Details

Time bar (total: 14.0s)

sample35.0ms

Algorithm
intervals
Results
17.0ms358×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
15.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite69.0ms

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:
42.0ms
(* (* z z) (+ z 1.0))
24.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (* z z) (+ z 1.0))
90.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.5s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune293.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.7b
(/ x (* z z))

rewrite68.0ms

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:
9.0ms
(/ y (+ z 1.0))
43.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms
(/ x (* z z))

series172.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ y (+ z 1.0))
78.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
39.0ms
(/ x (* z z))

simplify2.3s

Counts
122 → 122
Iterations
IterNodes
done5001
23962
1559
0186

prune816.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(* (cbrt x) (cbrt x))

series924.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt x)
236.0ms
(cbrt x)
230.0ms
(cbrt x)
217.0ms
(* (cbrt x) (cbrt x))

simplify1.1s

Counts
93 → 93
Iterations
IterNodes
done5000
2711
1142
065

prune536.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.4b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite126.0ms

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:
9.0ms
(/ y (+ z 1.0))
63.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
47.0ms
(* (/ x z) (/ y (+ z 1.0)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
51.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify818.0ms

Counts
164 → 164
Iterations
IterNodes
done5001
1843
0263

prune753.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes335.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample807.0ms

Algorithm
intervals
Results
527.0ms10771×body80valid