Details

sample96.0ms

Algorithm

intervals

Results

43.0ms	700×	body	80	nan
18.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	4748
12	4393
11	3967
10	3593
9	3111
8	2448
7	1668
6	1152
5	611
4	289
3	106
2	46
1	20
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity` `associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`associate-+r+` `sum-log` `sub-neg` `associate-l` `log-pow` `insert-posit16`
2×	`distribute-lft-out--`
1×	`+-commutative` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

211.0ms	(+ (- (- (* x (log y)) y) z) (log t))
18.0ms	(- (* x (log y)) y)
14.0ms	(* x (log y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (- (- (* x (log y)) y) z) (log t))
80.0ms	(- (* x (log y)) y)
53.0ms	(* x (log y))

simplify2.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3734
2	971
1	345
0	151

prune458.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.0b	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
0.3b	(* x (log y))

rewrite918.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`log-prod`
20×	`pow1`
18×	`distribute-lft-out`
16×	`add-sqr-sqrt` `log-pow`
14×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`sqrt-prod`
8×	`add-exp-log`
7×	`sum-log`
6×	`associate-+r+` `add-cbrt-cube`
4×	`associate-r` `insert-posit16` `distribute-lft-out--`
3×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp` `associate-+l-`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

2.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
903.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
9.0ms	(* x (log y))

series334.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(log (sqrt t))
99.0ms	(log (sqrt t))
78.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
56.0ms	(* x (log y))

simplify3.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5015
3	4777
2	1005
1	358
0	159

prune607.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`pow1/3`
2×	`associate-+l+`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 63

Calls

4 calls:

36.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series984.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (* x (+ (log (cbrt y)) (log (cbrt y)))) (* x (log (cbrt y))))
271.0ms	(cbrt y)
287.0ms	(cbrt y)
299.0ms	(cbrt y)

simplify4.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4614
2	964
1	254
0	95

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
12×	`add-exp-log`
10×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down`
6×	`associate-l` `log-pow` `add-log-exp`
5×	`pow1/3`
4×	`prod-exp` `insert-posit16`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cbrt-unprod`
2×	`rem-log-exp`
1×	`log-prod` `neg-mul-1` `sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

4 → 68

Calls

4 calls:

25.0ms	(- (* (log (* (cbrt (- y)) (cbrt -1))) (* x 3)) y)
9.0ms	(log (* (cbrt (- y)) (cbrt -1)))
38.0ms	(* (log (* (cbrt (- y)) (cbrt -1))) (* x 3))
3.0ms	(cbrt (- y))

series1.3s

Counts

4 → 12

Calls

4 calls:

226.0ms	(- (* (log (* (cbrt (- y)) (cbrt -1))) (* x 3)) y)
455.0ms	(log (* (cbrt (- y)) (cbrt -1)))
309.0ms	(* (log (* (cbrt (- y)) (cbrt -1))) (* x 3))
284.0ms	(cbrt (- y))

simplify2.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5024
3	2649
2	667
1	246
0	116

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 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	15
1	15
0	12

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.9s	23957×	body	80	nan
1.0s	8030×	body	80	valid