Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	3931
12	769
11	488
10	320
9	258
8	210
7	155
6	117
5	106
4	98
3	74
2	52
1	31
0	16

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

172.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
4.0ms	(+ 2.30753 (* x 0.27061))
23.0ms	(* x (+ 0.99229 (* x 0.04481)))
21.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
41.0ms	(+ 2.30753 (* x 0.27061))
91.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.8s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2409
1	557
0	202

prune665.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
19.4b	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div`
6×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 110

Calls

4 calls:

42.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
43.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
44.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
96.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
88.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
77.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
84.0ms	(cbrt (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))

simplify1.4s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1547
1	332
0	122

prune828.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize179.0ms

Local error

Found 4 expressions with local error:

14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
14.8b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
19.8b	(/ (* 0.70711 (- (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* (* x x) x))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/r/`
12×	`associate-/r*`
10×	`flip3-+` `flip-+` `associate-/l*`
8×	`associate-/l/`
6×	`frac-add`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `associate-*r/` `div-inv` `add-log-exp`
2×	`frac-times` `associate-*l/`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

4 → 124

Calls

4 calls:

32.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
41.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
42.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
256.0ms	(/ (* 0.70711 (- (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* (* x x) x))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

series795.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
95.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
82.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
520.0ms	(/ (* 0.70711 (- (* (* (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* (* x x) x))) (+ (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (+ (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))

simplify3.9s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	4416
1	709
0	221

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample878.0ms

Algorithm

intervals

Results

683.0ms

8000×

body

valid