Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify951.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.1b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

12.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
41.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
79.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
75.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series431.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
106.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
83.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
186.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify963.0ms

Counts: 90 → 90

prune310.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
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)))
15.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

14.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
28.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
99.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
61.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series392.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
75.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
177.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
93.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.1s

Counts: 108 → 108

prune518.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
15.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
15.6b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

24.0ms	(cbrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
80.0ms	(/ (+ (* (+ (* 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))
118.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series585.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
96.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
94.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
118.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify712.0ms

Counts: 129 → 129

prune757.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.40462203869992125 (/ 1 (pow z 2)))
0.3b	(* 0.07512208616047561 (/ 1 z))
0.4b	(/ 1 (pow z 2))
3.3b	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
67×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`add-exp-log` `associate-r`
23×	`unpow-prod-down`
18×	`add-cbrt-cube`
15×	`prod-exp`
14×	`div-exp`
13×	`unswap-sqr`
10×	`pow1` `associate-*r/`
9×	`associate-l` `unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
5×	`cbrt-unprod`
4×	`un-div-inv` `frac-sub` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l`
2×	`sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `inv-pow`

Counts

4 → 186

Calls

4 calls:

48.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
30.0ms	(* 0.07512208616047561 (/ 1 z))
17.0ms	(/ 1 (pow z 2))
207.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

series166.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
19.0ms	(* 0.07512208616047561 (/ 1 z))
28.0ms	(/ 1 (pow z 2))
73.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

simplify1.5s

Counts: 198 → 198

prune567.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.7b

bsearch482.0ms

Steps

Iters	Range		Point
9	66372612481031.81	2.579993006643653e+23	67465969353685.64
9	-1.4254737617616131e+26	-1.0928381200500983e+20	-1.0716286349550099e+26

simplify847.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

808.0ms

8000×

body

valid