Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

332×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
4	23
3	21
2	17
1	12
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 36

Calls

1 calls:

24.0ms

(/ (- (* x x) 3.0) 6.0)

series132.0ms

Counts

1 → 3

Calls

1 calls:

132.0ms

(/ (- (* x x) 3.0) 6.0)

simplify1.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	1557
2	454
1	184
0	80

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- (* x x) 3.0) (/ 1 6.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity` `add-exp-log`
9×	`add-cube-cbrt`
6×	`add-cbrt-cube`
4×	`associate-l` `prod-exp`
3×	`pow1` `unswap-sqr`
2×	`frac-times` `flip3--` `div-exp` `associate-*l/` `cbrt-unprod` `flip--`
1×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `difference-of-squares`

Counts

1 → 43

Calls

1 calls:

31.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

series101.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(* (- (* x x) 3.0) (/ 1 6.0))

simplify3.8s

Counts

46 → 46

Iterations

Iter	Nodes
done	5001
3	2770
2	776
1	261
0	103

prune157.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x (sqrt 3.0)) 6.0)
0.0b	(- x (sqrt 3.0))
0.0b	(+ x (sqrt 3.0))
0.7b	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
40×	`add-cube-cbrt`
37×	`times-frac`
22×	`associate-r`
18×	`prod-diff`
17×	`sqrt-prod`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-/r*` `fma-def` `flip3-+` `fma-neg` `flip-+`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 147

Calls

4 calls:

34.0ms	(/ (- x (sqrt 3.0)) 6.0)
15.0ms	(- x (sqrt 3.0))
6.0ms	(+ x (sqrt 3.0))
44.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

series372.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- x (sqrt 3.0)) 6.0)
49.0ms	(- x (sqrt 3.0))
43.0ms	(+ x (sqrt 3.0))
196.0ms	(* (+ x (sqrt 3.0)) (/ (- x (sqrt 3.0)) 6.0))

simplify1.4s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
2	1420
1	480
0	192

prune574.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
0.7b	(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
29×	`add-sqr-sqrt` `sqrt-prod`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
15×	`sqrt-div`
11×	`frac-times` `associate-*l/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`difference-of-squares`

Counts

2 → 86

Calls

2 calls:

41.0ms	(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
87.0ms	(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

series312.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(* (- (* x x) 3.0) (sqrt (/ 1 6.0)))
175.0ms	(* (* (- (* x x) 3.0) (sqrt (/ 1 6.0))) (sqrt (/ 1 6.0)))

simplify2.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5004
3	2896
2	946
1	373
0	149

prune389.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample761.0ms

Algorithm

intervals

Results

494.0ms

10584×

body

valid