Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 53

Calls

3 calls:

52.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
26.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
28.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
98.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
120.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify4.5s

Counts

62 → 62

Iterations

Useful iterations: 4 (2.7s)

Iter	Nodes	Cost
0	118	1020
1	288	974
2	770	907
3	1876	903
4	4789	890
done	5000	890

prune636.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 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))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

25.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
14.0ms	(/ (exp z) y)
27.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

series239.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
27.0ms	(/ (exp z) y)
114.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
26.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify3.0s

Counts

116 → 116

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	176	1358
1	381	1265
2	900	1169
3	2297	1158
done	5000	1156

prune376.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
0.3b	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.9b	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
24.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
56.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))))
72.0ms	(/ 1 (- (* 1.1283791670955126 (exp z)) (* x y)))
81.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
92.0ms	(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify2.7s

Counts

106 → 106

Iterations

Useful iterations: 3 (924.0ms)

Iter	Nodes	Cost
0	166	1736
1	415	1523
2	1050	1379
3	2915	1369
done	5000	1369

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
0.1b	(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.8b	(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`associate-r`
23×	`*-un-lft-identity` `times-frac`
22×	`add-cube-cbrt`
16×	`log-pow`
15×	`exp-prod`
13×	`add-exp-log`
10×	`pow1`
9×	`add-cbrt-cube` `add-log-exp`
5×	`log-prod`
4×	`exp-sum` `prod-exp`
3×	`sub-neg` `associate-l` `unswap-sqr`
2×	`exp-diff` `diff-log` `div-exp` `cbrt-unprod` `rem-exp-log`
1×	`cbrt-undiv` `log-div` `rec-exp` `flip3--` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

33.0ms	(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
129.0ms	(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
20.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
49.0ms	(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (- (* 1.1283791670955126 (exp z)) (* x y)))
91.0ms	(* y (/ 1 (log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))))
74.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
62.0ms	(log (exp (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify1.9s

Counts

105 → 105

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	170	1542
1	384	1269
2	842	1127
3	1996	1118
done	5000	1112

prune327.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	15	12
done	15	12

end0.0ms

sample857.0ms

Algorithm

intervals

Results

509.0ms

8001×

body

valid