Details

Time bar (total: 22.0s)

sample31.0ms

Algorithm
intervals
Results
15.0ms271×body80valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
done144
6144
5142
4102
367
240
121
09

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize23.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.3b
(* y (+ 1.0 (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 74
Calls
2 calls:
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
30.0ms
(* y (+ 1.0 (* z z)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
76.0ms
(* y (+ 1.0 (* z z)))

simplify1.5s

Counts
80 → 80
Iterations
IterNodes
done5001
22235
1446
0160

prune576.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
2.1b
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y)))
4.7b
(/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
1397×times-frac
587×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
416×cbrt-prod
213×associate-/r*
46×div-inv
30×add-exp-log
21×add-cbrt-cube
15×cbrt-undiv div-exp
6×cbrt-div
4×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u associate-/l* add-log-exp
3×prod-exp cbrt-unprod associate-/l/
2×clear-num frac-2neg pow1/3
1×frac-times associate-*l/ associate-*r/
Counts
4 → 627
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
84.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y)))
34.0ms
(/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y))

series1.2s

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (/ 1.0 x))
318.0ms
(cbrt (/ 1.0 x))
204.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y)))
400.0ms
(/ (fma z z 1.0) (/ (cbrt (/ 1.0 x)) y))

simplify2.8s

Counts
639 → 639
Iterations
IterNodes
done5001
13206
01032

prune4.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (sqrt 1.0) x))
0.7b
(/ (sqrt (fma z z 1.0)) (/ (cbrt (/ (sqrt 1.0) x)) y))
16.5b
(sqrt (fma z z 1.0))
16.5b
(sqrt (fma z z 1.0))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
1395×times-frac
657×add-sqr-sqrt
655×*-un-lft-identity add-cube-cbrt
484×cbrt-prod
444×sqrt-prod
79×associate-/r*
30×div-inv
9×add-exp-log
8×add-cbrt-cube
6×pow1 associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-div clear-num frac-2neg pow1/3 associate-/r/
Counts
4 → 639
Calls
4 calls:
6.0ms
(cbrt (/ (sqrt 1.0) x))
63.0ms
(/ (sqrt (fma z z 1.0)) (/ (cbrt (/ (sqrt 1.0) x)) y))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
320.0ms
(cbrt (/ (sqrt 1.0) x))
559.0ms
(/ (sqrt (fma z z 1.0)) (/ (cbrt (/ (sqrt 1.0) x)) y))
78.0ms
(sqrt (fma z z 1.0))
62.0ms
(sqrt (fma z z 1.0))

simplify2.2s

Counts
651 → 651
Iterations
IterNodes
done5001
12445
0929

prune4.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 2 expressions with local error:

3.5b
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
3.6b
(/ (/ 1 x) (fma z z 1.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp associate-/r* 1-exp
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
38.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
10.0ms
(/ (/ 1 x) (fma z z 1.0))

series141.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
70.0ms
(/ (/ 1 x) (fma z z 1.0))

simplify986.0ms

Counts
174 → 174
Iterations
IterNodes
done5000
1874
0285

prune775.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.4b

regimes424.0ms

Accuracy

61% (1.5b remaining)

Error of 3.6b against oracle of 2.1b and baseline of 6.0b

bsearch107.0ms

Steps
ItersRangePoint
6
3.881336240731065e+142
3.407450257203932e+143
7.814277317978629e+142
10
-154130335284.9803
-27.16127718389199
-392280970.2843674

simplify4.0ms

Iterations
IterNodes
done28
128
020

end0.0ms

sample722.0ms

Algorithm
intervals
Results
484.0ms8609×body80valid