Details

sample73.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
25.0ms	296×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3919
5	1752
4	591
3	184
2	61
1	21
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `diff-log` `add-exp-log` `associate--r+`
4×	`sum-log` `associate-r` `associate-l` `insert-posit16`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`associate--l-` `+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
135.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
16.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms	(* (+ y 0.5) (log y))

series634.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- x (* (+ y 0.5) (log y)))
103.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
72.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
381.0ms	(* (+ y 0.5) (log y))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1386
1	465
0	177

prune514.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`log-prod`
16×	`add-sqr-sqrt`
12×	`associate--l+` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+`
7×	`pow1`
6×	`add-cbrt-cube` `diff-log` `add-exp-log`
4×	`sum-log` `associate-r` `associate-l` `insert-posit16`
3×	`sub-neg` `distribute-lft-out`
2×	`flip3-+` `flip3--` `associate-*l/` `associate-+l-` `flip-+` `flip--` `distribute-lft-out--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `associate--r+` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

106.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
75.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
12.0ms	(- (* (+ y 0.5) (log y)) y)
25.0ms	(* (+ y 0.5) (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

87.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
65.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
590.0ms	(- (* (+ y 0.5) (log y)) y)
350.0ms	(* (+ y 0.5) (log y))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1326
1	486
0	183

prune566.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite20.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

16.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt y) (cbrt y))
269.0ms	(cbrt y)
228.0ms	(cbrt y)
264.0ms	(cbrt y)

simplify3.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune507.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (cbrt y) (cbrt y))
247.0ms	(cbrt y)
328.0ms	(cbrt y)
264.0ms	(pow y 1/3)

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	4256
3	1356
2	553
1	245
0	92

prune484.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes167.0ms

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	13
1	13
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

762.0ms	8036×	body	80	valid
725.0ms	7949×	body	80	nan