Details

sample69.0ms

Algorithm

intervals

Results

18.0ms	299×	body	80	valid
16.0ms	330×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3816
6	2185
5	878
4	312
3	107
2	51
1	25
0	11

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log z) (- 1.0 z))
0.0b	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
0.1b	(* y (+ (log z) (- 1.0 z)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

13.0ms	(+ (log z) (- 1.0 z))
8.0ms	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
51.0ms	(* y (+ (log z) (- 1.0 z)))

series419.0ms

Counts

3 → 9

Calls

3 calls:

265.0ms	(+ (log z) (- 1.0 z))
70.0ms	(+ (* x 0.5) (* y (+ (log z) (- 1.0 z))))
83.0ms	(* y (+ (log z) (- 1.0 z)))

simplify594.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1514
1	353
0	120

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(+ (* x 0.5) (+ (* y (log z)) (* (- 1.0 z) y)))
0.1b	(+ (* y (log z)) (* (- 1.0 z) y))
0.2b	(* y (log z))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`log-prod` `add-cube-cbrt`
11×	`add-log-exp`
9×	`pow1`
8×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

17.0ms	(* (- 1.0 z) y)
33.0ms	(+ (* x 0.5) (+ (* y (log z)) (* (- 1.0 z) y)))
8.0ms	(+ (* y (log z)) (* (- 1.0 z) y))
7.0ms	(* y (log z))

series272.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- 1.0 z) y)
70.0ms	(+ (* x 0.5) (+ (* y (log z)) (* (- 1.0 z) y)))
119.0ms	(+ (* y (log z)) (* (- 1.0 z) y))
48.0ms	(* y (log z))

simplify944.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1777
1	425
0	158

prune495.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt z) (cbrt z))
297.0ms	(cbrt z)
280.0ms	(cbrt z)
301.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune470.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (- 1.0 z) (log (cbrt z))) y)
0.2b	(* (log (* 1 (pow z 2/3))) y)
0.6b	(cbrt z)
5.9b	(pow z 2/3)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`pow1`
11×	`associate-l` `add-cube-cbrt`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`distribute-lft-out` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `unpow-prod-down` `log-pow`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `pow-exp` `flip-+` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

116.0ms	(* (+ (- 1.0 z) (log (cbrt z))) y)
16.0ms	(* (log (* 1 (pow z 2/3))) y)
1.0ms	(cbrt z)
2.0ms	(pow z 2/3)

series996.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (+ (- 1.0 z) (log (cbrt z))) y)
173.0ms	(* (log (* 1 (pow z 2/3))) y)
357.0ms	(cbrt z)
273.0ms	(pow z 2/3)

simplify1.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1821
1	353
0	140

prune514.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	9359×	body	80	nan
901.0ms	9196×	body	80	valid