Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

282×

body

valid

simplify9.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.4b	(* (/ (- x y) (- z y)) t)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

30.0ms	(/ (- x y) (- z y))
49.0ms	(* (/ (- x y) (- z y)) t)

series161.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- x y) (- z y))
105.0ms	(* (/ (- x y) (- z y)) t)

simplify78.0ms

Counts: 108 → 108

prune264.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x y)) (cbrt (- x y)))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))
0.6b	(cbrt (- z y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

56.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))

series764.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (- x y)) (cbrt (- x y)))
167.0ms	(cbrt (- z y))
204.0ms	(cbrt (- z y))
197.0ms	(cbrt (- z y))

simplify68.0ms

Counts: 113 → 113

prune502.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- z y)) (/ y (- z y)))
0.0b	(/ x (- z y))
0.0b	(/ y (- z y))
2.4b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite513.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-l`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

94.0ms	(- (/ x (- z y)) (/ y (- z y)))
11.0ms	(/ x (- z y))
11.0ms	(/ y (- z y))
386.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series412.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (/ x (- z y)) (/ y (- z y)))
41.0ms	(/ x (- z y))
76.0ms	(/ y (- z y))
176.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify89.0ms

Counts: 152 → 152

prune407.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z y))
0.0b	(/ y (- z y))
0.2b	(* x (/ 1 (- z y)))
2.4b	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
47×	`times-frac`
36×	`add-cube-cbrt`
24×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
9×	`pow1`
7×	`associate-l`
6×	`associate-l/` `associate-/r/` `associate-/l`
5×	`div-exp` `prod-exp`
4×	`flip3--` `flip--` `div-inv` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `un-div-inv` `cbrt-unprod`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `sub-div`
1×	`distribute-rgt-out--` `pow-flip` `inv-pow`

Counts

4 → 147

Calls

4 calls:

13.0ms	(/ 1 (- z y))
13.0ms	(/ y (- z y))
36.0ms	(* x (/ 1 (- z y)))
157.0ms	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

series263.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (- z y))
46.0ms	(/ y (- z y))
35.0ms	(* x (/ 1 (- z y)))
142.0ms	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

simplify34.0ms

Counts: 159 → 159

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

-109.6% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify105.0ms

end0.0ms

sample878.0ms

Algorithm

intervals

Results

360.0ms

8746×

body

valid