Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

319×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	24	7
3	51	7
4	79	7
5	89	7
done	89	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify2.2s

Counts

35 → 35

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	70	405
1	148	402
2	394	352
3	1244	343
4	4403	307
done	5000	307

prune84.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))

rewrite26.0ms

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:

20.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
1.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
237.0ms	(cbrt (- 1.0 (* y z)))
235.0ms	(cbrt (- 1.0 (* y z)))
232.0ms	(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts

86 → 86

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	140	1593
1	352	1517
2	1044	1381
3	3940	1205
done	5000	1193

prune300.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.7b

localize13.0ms

Local error

Found 4 expressions with local error:

2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))

rewrite8.0ms

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:

2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (- 1.0 (* y z)))
254.0ms	(cbrt (- 1.0 (* y z)))
255.0ms	(cbrt (- 1.0 (* y z)))
251.0ms	(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	81	1304
1	207	1232
2	676	1152
3	2937	936
done	5000	920

prune325.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (- 1.0 (* y z)))
2.9b	(cbrt (fma y z 1.0))
8.7b	(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`
2×	`associate-*l/`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
1.0ms	(cbrt (fma y z 1.0))
3.0ms	(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (- 1.0 (* y z)))
478.0ms	(cbrt (- 1.0 (* y z)))
223.0ms	(cbrt (fma y z 1.0))
147.0ms	(cbrt (* (- 1.0 (* y z)) (fma y z 1.0)))

simplify578.0ms

Counts

68 → 68

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	141	1148
1	347	1079
2	1104	1008
done	5000	857

prune301.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.7b

regimes238.0ms

Accuracy

0% (0.1b remaining)

Error of 3.3b against oracle of 3.1b and baseline of 3.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample391.0ms

Algorithm

intervals

Results

196.0ms

9600×

body

valid