Details

Time bar (total: 13.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms270×body80valid

simplify75.0ms

Counts
1 → 1
Iterations
IterNodes
done117
6117
5112
488
359
237
121
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 2 expressions with local error:

2.4b
(* y (+ 1.0 (* z z)))
5.5b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite36.0ms

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-+ 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 → 70
Calls
2 calls:
13.0ms
(* y (+ 1.0 (* z z)))
21.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series221.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(* y (+ 1.0 (* z z)))
137.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.5s

Counts
76 → 76
Iterations
IterNodes
done5002
22178
1436
0156

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize26.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
4.5b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite113.0ms

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-+ 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:
75.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
30.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series191.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
92.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify1.1s

Counts
174 → 174
Iterations
IterNodes
done5001
1939
0292

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
2.4b
(* y (+ 1.0 (* z z)))
5.4b
(* (* y (+ 1.0 (* z z))) x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow1
8×*-un-lft-identity add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* associate-*r/
4×associate-*l* pow-prod-down associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
22.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
16.0ms
(* y (+ 1.0 (* z z)))
47.0ms
(* (* y (+ 1.0 (* z z))) x)

series288.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
83.0ms
(* y (+ 1.0 (* z z)))
57.0ms
(* (* y (+ 1.0 (* z z))) x)

simplify1.7s

Counts
76 → 76
Iterations
IterNodes
done5001
22535
1385
0128

prune508.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.2b

localize28.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ (/ 1.0 x) (* (* (cbrt (* y (+ 1.0 (* z z)))) (cbrt (* y (+ 1.0 (* z z))))) (cbrt (* y (+ 1.0 (* z z))))))
18.2b
(cbrt (* y (+ 1.0 (* z z))))
18.2b
(cbrt (* y (+ 1.0 (* z z))))
18.2b
(cbrt (* y (+ 1.0 (* z z))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r/
60×cbrt-div
31×times-frac
30×flip3-+ flip-+
28×frac-times
26×associate-/r/
25×add-exp-log
18×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-cbrt-cube
14×associate-*l/
13×associate-/l*
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×pow1 add-log-exp
3×cbrt-prod pow1/3 div-inv
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 109
Calls
4 calls:
91.0ms
(/ (/ 1.0 x) (* (* (cbrt (* y (+ 1.0 (* z z)))) (cbrt (* y (+ 1.0 (* z z))))) (cbrt (* y (+ 1.0 (* z z))))))
9.0ms
(cbrt (* y (+ 1.0 (* z z))))
9.0ms
(cbrt (* y (+ 1.0 (* z z))))
10.0ms
(cbrt (* y (+ 1.0 (* z z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
122.0ms
(/ (/ 1.0 x) (* (* (cbrt (* y (+ 1.0 (* z z)))) (cbrt (* y (+ 1.0 (* z z))))) (cbrt (* y (+ 1.0 (* z z))))))
296.0ms
(cbrt (* y (+ 1.0 (* z z))))
294.0ms
(cbrt (* y (+ 1.0 (* z z))))
288.0ms
(cbrt (* y (+ 1.0 (* z z))))

simplify2.0s

Counts
121 → 121
Iterations
IterNodes
done5000
22707
1708
0252

prune777.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.2b

regimes962.0ms

Accuracy

72.3% (1.7b remaining)

Error of 2.3b against oracle of 0.6b and baseline of 6.7b

bsearch2.0ms

simplify11.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample875.0ms

Algorithm
intervals
Results
573.0ms8621×body80valid