Details

Time bar (total: 14.9s)

sample25.0ms

Algorithm
intervals
Results
12.0ms334×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
91929
8769
7500
6391
5317
4249
3162
275
127
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
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 times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
38.0ms
(* (* z z) (+ z 1.0))
31.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (* z z) (+ z 1.0))
93.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.3s

Counts
61 → 61
Iterations
IterNodes
done5000
22069
1376
0116

prune326.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.1b
(/ x (* z z))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 113
Calls
3 calls:
14.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0ms
(/ x (* z z))

series163.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (+ z 1.0))
76.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
37.0ms
(/ x (* z z))

simplify1.4s

Counts
122 → 122
Iterations
IterNodes
done5000
22329
1539
0186

prune609.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.5b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.3b
(* (/ x z) (/ y (+ z 1.0)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 155
Calls
3 calls:
16.0ms
(/ y (+ z 1.0))
63.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
60.0ms
(* (/ x z) (/ y (+ z 1.0)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
69.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
73.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.9s

Counts
164 → 164
Iterations
IterNodes
done5006
22948
1777
0263

prune781.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ x z) (/ y (+ z 1.0)))
23.2b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
23.2b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
23.2b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity times-frac
21×cbrt-div
19×add-cube-cbrt
18×associate-*r*
16×frac-times add-cbrt-cube associate-*r/ add-exp-log
13×associate-*l*
10×associate-*l/
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-prod pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 111
Calls
4 calls:
39.0ms
(* (/ x z) (/ y (+ z 1.0)))
43.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
35.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
36.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (/ x z) (/ y (+ z 1.0)))
170.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
194.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
180.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify1.8s

Counts
123 → 123
Iterations
IterNodes
done5000
22034
1633
0224

prune889.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes262.0ms

Accuracy

21.5% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.6b

bsearch114.0ms

Steps
ItersRangePoint
9
8.97644838861031e-180
7.953514856320962e-175
9.347193161816745e-180
8
-7.333191374273013e-239
-2.280599987425583e-242
-1.1422384908325848e-241

simplify6.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s10797×body80valid