Details

Time bar (total: 10.5s)

sample42.0ms

Algorithm
intervals
Results
29.0ms275×body80valid

simplify70.0ms

Counts
1 → 1
Iterations
IterNodes
done112
5112
488
359
237
121
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize20.0ms

Local error

Found 2 expressions with local error:

3.4b
(* y (+ 1.0 (* z z)))
4.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite33.0ms

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×flip3-+ associate-/r/ flip-+ insert-posit16 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 → 72
Calls
2 calls:
16.0ms
(* y (+ 1.0 (* z z)))
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series118.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* y (+ 1.0 (* z z)))
60.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.4s

Counts
78 → 78
Iterations
IterNodes
done5007
21765
1427
0158

prune271.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.8b

localize18.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
3.9b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×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 associate-/r/
3×rec-exp associate-/r* 1-exp
2×flip3-+ flip-+ insert-posit16 add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 170
Calls
2 calls:
21.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
10.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
55.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify1.3s

Counts
176 → 176
Iterations
IterNodes
done5115
22835
1897
0294

prune612.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 x))
1.2b
(* (/ 1.0 y) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (sqrt (+ 1.0 (* z z)))))
16.1b
(sqrt (+ 1.0 (* z z)))
16.1b
(sqrt (+ 1.0 (* z z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×times-frac
25×add-exp-log
23×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube
13×cbrt-prod associate-*l*
12×associate-*r*
11×sqrt-prod
8×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×sqrt-div unswap-sqr
4×insert-posit16 add-log-exp
3×flip3-+ flip-+ div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×frac-times cbrt-div pow1/3 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 111
Calls
4 calls:
4.0ms
(cbrt (/ 1 x))
27.0ms
(* (/ 1.0 y) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (sqrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (/ 1 x))
131.0ms
(* (/ 1.0 y) (/ (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (sqrt (+ 1.0 (* z z)))))
45.0ms
(sqrt (+ 1.0 (* z z)))
44.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.8s

Counts
123 → 123
Iterations
IterNodes
done5002
22234
1600
0231

prune524.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.8b

localize17.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))
3.8b
(* x (+ 1.0 (* z z)))

rewrite25.0ms

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×flip3-+ associate-/r/ flip-+ insert-posit16 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 → 72
Calls
2 calls:
14.0ms
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))
10.0ms
(* x (+ 1.0 (* z z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (/ 1.0 y) (* x (+ 1.0 (* z z))))
52.0ms
(* x (+ 1.0 (* z z)))

simplify1.5s

Counts
78 → 78
Iterations
IterNodes
done5006
21715
1428
0159

prune325.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 4.8b

regimes483.0ms

Accuracy

0% (0.8b remaining)

Error of 5.9b against oracle of 5.1b and baseline of 5.9b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
852.0ms8597×body80valid