Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	92×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
17.7b	(sqrt (+ (* x x) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* x x) y)
8.0ms	(sqrt (+ (* x x) y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) y)
76.0ms	(sqrt (+ (* x x) y))

simplify863.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	697
1	154
0	59

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) y)
0.1b	(* (sqrt (+ (* x x) y)) (+ (* x x) y))
17.7b	(sqrt (+ (* x x) y))
31.3b	(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (* x x) y)
55.0ms	(* (sqrt (+ (* x x) y)) (+ (* x x) y))
11.0ms	(sqrt (+ (* x x) y))
19.0ms	(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x x) y)
90.0ms	(* (sqrt (+ (* x x) y)) (+ (* x x) y))
61.0ms	(sqrt (+ (* x x) y))
74.0ms	(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	2141
1	377
0	133

prune583.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ -1/2 (/ x y)) x)
1.0b	(/ -1/2 (/ x y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

38.0ms	(- (/ -1/2 (/ x y)) x)
8.0ms	(/ -1/2 (/ x y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- (/ -1/2 (/ x y)) x)
25.0ms	(/ -1/2 (/ x y))

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1728
1	447
0	180

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))
0.0b	(* 1/2 (/ y x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

8.0ms	(+ x (* 1/2 (/ y x)))
20.0ms	(* 1/2 (/ y x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* 1/2 (/ y x)))
33.0ms	(* 1/2 (/ y x))

simplify2.0s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3513
2	805
1	238
0	87

prune154.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes350.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.5b

bsearch110.0ms

Steps

Iters	Range		Point
11	1.8832230334659124e+24	1.4313346338374724e+48	1.4171690306065683e+48
9	-1.951179920997044e+156	-6.518035068066237e+150	-1.3378267015828925e+154

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample803.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
75.0ms	2523×	body	80	nan