Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

304×

body

valid

simplify86.0ms

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	84	7
5	92	7
done	92	7

prune2.0ms

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)))

rewrite25.0ms

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:

23.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify3.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (943.0ms)

Iter	Nodes	Cost
0	70	405
1	168	402
2	674	354
3	4164	343
done	5000	343

prune77.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (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)))

rewrite60.0ms

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:

44.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
7.0ms	(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:

138.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
316.0ms	(cbrt (- 1.0 (* y z)))
294.0ms	(cbrt (- 1.0 (* y z)))
323.0ms	(cbrt (- 1.0 (* y z)))

simplify738.0ms

Counts

86 → 86

Iterations

Useful iterations: done (735.0ms)

Iter	Nodes	Cost
0	140	1593
1	354	1517
2	1229	1381
done	5001	1211

prune336.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.7b

localize24.0ms

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)))

rewrite20.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

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

288.0ms	(cbrt (- 1.0 (* y z)))
309.0ms	(cbrt (- 1.0 (* y z)))
312.0ms	(cbrt (- 1.0 (* y z)))
306.0ms	(cbrt (- 1.0 (* y z)))

simplify482.0ms

Counts

72 → 72

Iterations

Useful iterations: done (479.0ms)

Iter	Nodes	Cost
0	81	1304
1	206	1232
2	803	1152
done	5001	944

prune449.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.7b

localize53.0ms

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)))

rewrite31.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

341.0ms	(cbrt (- 1.0 (* y z)))
321.0ms	(cbrt (- 1.0 (* y z)))
337.0ms	(cbrt (- 1.0 (* y z)))
351.0ms	(cbrt (- 1.0 (* y z)))

simplify604.0ms

Counts

72 → 72

Iterations

Useful iterations: done (601.0ms)

Iter	Nodes	Cost
0	81	1304
1	206	1232
2	803	1152
done	5001	944

prune538.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 2.7b

regimes409.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.8b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.2s

Algorithm

intervals

Results

354.0ms

9599×

body

valid