Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

345×

body

valid

simplify96.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* z z) (+ z 1.0))
16.6b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

31.0ms	(* (* z z) (+ z 1.0))
35.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* (* z z) (+ z 1.0))
72.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify52.0ms

Counts: 57 → 57

prune103.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
6.7b	(* (/ x (* z z)) (/ y (+ z 1.0)))
9.5b	(/ x (* z z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

14.0ms	(/ y (+ z 1.0))
46.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms	(/ x (* z z))

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ y (+ z 1.0))
59.0ms	(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms	(/ x (* z z))

simplify58.0ms

Counts: 116 → 116

prune241.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z 1.0))
1.6b	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.6b	(* (/ x z) (/ y (+ z 1.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-exp-log`
58×	`add-cbrt-cube`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `times-frac`
40×	`prod-exp`
34×	`add-cube-cbrt`
31×	`div-exp`
26×	`associate-l`
22×	`cbrt-unprod`
19×	`associate-r`
18×	`cbrt-undiv`
10×	`pow1`
7×	`distribute-lft-out`
6×	`frac-times` `associate-*r/`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-l/` `associate-/r` `associate-/r/` `div-inv` `unswap-sqr`
3×	`associate-/l*` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`frac-2neg` `clear-num`

Counts

3 → 149

Calls

3 calls:

11.0ms	(/ y (+ z 1.0))
55.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
43.0ms	(* (/ x z) (/ y (+ z 1.0)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (+ z 1.0))
49.0ms	(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
54.0ms	(* (/ x z) (/ y (+ z 1.0)))

simplify89.0ms

Counts: 158 → 158

prune281.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (/ x z) (/ y (+ z 1.0)))
21.6b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
21.6b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
21.6b	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `times-frac`
21×	`cbrt-div`
19×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log` `frac-times` `associate-*r/` `add-cbrt-cube`
13×	`associate-l`
10×	`associate-*l/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3` `distribute-lft-out`
2×	`associate-/r/` `div-inv`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 103

Calls

4 calls:

37.0ms	(* (/ x z) (/ y (+ z 1.0)))
40.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
42.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
40.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (/ x z) (/ y (+ z 1.0)))
163.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
153.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
155.0ms	(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify64.0ms

Counts: 115 → 115

prune384.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes120.0ms

Accuracy

14% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch61.0ms

Steps

Iters	Range		Point
7	2.6258723222260714e-179	4.6144630716923495e-178	4.0118791386693774e-178
7	-6.187804624999442e-199	-2.064422007709013e-200	-4.7666982586344585e-200

simplify1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

802.0ms

10732×

body

valid