Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify14.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

33.0ms

(/ (+ x y) (- x y))

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

(/ (+ x y) (- x y))

simplify607.0ms

Counts: 48 → 48

prune122.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(pow (/ (+ x y) (- x y)) 3)
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

33.0ms	(/ (+ x y) (- x y))
32.0ms	(pow (/ (+ x y) (- x y)) 3)
36.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))

series313.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (+ x y) (- x y))
79.0ms	(pow (/ (+ x y) (- x y)) 3)
140.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))

simplify728.0ms

Counts: 194 → 194

prune356.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (/ (+ x y) (- x y)) 3)))
0.0b	(/ (+ x y) (- x y))
0.0b	(pow (/ (+ x y) (- x y)) 3)
0.0b	(cbrt (log (exp (pow (/ (+ x y) (- x y)) 3))))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

210×	`*-un-lft-identity`
140×	`times-frac`
138×	`add-sqr-sqrt`
118×	`log-pow`
116×	`exp-prod`
80×	`add-cube-cbrt`
78×	`unpow-prod-down` `cube-prod`
62×	`cbrt-prod`
36×	`distribute-lft-out`
29×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `flip3--` `flip--` `div-inv`
5×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
3×	`cube-mult` `pow-unpow` `log-prod` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `rem-log-exp` `clear-num` `flip-+`

Counts

4 → 257

Calls

4 calls:

124.0ms	(log (exp (pow (/ (+ x y) (- x y)) 3)))
36.0ms	(/ (+ x y) (- x y))
35.0ms	(pow (/ (+ x y) (- x y)) 3)
82.0ms	(cbrt (log (exp (pow (/ (+ x y) (- x y)) 3))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(log (exp (pow (/ (+ x y) (- x y)) 3)))
89.0ms	(/ (+ x y) (- x y))
105.0ms	(pow (/ (+ x y) (- x y)) 3)
127.0ms	(cbrt (log (exp (pow (/ (+ x y) (- x y)) 3))))

simplify952.0ms

Counts: 269 → 269

prune488.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
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 → 95

Calls

4 calls:

42.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))

series694.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
172.0ms	(cbrt (+ x y))
147.0ms	(cbrt (+ x y))
139.0ms	(cbrt (+ x y))

simplify1.5s

Counts: 107 → 107

prune293.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

73.4% (0.0b remaining)

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

bsearch0.0ms

simplify677.0ms

end0.0ms

sample613.0ms

Algorithm

intervals

Results

286.0ms

8000×

body

valid