Details

sample118.0ms

Algorithm

intervals

Results

59.0ms

256×

body

valid

simplify11.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4071
13	1873
12	718
11	434
10	297
9	245
8	197
7	149
6	112
5	101
4	91
3	70
2	52
1	31
0	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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)))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

380.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
12.0ms	(+ 2.30753 (* x 0.27061))
34.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

769.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
223.0ms	(+ 2.30753 (* x 0.27061))
536.0ms	(* x (+ 0.99229 (* x 0.04481)))
161.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.9s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1855
1	545
0	202

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 0.70711)
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite893.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

673.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 0.70711)
20.0ms	(+ 2.30753 (* x 0.27061))
58.0ms	(* x (+ 0.99229 (* x 0.04481)))
75.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 0.70711)
72.0ms	(+ 2.30753 (* x 0.27061))
165.0ms	(* x (+ 0.99229 (* x 0.04481)))
458.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1764
1	524
0	197

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize155.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
0.2b	(* (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)) (sqrt 0.70711))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

56.0ms	(* x (+ 0.99229 (* x 0.04481)))
696.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
630.0ms	(* (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)) (sqrt 0.70711))
66.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

190.0ms	(* x (+ 0.99229 (* x 0.04481)))
365.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
247.0ms	(* (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)) (sqrt 0.70711))
329.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify4.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2134
1	622
0	227

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end9.0ms

sample3.5s

Algorithm

intervals

Results

3.3s

8000×

body

valid