 7.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
11.0ms
(+ x (/ 1.0 3.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ 1.0 3.0))

simplify1.7s

Counts
20 → 20
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
030135
183129
2226119
3628119
41934119
done5001119

prune72.0ms

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
(+ x (/ 1.0 3.0))
0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.1b
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 121
Calls
4 calls:
21.0ms
(+ x (/ 1.0 3.0))
38.0ms
(sqrt (+ x (/ 1.0 3.0)))
28.0ms
(sqrt (+ x (/ 1.0 3.0)))
134.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ x (/ 1.0 3.0))
45.0ms
(sqrt (+ x (/ 1.0 3.0)))
38.0ms
(sqrt (+ x (/ 1.0 3.0)))
32.0ms
(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify944.0ms

Counts
133 → 133
Iterations

Useful iterations: done (940.0ms)

IterNodesCost
01151805
12661249
211731147
done50011130

prune300.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))
0.0b
(sqrt (+ x (/ 1.0 3.0)))
0.1b
(* (hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (+ x (/ 1.0 3.0))))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
46×add-sqr-sqrt
40×*-un-lft-identity
37×times-frac
36×add-cube-cbrt
8×add-exp-log add-cbrt-cube
7×pow1 associate-*r*
6×associate-/r* associate-/l*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×associate-*l*
2×hypot-udef flip3-+ associate-*r/ flip-+ hypot-def distribute-lft-out unswap-sqr
1×cbrt-undiv rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-unprod div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 121
Calls
4 calls:
0.0ms
(hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))
23.0ms
(sqrt (+ x (/ 1.0 3.0)))
53.0ms
(* (hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (+ x (/ 1.0 3.0))))
13.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series1.4s

Counts
4 → 10
Calls
4 calls:
455.0ms
(hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0)))
41.0ms
(sqrt (+ x (/ 1.0 3.0)))
928.0ms
(* (hypot (sqrt x) (/ (sqrt 1.0) (sqrt 3.0))) (sqrt (+ x (/ 1.0 3.0))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02422148
15621854
225381701
done50021692

prune406.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample461.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid