Details

sample65.0ms

Algorithm

intervals

Results

37.0ms

256×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
4	1689
3	453
2	136
1	55
0	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize70.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
27.4b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-*r/` `associate-/r/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

54.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
42.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
24.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
146.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series471.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
38.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
73.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
316.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5005
2	2866
1	675
0	222

prune825.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.1b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

41.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
38.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
29.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
102.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series466.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
45.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
73.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
299.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify1.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	2045
1	563
0	207

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
25.3b	(* (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r` `add-exp-log`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `-commutative` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 115

Calls

4 calls:

32.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
19.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
46.0ms	(/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
201.0ms	(* (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
83.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
58.0ms	(/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
230.0ms	(* (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (/ 1 (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify2.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
2	2399
1	666
0	240

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize115.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
13.6b	(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
25.1b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
26.1b	(/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

70×	`associate-*l/`
43×	`pow1`
35×	`flip3-+` `flip-+`
32×	`frac-add`
23×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `associate-/r/`
17×	`pow-prod-down`
16×	`flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac` `associate-*r/`
9×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`associate-/r*`
4×	`pow-sqr` `pow-prod-up` `associate-/l*` `associate-/l/`
3×	`cbrt-undiv` `div-exp`
2×	`associate-+r+` `clear-num` `sum-log` `frac-2neg` `pow-plus` `div-inv`
1×	`pow2` `+-commutative` `associate-+r-` `sub-neg` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 145

Calls

4 calls:

65.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
67.0ms	(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
946.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
270.0ms	(/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

series1.1s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x))
52.0ms	(+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))
823.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721)))) 313.399215894) x) 47.066876606))
194.0ms	(/ (* x (+ (* 263.505074721 (* 263.505074721 263.505074721)) (* (* x (+ 43.3400022514 x)) (* (* x (+ 43.3400022514 x)) (* x (+ 43.3400022514 x)))))) (+ (* (* (+ x 43.3400022514) x) (* (+ x 43.3400022514) x)) (- (* 263.505074721 263.505074721) (* (* (+ x 43.3400022514) x) 263.505074721))))

simplify3.0s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
1	1202
0	345

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes506.0ms

Accuracy

96.3% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 25.0b

bsearch376.0ms

Steps

Iters	Range		Point
9	2.675449539496148e+31	2.5431457216642727e+36	1.746149424175314e+36
6	-1.0829354436108563e+18	-8.732989020757522e+16	-5.5723171865090035e+17

simplify46.0ms

Iterations

Iter	Nodes
done	82
1	82
0	60

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

8011×

body

valid