Details

sample80.0ms

Algorithm

intervals

Results

51.0ms

644×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1428
3	452
2	154
1	51
0	18

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ a 3.0) (* b b)) (* (* (- 1.0 a) a) a))
0.1b	(* (* (- 1.0 a) a) a)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (+ a 3.0) (* b b))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*l/`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-l`
4×	`flip3-+` `associate-r` `frac-add` `flip-+`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `flip--`
2×	`*-commutative`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `pow-exp` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

38.0ms	(+ (* (+ a 3.0) (* b b)) (* (* (- 1.0 a) a) a))
34.0ms	(* (* (- 1.0 a) a) a)
16.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (+ a 3.0) (* b b))

series403.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (* (+ a 3.0) (* b b)) (* (* (- 1.0 a) a) a))
105.0ms	(* (* (- 1.0 a) a) a)
169.0ms	(pow (+ (* a a) (* b b)) 2.0)
64.0ms	(* (+ a 3.0) (* b b))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	3138
1	558
0	173

prune593.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (+ a 3.0) (* b b))
22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

53.0ms	(* (+ a 3.0) (* b b))
22.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
23.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
23.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

series746.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ a 3.0) (* b b))
212.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
247.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
234.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

simplify774.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	930
1	239
0	98

prune735.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize118.0ms

Local error

Found 4 expressions with local error:

10.3b	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
10.3b	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

12.0ms	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
24.0ms	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
23.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
24.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
231.0ms	(cbrt (pow (+ (pow b 2) (* a a)) (/ 2.0 2)))
254.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
581.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

simplify943.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1122
2	355
1	160
0	87

prune891.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize108.0ms

Local error

Found 4 expressions with local error:

22.0b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
22.0b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

15.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
8.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
15.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
15.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series838.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
194.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
198.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
221.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
4	2419
3	668
2	276
1	145
0	81

prune886.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.5s

20523×

body

valid