Details

Time bar (total: 7.8s)

sample33.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify58.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.1b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.9b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-*r/
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
15.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
35.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
80.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
51.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series445.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
109.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
94.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
205.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify48.0ms

Counts
90 → 90

prune318.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
15.9b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv associate-/l/
1×+-commutative frac-2neg associate-*r/ clear-num sum-log
Counts
4 → 96
Calls
4 calls:
8.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
39.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
103.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
100.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series426.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
90.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
181.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
101.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify50.0ms

Counts
108 → 108

prune438.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

6.9b
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
15.1b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
15.2b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.2b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
66×times-frac
47×add-cube-cbrt *-un-lft-identity
42×sqrt-prod
24×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
10×sqrt-div
9×unswap-sqr
8×pow1
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 150
Calls
4 calls:
243.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
100.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
31.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series517.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
216.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
61.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
57.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify99.0ms

Counts
162 → 162

prune910.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

15.1b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
15.2b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.7b
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.7b
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×times-frac
15×sqrt-prod
6×add-exp-log cbrt-prod associate-/r* add-cbrt-cube
5×pow1 flip3-+ flip-+
4×cbrt-div sqrt-div add-log-exp
3×associate-/l*
2×pow1/3 associate-/r/ associate-/l/
1×cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num div-inv
Counts
4 → 84
Calls
4 calls:
86.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
24.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
11.0ms
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
18.0ms
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series615.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
69.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
201.0ms
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
155.0ms
(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify124.0ms

Counts
96 → 96

prune702.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.0b

bsearch246.0ms

Steps
ItersRangePoint
8
101.2523499030379
5100900.504530251
510884.7615578636
9
-5.8143150944280225e+23
-3.548109290539203e+18
-3.587256939215505e+18

simplify107.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
947.0ms8000×body80valid