Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

30.0ms

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

series98.0ms

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify2.5s

Counts

48 → 48

Iterations

Useful iterations: 3 (228.0ms)

Iter	Nodes	Cost
0	76	590
1	170	567
2	438	539
3	1031	532
4	2681	532
done	5002	532

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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:

38.0ms	(/ (+ x y) (- x y))
23.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
33.0ms	(pow (/ (+ x y) (- x y)) 3)

series320.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(/ (+ x y) (- x y))
131.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
88.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify999.0ms

Counts

194 → 194

Iterations

Useful iterations: done (991.0ms)

Iter	Nodes	Cost
0	175	3344
1	479	2775
2	1518	2557
done	5001	2493

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))
0.2b	(/ (sqrt (+ x y)) (- x y))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
88×	`add-sqr-sqrt`
74×	`times-frac`
53×	`sqrt-prod`
42×	`add-cube-cbrt`
41×	`associate-r`
15×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l` `associate-/l*`
6×	`sqrt-div` `unswap-sqr`
5×	`associate-/r*`
4×	`pow1` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 135

Calls

2 calls:

69.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))
23.0ms	(/ (sqrt (+ x y)) (- x y))

series215.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))
99.0ms	(/ (sqrt (+ x y)) (- x y))

simplify3.1s

Counts

141 → 141

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	170	2283
1	370	1953
2	1129	1817
3	3588	1771
done	5000	1771

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* y (- y x)) (* x x)) (- x y))
0.4b	(+ (* y (- y x)) (* x x))
5.0b	(+ (pow x 3) (pow y 3))
38.9b	(/ (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (- x y)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

86.0ms	(* (+ (* y (- y x)) (* x x)) (- x y))
15.0ms	(+ (* y (- y x)) (* x x))
31.0ms	(+ (pow x 3) (pow y 3))
128.0ms	(/ (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (- x y)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ (* y (- y x)) (* x x)) (- x y))
34.0ms	(+ (* y (- y x)) (* x x))
61.0ms	(+ (pow x 3) (pow y 3))
161.0ms	(/ (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (- x y)))

simplify1.3s

Counts

119 → 119

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	163	2429
1	458	2333
2	2072	2099
done	5000	2098

prune457.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample571.0ms

Algorithm

intervals

Results

261.0ms

8000×

body

valid