Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite176.0ms

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`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

74.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
22.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
36.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
18.0ms	(* 1.1283791670955126 (exp z))
76.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
115.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify4.4s

Counts

83 → 83

Iterations

Useful iterations: 4 (2.7s)

Iter	Nodes	Cost
0	141	1154
1	330	1094
2	833	1022
3	1943	1016
4	4916	1003
done	5001	1003

prune360.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
28×	`add-cube-cbrt` `times-frac`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp` `div-inv`
3×	`cbrt-undiv` `associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `rec-exp` `flip3--` `pow-flip` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `inv-pow`

Counts

4 → 105

Calls

4 calls:

86.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
7.0ms	(/ (exp z) y)
28.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
25.0ms	(* 1.1283791670955126 (/ (exp z) y))

series231.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
24.0ms	(/ (exp z) y)
111.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
24.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify2.2s

Counts

117 → 117

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	188	1436
1	426	1316
2	1013	1230
3	2556	1221
done	5000	1219

prune462.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (exp z) y)) (cbrt (/ (exp z) y)))
0.3b	(cbrt (/ (exp z) y))
0.3b	(cbrt (/ (exp z) y))
0.3b	(cbrt (/ (exp z) y))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

57.0ms	(* (cbrt (/ (exp z) y)) (cbrt (/ (exp z) y)))
6.0ms	(cbrt (/ (exp z) y))
7.0ms	(cbrt (/ (exp z) y))
7.0ms	(cbrt (/ (exp z) y))

series488.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (cbrt (/ (exp z) y)) (cbrt (/ (exp z) y)))
123.0ms	(cbrt (/ (exp z) y))
107.0ms	(cbrt (/ (exp z) y))
128.0ms	(cbrt (/ (exp z) y))

simplify4.1s

Counts

156 → 156

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	176	2241
1	326	2106
2	842	2001
3	1758	1891
4	4827	1787
done	5001	1784

prune893.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.2b	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
2.5b	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
27×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num`

Counts

4 → 121

Calls

4 calls:

12.0ms	(* 1.1283791670955126 (exp z))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
23.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
89.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

series284.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
66.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
106.0ms	(/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y)))
94.0ms	(* (sqrt y) (/ (sqrt y) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify3.0s

Counts

133 → 133

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	196	2279
1	474	2083
2	1449	1893
3	4381	1875
done	5001	1875

prune455.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	19	25
done	19	25

end0.0ms

sample921.0ms

Algorithm

intervals

Results

574.0ms

8000×

body

valid