Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
75.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.8s

Counts

68 → 68

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	119	886
1	269	858
2	683	792
3	1714	784
done	5000	777

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

6.0ms	(- (* (exp z) (/ 1.1283791670955126 y)) x)
10.0ms	(* (exp z) (/ 1.1283791670955126 y))
15.0ms	(/ 1 (- (* (exp z) (/ 1.1283791670955126 y)) x))

series125.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* (exp z) (/ 1.1283791670955126 y)) x)
23.0ms	(* (exp z) (/ 1.1283791670955126 y))
60.0ms	(/ 1 (- (* (exp z) (/ 1.1283791670955126 y)) x))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	160	1108
1	367	1034
2	1106	943
3	4305	935
done	5000	934

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)) (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)))
0.4b	(cbrt (- (* (/ (exp z) y) 1.1283791670955126) x))
0.4b	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))
0.4b	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

51.0ms	(* (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)) (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)))
6.0ms	(cbrt (- (* (/ (exp z) y) 1.1283791670955126) x))
6.0ms	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))
6.0ms	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))

series538.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)) (cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x)))
134.0ms	(cbrt (- (* (/ (exp z) y) 1.1283791670955126) x))
138.0ms	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))
142.0ms	(cbrt (- (* (exp z) (/ 1.1283791670955126 y)) x))

simplify1.6s

Counts

99 → 99

Iterations

Useful iterations: 3 (679.0ms)

Iter	Nodes	Cost
0	201	2532
1	468	2375
2	1281	2261
3	4639	2007
done	5000	2007

prune440.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log 1.1283791670955126) z)
0.8b	(- (exp (+ (log 1.1283791670955126) z)) (* x y))
8.9b	(/ y (- (exp (+ (log 1.1283791670955126) z)) (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

3.0ms	(+ (log 1.1283791670955126) z)
31.0ms	(- (exp (+ (log 1.1283791670955126) z)) (* x y))
38.0ms	(/ y (- (exp (+ (log 1.1283791670955126) z)) (* x y)))

series390.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ (log 1.1283791670955126) z)
85.0ms	(- (exp (+ (log 1.1283791670955126) z)) (* x y))
148.0ms	(/ y (- (exp (+ (log 1.1283791670955126) z)) (* x y)))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	120	941
1	276	922
2	702	786
3	1864	779
done	5000	776

prune181.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample421.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid