Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	367
1	31	367
2	52	367
3	74	367
4	98	367
5	106	367
6	117	367
7	155	367
8	210	367
9	258	367
10	320	367
11	488	367
12	769	367
13	3931	367
done	5000	367

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite260.0ms

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:

9.0ms	(+ 2.30753 (* x 0.27061))
181.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
24.0ms	(* x (+ 0.99229 (* x 0.04481)))
42.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 2.30753 (* x 0.27061))
147.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
96.0ms	(* x (+ 0.99229 (* x 0.04481)))
95.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	202	36448
1	557	32837
2	2407	32273
done	5002	32193

prune494.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.27061 x) 2.30753)
0.0b	(* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.9b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite227.0ms

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:

6.0ms	(+ (* 0.27061 x) 2.30753)
167.0ms	(* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
23.0ms	(* x (+ 0.99229 (* x 0.04481)))
28.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series460.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (* 0.27061 x) 2.30753)
160.0ms	(* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
131.0ms	(* x (+ 0.99229 (* x 0.04481)))
107.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	200	36448
1	554	32837
2	2399	32273
done	5001	32193

prune405.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.1b	(* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
13.9b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

12.0ms	(* x (+ 0.99229 (* x 0.04481)))
145.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
182.0ms	(* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
27.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series592.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* x (+ 0.99229 (* x 0.04481)))
215.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
182.0ms	(* (sqrt 0.70711) (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
84.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.5s

Counts

127 → 127

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	235	55833
1	671	50729
2	3338	47647
done	5000	47567

prune722.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(pow (* x 0.27061) 3)
23.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
14×	`pow1` `*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`flip3-+` `associate-/r/` `flip-+`
6×	`associate-r` `prod-exp` `associate-*r/` `cbrt-unprod`
5×	`times-frac` `pow-prod-down` `associate-/l*`
4×	`frac-times` `associate-l` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in`
2×	`cbrt-undiv` `sub-neg` `pow-pow` `div-exp` `associate-l/` `pow-exp` `sum-cubes` `-commutative` `distribute-lft-out` `rem-cube-cbrt` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `clear-num` `associate-/r*` `unpow-prod-down` `frac-2neg` `flip3--` `unpow3` `cube-prod` `div-inv` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

13.0ms	(* x (+ 0.99229 (* x 0.04481)))
28.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
7.0ms	(pow (* x 0.27061) 3)
106.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* x (+ 0.99229 (* x 0.04481)))
129.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
61.0ms	(pow (* x 0.27061) 3)
146.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753))))

simplify3.2s

Counts

115 → 115

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	225	55902
1	727	38495
2	4578	37773
done	5000	37773

prune534.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	367
1	23	367
done	23	367

end0.0ms

sample810.0ms

Algorithm

intervals

Results

673.0ms

8000×

body

valid