Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

346×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	24	11
done	24	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (+ (* x y) (* z t)) (* a b))
37.0ms	(+ (* x y) (* z t))

simplify806.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (207.0ms)

Iter	Nodes	Cost
0	57	421
1	185	395
2	620	373
3	2067	369
done	5000	369

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))

rewrite34.0ms

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:

3.0ms	(+ (* x y) (* z t))
19.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x y) (* z t))
37.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
71.0ms	(sqrt (+ (* x y) (* z t)))
74.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.2s

Counts

110 → 110

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	106	2066
1	233	1475
2	739	1367
3	2671	1304
done	5000	1300

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.8b	(* (* z t) (- (* z t) (* x y)))
2.8b	(+ (pow (* x y) 3) (pow (* z t) 3))
38.8b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

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:

10.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
12.0ms	(* (* z t) (- (* z t) (* x y)))
8.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
37.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
58.0ms	(* (* z t) (- (* z t) (* x y)))
198.0ms	(+ (pow (* x y) 3) (pow (* z t) 3))
139.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify932.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (238.0ms)

Iter	Nodes	Cost
0	166	3122
1	433	2980
2	2147	2733
done	5001	2733

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

13.0b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
24.4b	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
24.4b	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
25.2b	(* (/ 1 (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

103×	`add-sqr-sqrt`
100×	`times-frac`
87×	`*-un-lft-identity`
59×	`sqrt-prod`
55×	`add-cube-cbrt`
36×	`associate-r`
28×	`add-exp-log`
24×	`associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`sum-cubes` `distribute-lft-out`
10×	`sqrt-div`
9×	`div-exp`
8×	`pow1` `prod-exp`
6×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+`
5×	`cbrt-undiv` `associate-/l*`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `rec-exp` `sqrt-pow1` `pow1/2` `1-exp` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 186

Calls

4 calls:

40.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
14.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
15.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
131.0ms	(* (/ 1 (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))))
115.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
116.0ms	(sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
135.0ms	(* (/ 1 (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))))

simplify1.2s

Counts

198 → 198

Iterations

Useful iterations: 2 (342.0ms)

Iter	Nodes	Cost
0	234	11258
1	687	10459
2	2769	9115
done	5000	9115

prune665.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes307.0ms

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	11
1	16	11
done	16	11

end0.0ms

sample789.0ms

Algorithm

intervals

Results

381.0ms

11878×

body

valid