Details

Time bar (total: 10.3s)

sample28.0ms

Algorithm
intervals
Results
10.0ms268×body80valid

simplify129.0ms

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
20.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
13.0ms
(* y (+ 1.0 (* z z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
72.0ms
(* y (+ 1.0 (* z z)))

simplify1.0s

Counts
80 → 80
Iterations
IterNodes
done5001
22235
1446
0160

prune470.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* y z) z)
3.1b
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
45×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
12×add-cbrt-cube add-exp-log
7×pow1
5×div-inv
3×cbrt-undiv associate-/r* div-exp associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-+ associate-*l* *-commutative flip-+ associate-/l/
Counts
2 → 94
Calls
2 calls:
14.0ms
(* (* y z) z)
18.0ms
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (* y z) z)
84.0ms
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* y z) z)))

simplify1.3s

Counts
100 → 100
Iterations
IterNodes
done5001
22585
1526
0205

prune538.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.1b
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (cbrt z) (* z (* y (cbrt z)))) (cbrt z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
9×cbrt-prod add-cbrt-cube add-exp-log
5×div-inv
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* pow1/3 div-exp
2×associate-/r/
1×clear-num frac-2neg flip3-+ flip-+ associate-/l/
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
24.0ms
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (cbrt z) (* z (* y (cbrt z)))) (cbrt z))))

series868.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt z)
264.0ms
(cbrt z)
222.0ms
(cbrt z)
116.0ms
(/ (/ 1.0 x) (+ (* 1.0 y) (* (* (cbrt z) (* z (* y (cbrt z)))) (cbrt z))))

simplify991.0ms

Counts
125 → 125
Iterations
IterNodes
done5000
22177
1502
0202

prune764.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* (* y (fma z z 1.0)) x))
2.9b
(* (* y (fma z z 1.0)) x)
3.8b
(* y (fma z z 1.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
19×add-cbrt-cube
16×pow1
13×prod-exp
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow-prod-down cbrt-unprod
6×div-exp associate-*r*
4×associate-*l*
3×expm1-log1p-u cbrt-undiv rec-exp times-frac 1-exp log1p-expm1-u pow-flip associate-/l* add-log-exp
2×*-commutative fma-udef
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in div-inv inv-pow unswap-sqr
Counts
3 → 77
Calls
3 calls:
23.0ms
(/ 1 (* (* y (fma z z 1.0)) x))
22.0ms
(* (* y (fma z z 1.0)) x)
11.0ms
(* y (fma z z 1.0))

series170.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 1 (* (* y (fma z z 1.0)) x))
51.0ms
(* (* y (fma z z 1.0)) x)
58.0ms
(* y (fma z z 1.0))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5002
21729
1318
0125

prune401.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes589.0ms

Accuracy

51.6% (1.8b remaining)

Error of 2.0b against oracle of 0.2b and baseline of 3.9b

bsearch2.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
631.0ms8573×body80valid