Details

Time bar (total: 45.8s)

sample43.0ms

Algorithm
intervals
Results
20.0ms336×body80valid

simplify7.5s

Counts
1 → 1
Iterations
IterNodes
done5000
91994
8734
7448
6360
5295
4235
3152
273
127
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
12.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
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×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
116.0ms
(* (* z z) (+ z 1.0))
63.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series242.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(* (* z z) (+ z 1.0))
135.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify4.1s

Counts
57 → 57
Iterations
IterNodes
done5101
22060
1369
0112

prune679.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.8b
(/ x (* z z))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
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×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
19.0ms
(/ y (+ z 1.0))
275.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
17.0ms
(/ x (* z z))

series205.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (+ z 1.0))
100.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
47.0ms
(/ x (* z z))

simplify4.8s

Counts
116 → 116
Iterations
IterNodes
done5005
22289
1539
0180

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
134.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
407.0ms
(cbrt x)
647.0ms
(cbrt x)
411.0ms
(cbrt x)
138.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify4.9s

Counts
100 → 100
Iterations
IterNodes
done5001
22259
1515
0161

prune998.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize319.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
20.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
20.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
20.9b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

rewrite685.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
21×cbrt-div
20×frac-times associate-*r/
12×associate-*l/
9×pow1
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 103
Calls
4 calls:
199.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
248.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
114.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
103.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
1.0s
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
599.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
512.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

simplify7.4s

Counts
115 → 115
Iterations
IterNodes
done5001
22333
1622
0217

prune2.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.8s10794×body80valid