Details

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
44.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ x (+ x 1.0))
26.0ms	(/ 1.0 (- x 1.0))
115.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify505.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	175	1183
1	412	1098
2	1436	1042
done	5001	1042

prune215.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.0b	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.4b	(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/` `distribute-lft-out` `difference-of-squares`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `fma-udef`

Counts

3 → 80

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
0.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ x (+ x 1.0))
125.0ms	(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
48.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify512.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	169	1252
1	385	1200
2	1466	1086
done	5001	1086

prune188.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
15.2b	(cbrt (- (* x x) (* 1.0 1.0)))
15.2b	(cbrt (- (* x x) (* 1.0 1.0)))
15.2b	(cbrt (- (* x x) (* 1.0 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`associate-/r/` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 79

Calls

4 calls:

14.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
2.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
2.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
5.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

series844.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
179.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
185.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
178.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

simplify539.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (145.0ms)

Iter	Nodes	Cost
0	166	2048
1	459	1895
2	1898	1548
done	5001	1548

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) (+ x 1.0))
0.0b	(* (- x 1.0) x)
0.0b	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
15.3b	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `frac-times` `associate-/r/`
7×	`flip3--` `associate-r` `flip--`
6×	`flip3-+` `associate-*l/` `flip-+`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `fma-udef` `div-inv` `distribute-lft-out`

Counts

4 → 98

Calls

4 calls:

19.0ms	(* (- x 1.0) (+ x 1.0))
10.0ms	(* (- x 1.0) x)
0.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
7.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (- x 1.0) (+ x 1.0))
44.0ms	(* (- x 1.0) x)
85.0ms	(fma 1.0 (+ x 1.0) (* (- x 1.0) x))
115.0ms	(/ (fma 1.0 (+ x 1.0) (* (- x 1.0) x)) (* (- x 1.0) (+ x 1.0)))

simplify554.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	156	1605
1	402	1574
2	1796	1387
done	5000	1387

prune212.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

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	9	18
1	10	18
done	10	18

end0.0ms

sample270.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid