Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

332×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x y) (* z t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

2.0ms

(+ (* x y) (* z t))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(+ (* x y) (* z t))

simplify2.0s

Counts

14 → 14

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	31	160
1	99	155
2	318	141
3	860	141
4	2086	141
done	5001	141

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.3b	(sqrt (+ (* x y) (* z t)))
0.3b	(sqrt (+ (* x y) (* z t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
20.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x y) (* z t))
38.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
78.0ms	(sqrt (+ (* x y) (* z t)))
76.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.5s

Counts

110 → 110

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	106	2066
1	233	1475
2	739	1367
3	2671	1304
done	5001	1300

prune234.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t z) (* x y))
0.3b	(pow (+ (* t z) (* x y)) 3)
33.7b	(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* t z) (* x y))
4.0ms	(pow (+ (* t z) (* x y)) 3)
4.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

series213.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* t z) (* x y))
134.0ms	(pow (+ (* t z) (* x y)) 3)
39.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

simplify522.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	93	1090
1	262	901
2	995	821
done	5001	821

prune144.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (pow (* t z) 3) (pow (* x y) 3))
1.6b	(+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z)))
3.0b	(* (* x y) (- (* x y) (* t z)))
34.9b	(/ (+ (pow (* t z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ (pow (* t z) 3) (pow (* x y) 3))
10.0ms	(+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z)))
15.0ms	(* (* x y) (- (* x y) (* t z)))
35.0ms	(/ (+ (pow (* t z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z))))

series538.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (pow (* t z) 3) (pow (* x y) 3))
98.0ms	(+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z)))
70.0ms	(* (* x y) (- (* x y) (* t z)))
146.0ms	(/ (+ (pow (* t z) 3) (pow (* x y) 3)) (+ (* (* x y) (- (* x y) (* t z))) (* (* t z) (* t z))))

simplify1.0s

Counts

103 → 103

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	164	3122
1	432	2980
2	2141	2733
done	5000	2733

prune279.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

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	7	7
1	10	7
done	10	7

end0.0ms

sample506.0ms

Algorithm

intervals

Results

239.0ms

10454×

body

valid