Details

sample46.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify10.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	408
1	35	408
2	62	408
3	139	408
4	295	408
5	489	408
6	622	408
7	744	408
8	935	408
9	1327	408
10	1941	408
11	2981	408
12	4530	408
done	5000	408

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.7b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `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` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

11.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
39.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
51.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
39.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series829.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
498.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
76.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
191.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	175	28183
1	501	24936
2	1756	24416
done	5001	24136

prune484.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
17.5b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite171.0ms

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:

6.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
27.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
83.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
53.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series365.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
96.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
143.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
77.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.0s

Counts

108 → 108

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	192	40629
1	517	36976
2	1823	36574
done	5004	36014

prune726.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.3b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.7b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `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` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

12.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
30.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
51.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
43.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series393.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
99.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
74.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
175.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	175	28183
1	501	24936
2	1756	24416
done	5001	24136

prune543.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.07512208616047561 (/ 0.40462203869992125 z))
0.0b	(+ (* 0.0692910599291889 y) (* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z))))
0.2b	(* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
12×	`times-frac`
11×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`associate-r`
5×	`pow1` `sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`frac-times` `prod-exp` `associate-*r/` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv`

Counts

3 → 73

Calls

3 calls:

14.0ms	(- 0.07512208616047561 (/ 0.40462203869992125 z))
7.0ms	(+ (* 0.0692910599291889 y) (* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z))))
54.0ms	(* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- 0.07512208616047561 (/ 0.40462203869992125 z))
76.0ms	(+ (* 0.0692910599291889 y) (* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z))))
121.0ms	(* (/ y z) (- 0.07512208616047561 (/ 0.40462203869992125 z)))

simplify1.8s

Counts

82 → 82

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	138	22798
1	394	20176
2	1453	19852
done	5001	19532

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes427.0ms

Accuracy

97.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 16.0b

bsearch207.0ms

Steps

Iters	Range		Point
7	1.6682253093343437e-14	3.2012448156664847e-12	3.147343088148752e-12
9	-1.2623631676740637e+17	-27652538170.40468	-45463414175.984634

simplify16.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	33	952
1	49	952
done	49	952

end0.0ms

sample1.0s

Algorithm

intervals

Results

795.0ms

8000×

body

valid