Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
16.0ms	296×	body	80	nan

simplify3.1s

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

localize18.0ms

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))

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

42.0ms	(- x (* (+ y 0.5) (log y)))
2.4s	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
410.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
37.0ms	(* (+ y 0.5) (log y))

series544.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (* (+ y 0.5) (log y)))
67.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
74.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
343.0ms	(* (+ y 0.5) (log y))

simplify1.7s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1457
1	508
0	194

prune628.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

791.0ms	(+ x (- (- y (* (+ 0.5 y) (log y))) z))
535.0ms	(- (- y (* (+ 0.5 y) (log y))) z)
43.0ms	(* (+ 0.5 y) (log y))
62.0ms	(- y (* (+ 0.5 y) (log y)))

series1.7s

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (- (- y (* (+ 0.5 y) (log y))) z))
107.0ms	(- (- y (* (+ 0.5 y) (log y))) z)
463.0ms	(* (+ 0.5 y) (log y))
1.0s	(- y (* (+ 0.5 y) (log y)))

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1449
1	504
0	190

prune567.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

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)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

411.0ms	(* (cbrt y) (cbrt y))
287.0ms	(cbrt y)
316.0ms	(cbrt y)
342.0ms	(cbrt y)

simplify3.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
4	4512
3	1200
2	427
1	151
0	66

prune572.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

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)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`add-cbrt-cube` `pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `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` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt y) (cbrt y))
313.0ms	(cbrt y)
346.0ms	(cbrt y)
299.0ms	(pow y 1/3)

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	1595
2	684
1	262
0	95

prune576.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

903.0ms	8036×	body	80	valid
639.0ms	7949×	body	80	nan