Details

sample28.0ms

Algorithm

intervals

Results

9.0ms

317×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	72
5	72
4	68
3	46
2	24
1	11
0	7

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
2.2b	(* x (- 1.0 (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(- 1.0 (* y z))
20.0ms	(* x (- 1.0 (* y z)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- 1.0 (* y z))
64.0ms	(* x (- 1.0 (* y z)))

simplify1.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	2725
2	611
1	153
0	60

prune197.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

2.2b	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

179.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))

series933.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
246.0ms	(cbrt (- 1.0 (* y z)))
315.0ms	(cbrt (- 1.0 (* y z)))
317.0ms	(cbrt (- 1.0 (* y z)))

simplify599.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1501
1	454
0	176

prune575.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))
2.4b	(cbrt (- 1.0 (* y z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

36.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))
4.0ms	(cbrt (- 1.0 (* y z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

302.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
318.0ms	(cbrt (- 1.0 (* y z)))
293.0ms	(cbrt (- 1.0 (* y z)))
269.0ms	(cbrt (- 1.0 (* y z)))

simplify711.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1558
1	382
0	147

prune668.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series1.2s

Counts

4 → 12

Calls

4 calls:

345.0ms	(cbrt (- 1.0 (* z y)))
251.0ms	(cbrt (- 1.0 (* y z)))
290.0ms	(cbrt (- 1.0 (* y z)))
289.0ms	(cbrt (- 1.0 (* y z)))

simplify509.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	926
1	250
0	102

prune676.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes866.0ms

Accuracy

94.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	40
3	40
2	33
1	29
0	18

end0.0ms

sample842.0ms

Algorithm

intervals

Results

343.0ms

9601×

body

valid