Details

sample78.0ms

Algorithm

intervals

Results

35.0ms	257×	body	80	valid
20.0ms	247×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3926
5	2171
4	673
3	203
2	63
1	21
0	10

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`log-prod`
5×	`pow1` `associate-+l+`
4×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `prod-diff`
2×	`expm1-log1p-u` `sum-log` `flip3-+` `associate-*l/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

35.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
39.0ms	(* (+ y 0.5) (log y))

series517.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
383.0ms	(* (+ y 0.5) (log y))

simplify3.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4585
2	985
1	331
0	123

prune360.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ 0.5 y))
0.3b	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
20×	`frac-add`
18×	`flip3-+` `flip-+`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-+l+` `associate-+r+` `log-pow` `distribute-lft-out`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

19.0ms	(* (log (cbrt y)) (+ 0.5 y))
32.0ms	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.3s

Counts

4 → 12

Calls

4 calls:

623.0ms	(* (log (cbrt y)) (+ 0.5 y))
1.2s	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (log (cbrt y)) (+ 0.5 y)))
277.0ms	(cbrt y)
242.0ms	(cbrt y)

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	3450
1	735
0	205

prune792.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 3 y 1.5)
0.1b	(+ (- x (* (* -1/3 (- (log y))) (fma 3 y 1.5))) y)
0.3b	(* (* -1/3 (- (log y))) (fma 3 y 1.5))
0.4b	(* -1/3 (- (log y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
13×	`pow1` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`add-log-exp`
6×	`log-prod` `distribute-neg-in`
5×	`associate-+l+`
4×	`distribute-lft-neg-in` `distribute-rgt-in` `expm1-log1p-u` `distribute-rgt-neg-in` `distribute-lft-in` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `prod-diff` `fma-udef`
2×	`sum-log` `log-pow` `*-commutative` `distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `+-commutative` `neg-mul-1` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

0.0ms	(fma 3 y 1.5)
32.0ms	(+ (- x (* (* -1/3 (- (log y))) (fma 3 y 1.5))) y)
18.0ms	(* (* -1/3 (- (log y))) (fma 3 y 1.5))
9.0ms	(* -1/3 (- (log y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma 3 y 1.5)
60.0ms	(+ (- x (* (* -1/3 (- (log y))) (fma 3 y 1.5))) y)
604.0ms	(* (* -1/3 (- (log y))) (fma 3 y 1.5))
296.0ms	(* -1/3 (- (log y)))

simplify1.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1571
1	473
0	179

prune818.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (log (cbrt y)) (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))) (cbrt (+ 0.5 y)))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-div`
34×	`cbrt-prod` `associate-*r/`
33×	`flip3-+` `flip-+`
32×	`frac-times` `*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`associate-*l/` `add-cube-cbrt`
15×	`add-exp-log`
14×	`associate-r`
9×	`swap-sqr`
8×	`add-cbrt-cube` `pow1/3` `associate-l` `pow-prod-down`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 138

Calls

4 calls:

180.0ms	(* (* (log (cbrt y)) (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))) (cbrt (+ 0.5 y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
52.0ms	(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

715.0ms	(* (* (log (cbrt y)) (* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))) (cbrt (+ 0.5 y)))
211.0ms	(cbrt y)
284.0ms	(cbrt y)
168.0ms	(* (cbrt (+ 0.5 y)) (cbrt (+ 0.5 y)))

simplify2.6s

Counts

150 → 150

Iterations

Iter	Nodes
done	5001
2	1847
1	607
0	222

prune975.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
3	32
2	28
1	19
0	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

830.0ms	8101×	body	80	nan
814.0ms	8045×	body	80	valid
0.0ms	1×	body	1280	valid