Details

sample117.0ms

Algorithm

intervals

Results

95.0ms

621×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3602
5	1449
4	529
3	151
2	53
1	28
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
0.0b	(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
0.0b	(* -4 (* b b))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`associate-l`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`distribute-rgt-in` `associate-+l+` `sum-log` `distribute-lft-in` `diff-log` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `+-commutative` `difference-of-sqr--1` `sub-neg` `pow-plus` `flip3--` `associate--l+` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 86

Calls

4 calls:

108.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
34.0ms	(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
27.0ms	(* -4 (* b b))
56.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1) (* -4 (* b b)))
63.0ms	(+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) -1)
49.0ms	(* -4 (* b b))
58.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))

simplify1.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5006
2	1787
1	506
0	149

prune448.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
0.2b	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
9.1b	(sqrt (+ (* b b) (* a a)))
9.1b	(sqrt (+ (* b b) (* a a)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

102.0ms	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
69.0ms	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
12.0ms	(sqrt (+ (* b b) (* a a)))
12.0ms	(sqrt (+ (* b b) (* a a)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (sqrt (+ (* b b) (* a a))) (* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a))))
99.0ms	(* (sqrt (+ (* b b) (* a a))) (+ (* b b) (* a a)))
65.0ms	(sqrt (+ (* b b) (* a a)))
41.0ms	(sqrt (+ (* b b) (* a a)))

simplify2.3s

Counts

143 → 143

Iterations

Iter	Nodes
done	5002
2	2094
1	544
0	166

prune804.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
0.0b	(pow (sqrt (+ (* b b) (* a a))) 4)
0.0b	(* -4 (* b b))
9.1b	(sqrt (+ (* b b) (* a a)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`pow1`
11×	`*-un-lft-identity`
10×	`add-exp-log`
9×	`add-cbrt-cube` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`sqrt-prod`
6×	`add-log-exp`
4×	`difference-of-sqr--1` `insert-posit16`
3×	`pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `rem-sqrt-square` `sum-log` `associate-r` `pow-exp` `*-commutative` `sqrt-pow2` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

64.0ms	(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
16.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
14.0ms	(* -4 (* b b))
6.0ms	(sqrt (+ (* b b) (* a a)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (pow (sqrt (+ (* b b) (* a a))) 4) -1)
86.0ms	(pow (sqrt (+ (* b b) (* a a))) 4)
41.0ms	(* -4 (* b b))
59.0ms	(sqrt (+ (* b b) (* a a)))

simplify2.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	3495
2	1017
1	366
0	135

prune371.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* -4 (* b b))
0.0b	(exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
0.7b	(log (exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
15×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`exp-prod` `flip3-+` `associate-l` `flip-+`
4×	`frac-times` `log-prod` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`exp-sum` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr` `rem-exp-log`
1×	`pow2` `distribute-rgt-in` `sum-log` `distribute-lft-in` `pow-plus` `rem-log-exp` `pow-sqr` `pow-prod-up`

Counts

4 → 87

Calls

4 calls:

13.0ms	(* -4 (* b b))
13.0ms	(exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
53.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
16.0ms	(log (exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))

series226.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* -4 (* b b))
54.0ms	(exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a)))))
64.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
67.0ms	(log (exp (+ -1 (* (+ (* b b) (* a a)) (+ (* b b) (* a a))))))

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1479
1	420
0	138

prune439.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s

20480×

body

valid