Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	63
4	63
3	56
2	43
1	28
0	14

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
0.0b	(+ (* 0.27061 x) 2.30753)
0.1b	(* x (+ (* x 0.04481) 0.99229))
12.3b	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

237.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
12.0ms	(+ (* 0.27061 x) 2.30753)
40.0ms	(* x (+ (* x 0.04481) 0.99229))
58.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

series351.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
50.0ms	(+ (* 0.27061 x) 2.30753)
98.0ms	(* x (+ (* x 0.04481) 0.99229))
69.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2045
1	469
0	170

prune493.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))
0.1b	(/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
12.2b	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
12.2b	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
30×	`add-exp-log`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `pow-flip` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 164

Calls

4 calls:

76.0ms	(* (/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))
10.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
4.0ms	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
5.0ms	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

series486.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))))
164.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))
139.0ms	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
92.0ms	(sqrt (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))

simplify493.0ms

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
1	776
0	259

prune862.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0))
0.0b	(- (/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0)) x)
0.0b	(+ (* 0.27061 x) 2.30753)
4.1b	(log (pow (exp x) (+ (* 0.04481 x) 0.99229)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
8×	`log-prod` `add-log-exp`
7×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `associate-/r*` `distribute-lft-out`
3×	`unpow-prod-down` `flip3-+` `rem-log-exp` `flip-+` `associate-/l*`
2×	`associate-/r/` `difference-of-squares` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `unpow-prod-up` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `pow-exp` `log-pow` `div-inv` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

45.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0))
137.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0)) x)
11.0ms	(+ (* 0.27061 x) 2.30753)
5.0ms	(log (pow (exp x) (+ (* 0.04481 x) 0.99229)))

series966.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0))
485.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (log (pow (exp x) (+ (* 0.04481 x) 0.99229))) 1.0)) x)
48.0ms	(+ (* 0.27061 x) 2.30753)
129.0ms	(log (pow (exp x) (+ (* 0.04481 x) 0.99229)))

simplify793.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1549
1	419
0	173

prune511.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	27
1	27
0	18

end0.0ms

sample876.0ms

Algorithm

intervals

Results

646.0ms

8000×

body

valid