Details

sample30.0ms

Algorithm

intervals

Results

10.0ms

317×

body

valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	83
3	52
2	24
1	11
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

5.0ms	(- 1.0 (* y z))
15.0ms	(* x (- 1.0 (* y z)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- 1.0 (* y z))
60.0ms	(* x (- 1.0 (* y z)))

simplify2.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	3830
2	742
1	192
0	81

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.3b

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)))

rewrite51.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 95

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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
257.0ms	(cbrt (- 1.0 (* y z)))
314.0ms	(cbrt (- 1.0 (* y z)))
259.0ms	(cbrt (- 1.0 (* y z)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1736
1	398
0	151

prune705.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.2b

localize75.0ms

Local error

Found 4 expressions with local error:

2.4b	(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)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (- 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)))

series1.3s

Counts

4 → 12

Calls

4 calls:

350.0ms	(cbrt (- 1.0 (* y z)))
372.0ms	(cbrt (- 1.0 (* y z)))
285.0ms	(cbrt (- 1.0 (* y z)))
271.0ms	(cbrt (- 1.0 (* y z)))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	795
1	206
0	80

prune667.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.2b

localize68.0ms

Local error

Found 4 expressions with local error:

2.4b	(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)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

3.0ms	(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)))

series1.4s

Counts

4 → 12

Calls

4 calls:

340.0ms	(cbrt (- 1.0 (* y z)))
334.0ms	(cbrt (- 1.0 (* y z)))
336.0ms	(cbrt (- 1.0 (* y z)))
353.0ms	(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	795
1	206
0	80

prune639.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.2b

regimes596.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample858.0ms

Algorithm

intervals

Results

350.0ms

9601×

body

valid