Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	48	9
4	72	9
5	94	9
6	113	9
7	135	9
8	181	9
9	247	9
10	330	9
11	360	9
12	413	9
13	453	9
14	469	9
15	505	9
16	595	9
17	827	9
18	1113	9
19	1660	9
20	2148	9
21	2207	9
done	2207	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.8b	(* (/ x y) (- z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
18.0ms	(* (/ x y) (- z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
50.0ms	(* (/ x y) (- z t))

simplify1.8s

Counts

63 → 63

Iterations

Useful iterations: 3 (908.0ms)

Iter	Nodes	Cost
0	120	727
1	313	701
2	1007	625
3	3819	619
done	5000	619

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.8b	(* (/ (cbrt x) y) (- z t))
2.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
18.0ms	(* (/ (cbrt x) y) (- z t))
32.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
176.0ms	(cbrt x)
161.0ms	(* (/ (cbrt x) y) (- z t))
84.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify984.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (387.0ms)

Iter	Nodes	Cost
0	224	2272
1	679	2023
2	2418	1490
done	5001	1490

prune382.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
2.9b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

498×	`add-exp-log`
297×	`prod-exp`
176×	`add-cbrt-cube`
175×	`cbrt-unprod`
149×	`div-exp`
83×	`cbrt-undiv`
32×	`1-exp`
29×	`frac-times` `associate-*r/`
24×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`sub-neg` `flip3--` `flip--`
7×	`associate-l` `associate-*l/`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`times-frac` `pow1/3`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 219

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
170.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
183.0ms	(cbrt x)
187.0ms	(cbrt x)
53.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))

simplify592.0ms

Counts

231 → 231

Iterations

Useful iterations: done (583.0ms)

Iter	Nodes	Cost
0	375	9381
1	1472	8298
done	5000	8296

prune427.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))
4.4b	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
4.4b	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
4.4b	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))

rewrite632.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-exp-log`
122×	`prod-exp` `cbrt-unprod`
92×	`add-cbrt-cube`
80×	`associate-*r/`
36×	`frac-times`
34×	`cbrt-undiv` `div-exp`
33×	`cbrt-div`
25×	`pow1`
24×	`distribute-rgt-in` `distribute-lft-in`
16×	`flip3--` `flip--`
15×	`pow-prod-down`
12×	`associate-*l/`
8×	`sub-neg`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 167

Calls

4 calls:

159.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))
153.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
152.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
154.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t))))
124.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
117.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))
118.0ms	(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) (- z t)))))

simplify1.5s

Counts

179 → 179

Iterations

Useful iterations: 2 (430.0ms)

Iter	Nodes	Cost
0	307	7630
1	1069	7408
2	4577	4251
done	5000	4251

prune681.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample555.0ms

Algorithm

intervals

Results

280.0ms

10696×

body

valid