Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify688.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	35	21
2	63	21
3	120	21
4	203	21
5	291	21
6	366	21
7	472	21
8	574	21
9	610	21
10	612	21
done	612	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize13.0ms

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)
3.1b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
18.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
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×	`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` `distribute-lft-out` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

16.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
12.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
19.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
16.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series421.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
67.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
55.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
114.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify593.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	189	1805
1	533	1717
2	1768	1513
done	5000	1513

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.0b	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.2b	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
18.3b	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (+ z 6.012459259764103) z)
36.0ms	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
12.0ms	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
33.0ms	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series304.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ z 6.012459259764103) z)
138.0ms	(+ x (/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
46.0ms	(* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968))
61.0ms	(/ (+ (* (* z y) (+ (* z 0.0692910599291889) 0.4917317610505968)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify932.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (441.0ms)

Iter	Nodes	Cost
0	203	2090
1	564	1990
2	2021	1820
done	5000	1820

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
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)))
15.4b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

18.0ms	(* (+ z 6.012459259764103) z)
19.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
50.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
21.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series304.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ z 6.012459259764103) z)
65.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(* 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))

simplify656.0ms

Counts

118 → 118

Iterations

Useful iterations: done (651.0ms)

Iter	Nodes	Cost
0	209	2226
1	544	2178
2	1705	1940
done	5000	1926

prune298.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
15.4b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

39.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
12.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
19.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
20.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series428.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
64.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
114.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
62.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify867.0ms

Counts

153 → 153

Iterations

Useful iterations: done (859.0ms)

Iter	Nodes	Cost
0	302	4412
1	740	4252
2	2423	4024
done	5000	4020

prune452.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.9b

bsearch154.0ms

Steps

Iters	Range		Point
9	0.0005333266348582408	74219.82001652327	72489.24391222252
10	-2.739665785741119e+39	-1.2562549030609593e+26	-1.2730222216892933e+26

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	53
1	48	43
done	48	43

end0.0ms

sample494.0ms

Algorithm

intervals

Results

333.0ms

8000×

body

valid