Details

Time bar (total: 11.8s)

sample29.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify97.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b
(* y (+ 1.0 (* z z)))
4.6b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite40.0ms

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:
21.0ms
(* y (+ 1.0 (* z z)))
15.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series150.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* y (+ 1.0 (* z z)))
86.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.1s

Counts
80 → 80
Iterations
IterNodes
done5001
22244
1443
0160

prune445.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y 1.0) (* z (* z y)))
0.1b
(* z (* z y))
4.6b
(/ (/ 1.0 x) (+ (* y 1.0) (* z (* z y))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log associate-/l*
8×pow1
5×div-inv add-log-exp
3×expm1-log1p-u cbrt-undiv associate-/r* div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×flip3-+ associate-/r/ flip-+
1×+-commutative clear-num sum-log fma-def frac-2neg associate-*r* *-commutative associate-/l/
Counts
3 → 108
Calls
3 calls:
11.0ms
(+ (* y 1.0) (* z (* z y)))
24.0ms
(* z (* z y))
35.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* z (* z y))))

series247.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ (* y 1.0) (* z (* z y)))
33.0ms
(* z (* z y))
106.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* z (* z y))))

simplify1.5s

Counts
117 → 117
Iterations
IterNodes
done5000
22561
1548
0214

prune673.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.6b
(/ (/ 1.0 x) (+ (* y 1.0) (* (* (cbrt z) (cbrt z)) (* (* (cbrt z) y) z))))

rewrite39.0ms

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)
28.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* (cbrt z) (cbrt z)) (* (* (cbrt z) y) z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt z)
293.0ms
(cbrt z)
343.0ms
(cbrt z)
119.0ms
(/ (/ 1.0 x) (+ (* y 1.0) (* (* (cbrt z) (cbrt z)) (* (* (cbrt z) y) z))))

simplify1.1s

Counts
125 → 125
Iterations
IterNodes
done5000
22189
1500
0201

prune852.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma z (* y z) (* y 1.0))
0.8b
(/ 1 (fma z (* y z) (* y 1.0)))
4.5b
(* (/ 1.0 x) (/ 1 (fma z (* y z) (* y 1.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×times-frac
29×add-exp-log
27×*-un-lft-identity
25×add-cube-cbrt
17×add-cbrt-cube
13×associate-*r* associate-*l*
10×div-exp
8×prod-exp
6×pow1 unswap-sqr
5×cbrt-undiv
4×cbrt-unprod
3×expm1-log1p-u rec-exp associate-/r* 1-exp log1p-expm1-u div-inv associate-/l* add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 102
Calls
3 calls:
1.0ms
(fma z (* y z) (* y 1.0))
7.0ms
(/ 1 (fma z (* y z) (* y 1.0)))
31.0ms
(* (/ 1.0 x) (/ 1 (fma z (* y z) (* y 1.0))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(fma z (* y z) (* y 1.0))
59.0ms
(/ 1 (fma z (* y z) (* y 1.0)))
115.0ms
(* (/ 1.0 x) (/ 1 (fma z (* y z) (* y 1.0))))

simplify1.8s

Counts
111 → 111
Iterations
IterNodes
done5000
22673
1492
0173

prune508.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes693.0ms

Accuracy

49.4% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 3.7b

bsearch2.0ms

simplify3.0ms

Iterations
IterNodes
done30
130
025

end0.0ms

sample890.0ms

Algorithm
intervals
Results
531.0ms8616×body80valid