Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	274
1	15	274
2	22	274
done	22	274

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite96.0ms

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-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 53

Calls

3 calls:

21.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
57.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
73.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
97.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	118	22761
1	296	20801
2	1081	20561
done	5000	20521

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `flip3--` `div-inv` `flip--` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

17.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
29.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
19.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
117.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
119.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
119.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.7s

Counts

123 → 123

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	182	56907
1	431	52289
2	1547	51609
done	5001	51319

prune973.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
7.8b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.8b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.8b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

15.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
10.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
21.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
169.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
191.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
193.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.6s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	128	36231
1	297	32742
2	970	32422
3	4681	31252
done	5000	31252

prune686.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y)))
0.3b	(* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))
7.3b	(/ y (cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))))
15.8b	(cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y))))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

88×	`frac-times`
87×	`flip3--` `flip--`
52×	`cbrt-div`
44×	`associate-*l/`
30×	`pow1`
26×	`associate-*r/` `associate-/r/`
21×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-exp-log`
12×	`times-frac` `add-cbrt-cube`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`cbrt-prod`
4×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `associate-/l*`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 188

Calls

4 calls:

62.0ms	(* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y)))
169.0ms	(* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))
44.0ms	(/ y (cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))))
103.0ms	(cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y)))
136.0ms	(* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))
120.0ms	(/ y (cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y)))))
82.0ms	(cbrt (* (* (- (* 1.1283791670955126 (exp z)) (* x y)) (- (* 1.1283791670955126 (exp z)) (* x y))) (- (* 1.1283791670955126 (exp z)) (* x y))))

simplify3.8s

Counts

200 → 200

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	293	130809
1	741	103885
2	4077	102728
done	5000	95328

prune834.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes377.0ms

Accuracy

61.7% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 3.4b

bsearch62.0ms

Steps

Iters	Range		Point
14	0.0	0.39292350309952606	2.2891660016159315e-308

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	486
1	21	486
done	21	486

end0.0ms

sample836.0ms

Algorithm

intervals

Results

583.0ms

8000×

body

valid