Details

sample29.0ms

Algorithm

intervals

Results

9.0ms

307×

body

valid

simplify50.0ms

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	67	7
5	71	7
done	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(* x (- 1.0 (* y z)))

rewrite18.0ms

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:

17.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.4s

Counts

27 → 27

Iterations

Useful iterations: 3 (521.0ms)

Iter	Nodes	Cost
0	51	267
1	132	264
2	529	234
3	2615	232
done	5000	232

prune106.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite47.0ms

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:

35.0ms	(* (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:

281.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
312.0ms	(cbrt (- 1.0 (* y z)))
260.0ms	(cbrt (- 1.0 (* y z)))
230.0ms	(cbrt (- 1.0 (* y z)))

simplify898.0ms

Counts

99 → 99

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	148	2038
1	382	1877
2	1617	1755
done	5001	1640

prune443.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (* 1 (cbrt (- 1.0 (* y z)))))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

59.0ms	(* (cbrt (- 1.0 (* y z))) (* 1 (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)))

series1.2s

Counts

4 → 12

Calls

4 calls:

313.0ms	(* (cbrt (- 1.0 (* y z))) (* 1 (cbrt (- 1.0 (* y z)))))
315.0ms	(cbrt (- 1.0 (* y z)))
287.0ms	(cbrt (- 1.0 (* y z)))
264.0ms	(cbrt (- 1.0 (* y z)))

simplify995.0ms

Counts

82 → 82

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	150	1784
1	415	1630
2	1995	1483
done	5000	1410

prune466.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.7b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))
2.8b	(cbrt (- 1.0 (* y z)))

rewrite19.0ms

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:

4.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt (- 1.0 (* y z)))
328.0ms	(cbrt (- 1.0 (* y z)))
287.0ms	(cbrt (- 1.0 (* y z)))
272.0ms	(cbrt (- 1.0 (* y z)))

simplify498.0ms

Counts

64 → 64

Iterations

Useful iterations: done (495.0ms)

Iter	Nodes	Cost
0	79	1248
1	198	1192
2	758	1120
done	5000	904

prune326.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.7b

regimes392.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample750.0ms

Algorithm

intervals

Results

347.0ms

9551×

body

valid