Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify5.2s

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: 19.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
2.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.2b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

20.0ms	(* (+ z 6.012459259764103) z)
20.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
51.0ms	(* 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))

series422.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (+ z 6.012459259764103) z)
124.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
65.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
159.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1936
1	551
0	192

prune744.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

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

rewrite208.0ms

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

Counts

4 → 106

Calls

4 calls:

16.0ms	(* (+ z 6.012459259764103) z)
34.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
93.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
62.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series391.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ z 6.012459259764103) z)
87.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
164.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
91.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.8s

Counts

118 → 118

Iterations

Iter	Nodes
done	5006
2	2015
1	568
0	209

prune681.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

12.3b	(* (* y (/ 1 (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
15.7b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.7b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.7b	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite616.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
36×	`prod-exp`
28×	`add-cbrt-cube`
24×	`associate-r`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-prod` `times-frac`
16×	`div-exp` `cbrt-unprod`
9×	`pow1`
8×	`cbrt-undiv` `cbrt-div`
4×	`rec-exp` `flip3-+` `1-exp` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
2×	`frac-times` `associate-*l/` `associate-/r/` `un-div-inv`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 103

Calls

4 calls:

590.0ms	(* (* y (/ 1 (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
7.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
7.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
7.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series604.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* y (/ 1 (* (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
156.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
141.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
149.0ms	(cbrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5002
2	2766
1	710
0	235

prune916.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))
0.0b	(+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z))))
0.5b	(/ 0.40462203869992125 (* z z))
3.6b	(* y (+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

9.0ms	(- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))
36.0ms	(+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z))))
6.0ms	(/ 0.40462203869992125 (* z z))
169.0ms	(* y (+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))))

series219.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))
30.0ms	(+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z))))
29.0ms	(/ 0.40462203869992125 (* z z))
83.0ms	(* y (+ (/ 0.07512208616047561 z) (- 0.0692910599291889 (/ 0.40462203869992125 (* z z)))))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5013
2	1678
1	436
0	146

prune439.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes432.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.2b

bsearch224.0ms

Steps

Iters	Range		Point
8	8445.545519380286	66380113.15882991	424553.8710981669
10	-2.980140140225388e+37	-2.4055631226379928e+27	-2.4257872769742396e+27

simplify35.0ms

Iterations

Iter	Nodes
done	48
1	48
0	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8000×

body

valid