Details

sample91.0ms

Algorithm

intervals

Results

16.0ms

326×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	16
3	16
2	15
1	11
0	6

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

30.0ms

(* (* y z) z)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (* y z) z)

simplify751.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
2	707
1	102
0	38

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
10.1b	(* (* (* (cbrt z) (cbrt z)) z) y)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 62

Calls

4 calls:

2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
80.0ms	(* (* (* (cbrt z) (cbrt z)) z) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt z)
248.0ms	(cbrt z)
332.0ms	(cbrt z)
195.0ms	(* (* (* (cbrt z) (cbrt z)) z) y)

simplify880.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1204
1	211
0	79

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.1b	(fma y (* z z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (* z z) x)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(fma y (* z z) x)

simplify4.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	2725
3	371
2	92
1	29
0	19

prune98.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (- y) (cbrt (- (pow z 5)))) (pow (cbrt -1) 2)) (cbrt z))
0.6b	(cbrt z)
10.1b	(* (- y) (cbrt (- (pow z 5))))
23.6b	(cbrt (- (pow z 5)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
27×	`associate-r` `add-exp-log`
25×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
17×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
12×	`unpow-prod-down`
11×	`associate-l`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`cbrt-unprod`
4×	`distribute-lft-neg-out` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`neg-mul-1`
2×	`pow-to-exp` `pow1/3` `pow-prod-down` `pow-exp` `*-commutative` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

200.0ms	(* (* (* (- y) (cbrt (- (pow z 5)))) (pow (cbrt -1) 2)) (cbrt z))
1.0ms	(cbrt z)
55.0ms	(* (- y) (cbrt (- (pow z 5))))
7.0ms	(cbrt (- (pow z 5)))

series926.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* (* (- y) (cbrt (- (pow z 5)))) (pow (cbrt -1) 2)) (cbrt z))
307.0ms	(cbrt z)
138.0ms	(* (- y) (cbrt (- (pow z 5))))
366.0ms	(cbrt (- (pow z 5)))

simplify1.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2651
1	454
0	188

prune847.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes363.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

446.0ms

10530×

body

valid