Details

sample46.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	288×	body	80	nan

simplify64.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
6	119
5	111
4	85
3	62
2	39
1	21
0	11

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* (sqrt x) 4.0))
0.0b	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
0.1b	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

23.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
80.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
67.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (+ x 1.0) (* (sqrt x) 4.0))
99.0ms	(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0))))
125.0ms	(/ (- x 1.0) (+ (+ x 1.0) (* (sqrt x) 4.0)))

simplify989.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2079
1	461
0	161

prune550.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt x) 4.0) (+ 1.0 x))
0.0b	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
0.0b	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
0.1b	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`sum-log` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 257

Calls

4 calls:

30.0ms	(+ (* (sqrt x) 4.0) (+ 1.0 x))
73.0ms	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
145.0ms	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
76.0ms	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* (sqrt x) 4.0) (+ 1.0 x))
102.0ms	(/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))
128.0ms	(* 6.0 (/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0))))
132.0ms	(/ 1 (/ (+ (* (sqrt x) 4.0) (+ 1.0 x)) (- x 1.0)))

simplify607.0ms

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
1	1001
0	339

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)))
0.1b	(cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3))
0.1b	(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
0.1b	(pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
107×	`times-frac`
102×	`cbrt-prod`
73×	`add-cube-cbrt`
65×	`unpow-prod-down` `cube-prod`
51×	`associate-r`
22×	`distribute-lft-out--` `difference-of-squares`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `flip3-+` `flip-+` `div-inv` `unswap-sqr`
5×	`associate-/l*`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `associate-/r` `unpow3` `associate-l*`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt` `associate-/l/`
1×	`pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `flip3--` `pow1/3` `div-sub` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip--`

Counts

4 → 233

Calls

4 calls:

175.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)))
41.0ms	(cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3))
57.0ms	(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
57.0ms	(pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)

series498.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* 6.0 (cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)))
134.0ms	(cbrt (pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3))
110.0ms	(/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x)))
120.0ms	(pow (/ (- x 1.0) (+ (* (sqrt x) 4.0) (+ 1.0 x))) 3)

simplify510.0ms

Counts

245 → 245

Iterations

Iter	Nodes
done	5000
1	902
0	267

prune901.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))))
0.0b	(cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
0.1b	(/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))
0.1b	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

594×	`times-frac`
434×	`add-sqr-sqrt`
402×	`*-un-lft-identity`
396×	`cbrt-prod`
287×	`add-cube-cbrt`
193×	`unpow-prod-down` `cube-prod`
158×	`associate-r`
54×	`distribute-lft-out--` `difference-of-squares`
51×	`associate-/r*`
38×	`associate-/r/`
20×	`add-exp-log` `div-inv`
18×	`flip3--` `flip--`
15×	`unswap-sqr`
12×	`add-cbrt-cube`
11×	`sqr-pow`
9×	`cube-mult` `unpow3`
8×	`pow1`
5×	`div-exp`
4×	`cube-div` `prod-exp` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `cbrt-div` `associate-l` `associate-/l*`
2×	`rec-exp` `pow1/3` `1-exp` `pow-exp` `cbrt-unprod` `pow-flip` `rem-cube-cbrt`
1×	`pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `rem-cbrt-cube` `inv-pow`

Counts

4 → 538

Calls

4 calls:

286.0ms	(* 6.0 (/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))))
50.0ms	(cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
98.0ms	(/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))
46.0ms	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)

series597.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* 6.0 (/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))))
142.0ms	(cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3))
132.0ms	(/ 1 (cbrt (pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)))
153.0ms	(pow (/ (+ (* (sqrt x) 4.0) (+ x 1.0)) (- x 1.0)) 3)

simplify794.0ms

Counts

550 → 550

Iterations

Iter	Nodes
done	5000
1	1377
0	478

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

819.0ms	7906×	body	80	nan
631.0ms	8000×	body	80	valid