Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

310×

body

valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	46	7
4	63	7
5	67	7
done	67	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

18.0ms

(* x (- 1.0 (* y z)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(* x (- 1.0 (* y z)))

simplify2.0s

Counts

27 → 27

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	51	267
1	122	264
2	341	232
3	1246	232
done	5001	232

prune67.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.6b	(cbrt (- 1.0 (* y z)))
3.6b	(cbrt (- 1.0 (* y z)))
3.6b	(cbrt (- 1.0 (* y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

57.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

137.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
290.0ms	(cbrt (- 1.0 (* y z)))
285.0ms	(cbrt (- 1.0 (* y z)))
351.0ms	(cbrt (- 1.0 (* y z)))

simplify2.1s

Counts

78 → 78

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	136	1519
1	338	1455
2	987	1334
3	3182	1146
done	5001	1100

prune375.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize20.0ms

Local error

Found 4 expressions with local error:

3.6b	(cbrt (- 1.0 (* y z)))
3.6b	(cbrt (- 1.0 (* y z)))
3.6b	(cbrt (- 1.0 (* y z)))
3.6b	(cbrt (- 1.0 (* y z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (- 1.0 (* y z)))
336.0ms	(cbrt (- 1.0 (* y z)))
350.0ms	(cbrt (- 1.0 (* y z)))
321.0ms	(cbrt (- 1.0 (* y z)))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	610	1120
3	2180	888
done	5000	824

prune327.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
1.3b	(* (cbrt x) (- 1.0 (* y z)))
2.4b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`pow1`
23×	`cbrt-prod`
20×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `prod-exp` `cbrt-unprod`
7×	`pow1/3`
6×	`sub-neg` `associate-*r/` `swap-sqr` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt x)
14.0ms	(* (cbrt x) (cbrt x))
31.0ms	(* (cbrt x) (- 1.0 (* y z)))
88.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt x)
277.0ms	(* (cbrt x) (cbrt x))
235.0ms	(* (cbrt x) (- 1.0 (* y z)))
100.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	141	1423
1	351	1218
2	1369	1006
done	5001	876

prune304.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.4b

regimes294.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample859.0ms

Algorithm

intervals

Results

425.0ms

9682×

body

valid