Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

318×

body

valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	52	7
4	81	7
5	87	7
done	87	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(* x (- 1.0 (* y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

19.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify1.2s

Counts

35 → 35

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	70	405
1	151	402
2	392	352
3	1409	343
done	5000	307

prune95.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite71.0ms

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×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `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 → 74

Calls

4 calls:

52.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
6.0ms	(cbrt (- 1.0 (* y z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

145.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
285.0ms	(cbrt (- 1.0 (* y z)))
286.0ms	(cbrt (- 1.0 (* y z)))
329.0ms	(cbrt (- 1.0 (* y z)))

simplify1.9s

Counts

86 → 86

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	140	1593
1	350	1517
2	1034	1381
3	3381	1193
done	5000	1144

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (- 1.0 (* y z))))
2.4b	(* x (- 1.0 (* y z)))
2.4b	(* x (- 1.0 (* y z)))
2.4b	(* x (- 1.0 (* y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
6×	`sub-neg`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (* x (- 1.0 (* y z))))
18.0ms	(* x (- 1.0 (* y z)))
19.0ms	(* x (- 1.0 (* y z)))
23.0ms	(* x (- 1.0 (* y z)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (* x (- 1.0 (* y z))))
54.0ms	(* x (- 1.0 (* y z)))
53.0ms	(* x (- 1.0 (* y z)))
56.0ms	(* x (- 1.0 (* y z)))

simplify1.3s

Counts

121 → 121

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	117	1432
1	252	1415
2	667	1241
3	2278	1207
done	5000	1090

prune361.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

localize36.0ms

Local error

Found 4 expressions with local error:

2.4b	(* x (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))
2.6b	(cbrt (- 1.0 (* y z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
6×	`pow1` `add-exp-log` `cbrt-div` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

29.0ms	(* x (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series958.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* x (- 1.0 (* y z)))
333.0ms	(cbrt (- 1.0 (* y z)))
265.0ms	(cbrt (- 1.0 (* y z)))
293.0ms	(cbrt (- 1.0 (* y z)))

simplify2.3s

Counts

89 → 89

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	134	1383
1	308	1326
2	911	1211
3	3340	1039
done	5000	988

prune416.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.5b

regimes318.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.2b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample842.0ms

Algorithm

intervals

Results

455.0ms

9617×

body

valid