Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
2	22
1	15
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

33.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
9.0ms	(* 1.1283791670955126 (exp z))
10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
21.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
79.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
91.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1245
1	347
0	145

prune404.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
0.5b	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
7.1b	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
28×	`sqrt-pow1`
22×	`add-sqr-sqrt`
21×	`pow-prod-down`
18×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `pow1/2` `pow-prod-up`
9×	`times-frac` `add-exp-log`
7×	`associate-r` `associate-l`
6×	`pow-sqr` `add-log-exp`
4×	`swap-sqr` `sqrt-prod` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `div-exp` `div-inv`

Counts

4 → 112

Calls

4 calls:

13.0ms	(* 1.1283791670955126 (exp z))
66.0ms	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
54.0ms	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
111.0ms	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
188.0ms	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
72.0ms	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
316.0ms	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

simplify1.5s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2213
1	418
0	166

prune522.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(log (exp (* 1.1283791670955126 (exp z))))
0.4b	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
7.1b	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1` `add-exp-log`
6×	`log-prod` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `associate-r` `associate-l` `associate--l+` `log-pow` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `exp-prod` `clear-num` `sub-neg` `frac-2neg` `exp-to-pow` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

8.0ms	(* 1.1283791670955126 (exp z))
7.0ms	(log (exp (* 1.1283791670955126 (exp z))))
8.0ms	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
9.0ms	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 1.1283791670955126 (exp z))
18.0ms	(log (exp (* 1.1283791670955126 (exp z))))
58.0ms	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
78.0ms	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4762
2	1011
1	310
0	143

prune434.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.5b	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y))
4.9b	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y))
19.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y)))

series886.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt y)
207.0ms	(cbrt y)
283.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y))
111.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* 1.1283791670955126 (exp z)) (* y x)) (cbrt y)))

simplify991.0ms

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
1	640
0	221

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

59.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.9b

bsearch69.0ms

Steps

Iters	Range		Point
14	0.0	0.7557181553585829	6.9432478850086e-310

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

795.0ms

8000×

body

valid