Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

10.0ms	(/ x (+ x 1.0))
10.0ms	(/ 1.0 (- x 1.0))
61.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1.0))
27.0ms	(/ 1.0 (- x 1.0))
123.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 3 (489.0ms)

Iter	Nodes	Cost
0	169	1135
1	378	1064
2	927	998
3	1984	996
done	5000	996

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
52×	`times-frac`
39×	`distribute-lft-out`
22×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
10×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

11.0ms	(/ x (+ x 1.0))
94.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
60.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
105.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series475.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ x (+ x 1.0))
140.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
119.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
182.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify705.0ms

Counts

132 → 132

Iterations

Useful iterations: done (700.0ms)

Iter	Nodes	Cost
0	180	2398
1	443	2038
2	1331	1864
done	5000	1861

prune222.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
0.1b	(pow (/ 1.0 (- x 1.0)) 3)
19.5b	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
75×	`times-frac`
52×	`add-cube-cbrt`
48×	`cbrt-prod`
42×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3--` `associate-/r*` `flip--` `div-inv`
3×	`cube-div` `pow-unpow` `associate-/l*`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `frac-add` `clear-num` `sum-log` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 170

Calls

4 calls:

10.0ms	(/ 1.0 (- x 1.0))
143.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
14.0ms	(pow (/ 1.0 (- x 1.0)) 3)
13.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

series230.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 1.0 (- x 1.0))
124.0ms	(+ (cbrt (pow (/ 1.0 (- x 1.0)) 3)) (/ x (+ x 1.0)))
47.0ms	(pow (/ 1.0 (- x 1.0)) 3)
32.0ms	(cbrt (pow (/ 1.0 (- x 1.0)) 3))

simplify1.0s

Counts

182 → 182

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	233	2864
1	624	2319
2	1948	2078
done	5001	2071

prune287.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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	10	14
1	12	14
done	12	14

end0.0ms

sample286.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid