Details

Time bar (total: 16.7s)

sample35.0ms

Algorithm
intervals
Results
19.0ms325×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5000
91929
8769
7500
6391
5317
4249
3162
275
127
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
55.0ms
(* (* z z) (+ z 1.0))
53.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (* z z) (+ z 1.0))
99.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.8s

Counts
63 → 63
Iterations
IterNodes
done5125
22135
1380
0118

prune274.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.8b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ x (* z z))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 116
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
84.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
17.0ms
(/ x (* z z))

series166.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ z 1.0))
79.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
41.0ms
(/ x (* z z))

simplify1.5s

Counts
125 → 125
Iterations
IterNodes
done5001
22371
1555
0189

prune508.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.8b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 111
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
67.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series951.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
261.0ms
(cbrt x)
257.0ms
(cbrt x)
161.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify1.4s

Counts
123 → 123
Iterations
IterNodes
done5000
21855
1542
0186

prune721.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt x)
242.0ms
(cbrt x)
306.0ms
(cbrt x)
246.0ms
(cbrt x)

simplify3.5s

Counts
68 → 68
Iterations
IterNodes
done5011
64856
51192
4406
3186
297
147
027

prune541.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample864.0ms

Algorithm
intervals
Results
624.0ms10921×body80valid