Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4530
11	2981
10	1941
9	1327
8	935
7	744
6	622
5	489
4	295
3	139
2	62
1	35
0	18

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.0b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

36.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
31.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
57.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
37.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series540.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
93.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
68.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
129.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1926
1	556
0	192

prune545.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
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)))
17.1b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`associate-r`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `associate-*r/`

Counts

4 → 96

Calls

4 calls:

10.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
31.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
94.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
45.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series553.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(+ x (* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
97.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
156.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
70.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5003
2	2064
1	573
0	209

prune655.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (* y (/ 1 (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
16.4b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
16.4b	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
16.5b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`add-sqr-sqrt` `times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
27×	`add-cbrt-cube` `sqrt-prod`
24×	`associate-r`
18×	`prod-exp`
11×	`pow1`
10×	`div-exp` `cbrt-unprod`
8×	`sqrt-div`
6×	`cbrt-undiv` `associate-/r*`
5×	`flip3-+` `flip-+`
4×	`associate-/r/` `add-log-exp`
3×	`pow-prod-down` `associate-r/` `associate-/l`
2×	`frac-times` `rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-*l/` `un-div-inv` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-l` `*-commutative`

Counts

4 → 129

Calls

4 calls:

145.0ms	(* (* y (/ 1 (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
22.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
21.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
67.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series479.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (* y (/ 1 (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
68.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
62.0ms	(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
176.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify2.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5005
2	2681
1	719
0	250

prune891.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)))
0.0b	(+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y))
0.2b	(* 0.07512208616047561 (/ y z))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`sum-log`
3×	`associate-l`
2×	`+-commutative` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`cbrt-undiv` `associate-+r+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

33.0ms	(+ x (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)))
13.0ms	(+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y))
15.0ms	(* 0.07512208616047561 (/ y z))

series144.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)))
59.0ms	(+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y))
32.0ms	(* 0.07512208616047561 (/ y z))

simplify2.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5005
3	4362
2	1064
1	317
0	112

prune315.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes359.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch176.0ms

Steps

Iters	Range		Point
6	37605091470.942024	241305049775.13605	38319471531.16735
8	-1.8275688213906753e+41	-5.138982737083752e+37	-1.7244690177202538e+41

simplify7.0ms

Iterations

Iter	Nodes
done	46
1	46
0	30

end0.0ms

sample1.0s

Algorithm

intervals

Results

797.0ms

8000×

body

valid