Details

sample51.0ms

Algorithm

intervals

Results

34.0ms

660×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	29
1	51	29
2	134	29
3	317	29
4	694	29
5	1466	29
6	3189	29
done	5000	29

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0)
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow-exp` `associate--l+` `sum-log` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

139.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0)
14.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series306.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(- (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 1.0)
56.0ms	(* (* a a) (- 1.0 a))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)
37.0ms	(* (* b b) (+ 3.0 a))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: 2 (323.0ms)

Iter	Nodes	Cost
0	183	1586
1	478	1509
2	1883	1375
done	5000	1375

prune241.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series487.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	105	1185
1	255	1154
2	893	1052
3	3854	1043
done	5001	1043

prune287.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (+ (* a a) (* b b)))
13.0b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series561.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* a a) (* b b)))
158.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify961.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (335.0ms)

Iter	Nodes	Cost
0	122	1270
1	262	1255
2	634	1143
3	1765	1131
done	5000	1131

prune413.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (+ (* a a) (* b b)))
13.0b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.5b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series557.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (+ (* a a) (* b b)))
158.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify967.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	122	1270
1	262	1255
2	634	1143
3	1765	1131
done	5000	1131

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	25	29
done	25	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

970.0ms

20612×

body

valid