Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

311×

body

valid

simplify38.0ms

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: 4.1b

localize8.0ms

Local error

Found 1 expressions with local error:

3.8b	(* x (- 1.0 (* y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

21.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify2.8s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	4073
2	674
1	168
0	70

prune167.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.0b	(cbrt (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `flip3--` `add-exp-log` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
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:

63.0ms	(* x (* (cbrt (- 1.0 (* y z))) (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

118.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
292.0ms	(cbrt (- 1.0 (* y z)))
323.0ms	(cbrt (- 1.0 (* y z)))
334.0ms	(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1268
1	354
0	139

prune517.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
20×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
18×	`prod-diff`
17×	`pow1`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r` `associate-l`
12×	`cbrt-div` `add-exp-log`
10×	`add-cbrt-cube`
9×	`flip3--` `flip--`
6×	`sub-neg` `pow1/3`
5×	`pow-prod-down`
4×	`cbrt-prod` `expm1-log1p-u` `frac-times` `swap-sqr` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 137

Calls

4 calls:

34.0ms	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
27.0ms	(* x (- 1.0 (* y z)))
22.0ms	(* x (- 1.0 (* y z)))
22.0ms	(* x (- 1.0 (* y z)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* x (- 1.0 (* y z)))) (cbrt (* x (- 1.0 (* y z)))))
55.0ms	(* x (- 1.0 (* y z)))
52.0ms	(* x (- 1.0 (* y z)))
75.0ms	(* x (- 1.0 (* y z)))

simplify1.1s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	1488
1	376
0	157

prune544.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
3.8b	(* x (- 1.0 (* y z)))
3.8b	(* x (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt x)
15.0ms	(* x (- 1.0 (* y z)))
15.0ms	(* x (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
54.0ms	(* x (- 1.0 (* y z)))
53.0ms	(* x (- 1.0 (* y z)))
272.0ms	(cbrt (- 1.0 (* y z)))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1532
1	360
0	152

prune574.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 3.9b

regimes429.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample897.0ms

Algorithm

intervals

Results

344.0ms

9631×

body

valid