Details

sample111.0ms

Algorithm

intervals

Results

76.0ms

640×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1716
3	492
2	161
1	53
0	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

83.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
30.0ms	(* (* a a) (+ 1.0 a))
15.0ms	(pow (+ (* a a) (* b b)) 2.0)
44.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
80.0ms	(* (* a a) (+ 1.0 a))
135.0ms	(pow (+ (* a a) (* b b)) 2.0)
92.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.6s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	3892
1	552
0	175

prune605.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

42.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
12.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
14.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
11.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

series708.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
207.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
182.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
225.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

simplify1.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1426
1	272
0	109

prune731.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

4.5b	(exp (log (cbrt (pow (+ (pow b 2) (* a a)) 2.0))))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down`
10×	`log-prod` `exp-sum`
5×	`pow1` `exp-prod`
4×	`add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp` `sqr-pow`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 68

Calls

4 calls:

31.0ms	(exp (log (cbrt (pow (+ (pow b 2) (* a a)) 2.0))))
22.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
27.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
23.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

series852.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(exp (log (cbrt (pow (+ (pow b 2) (* a a)) 2.0))))
209.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
196.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
221.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	2922
3	750
2	290
1	154
0	96

prune994.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize164.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
8.6b	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
18.4b	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

rewrite66.0ms

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:

7.0ms	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
8.0ms	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
22.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
28.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

series882.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
242.0ms	(cbrt (pow (+ (* b b) (* a a)) (/ 2.0 2)))
212.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))
211.0ms	(cbrt (pow (+ (pow b 2) (* a a)) 2.0))

simplify893.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	1535
2	427
1	178
0	94

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes379.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.5s

20149×

body

valid