Details

sample124.0ms

Algorithm

intervals

Results

44.0ms	690×	body	80	nan
20.0ms	256×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2128
4	480
3	114
2	48
1	20
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(- (* x (log y)) y)
0.2b	(* x (log y))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

77.0ms	(- (- (* x (log y)) y) z)
14.0ms	(- (* x (log y)) y)
13.0ms	(* x (log y))

series177.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (- (* x (log y)) y) z)
86.0ms	(- (* x (log y)) y)
51.0ms	(* x (log y))

simplify2.1s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	3765
2	739
1	278
0	127

prune442.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`associate-+l+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

17.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series932.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* (log (cbrt y)) x))
291.0ms	(cbrt y)
253.0ms	(cbrt y)
255.0ms	(cbrt y)

simplify1.4s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	870
1	181
0	62

prune457.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (cbrt -1) (cbrt (- y))))
0.2b	(* (* 3 (log (* (cbrt -1) (cbrt (- y))))) x)
0.3b	(* 3 (log (* (cbrt -1) (cbrt (- y)))))
0.6b	(cbrt (- y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
14×	`add-exp-log`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`pow-prod-down`
6×	`log-pow`
5×	`pow1/3` `prod-exp`
4×	`associate-l` `cbrt-unprod` `add-log-exp`
3×	`distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in`
2×	`rem-log-exp` `*-commutative`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(log (* (cbrt -1) (cbrt (- y))))
35.0ms	(* (* 3 (log (* (cbrt -1) (cbrt (- y))))) x)
47.0ms	(* 3 (log (* (cbrt -1) (cbrt (- y)))))
3.0ms	(cbrt (- y))

series1.6s

Counts

4 → 12

Calls

4 calls:

500.0ms	(log (* (cbrt -1) (cbrt (- y))))
308.0ms	(* (* 3 (log (* (cbrt -1) (cbrt (- y))))) x)
460.0ms	(* 3 (log (* (cbrt -1) (cbrt (- y)))))
300.0ms	(cbrt (- y))

simplify1.3s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1019
1	243
0	113

prune598.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 3 (* 1/3 (log y))) x) y)
0.2b	(* (* 3 (* 1/3 (log y))) x)
0.3b	(* 3 (* 1/3 (log y)))
0.4b	(* 1/3 (log y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
18×	`log-prod`
16×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`associate-l`
6×	`add-log-exp`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

45.0ms	(- (* (* 3 (* 1/3 (log y))) x) y)
44.0ms	(* (* 3 (* 1/3 (log y))) x)
21.0ms	(* 3 (* 1/3 (log y)))
10.0ms	(* 1/3 (log y))

series521.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- (* (* 3 (* 1/3 (log y))) x) y)
94.0ms	(* (* 3 (* 1/3 (log y))) x)
179.0ms	(* 3 (* 1/3 (log y)))
179.0ms	(* 1/3 (log y))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1552
1	374
0	154

prune509.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes656.0ms

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	12
1	12
0	10

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s	24527×	body	80	nan
606.0ms	8037×	body	80	valid
1.0ms	1×	body	1280	valid