Details

sample182.0ms

Algorithm

intervals

Results

89.0ms	832×	body	80	nan
17.0ms	185×	body	80	valid
14.0ms	26×	body	640	valid
9.0ms	10×	body	1280	valid
6.0ms	21×	body	320	valid
3.0ms	16×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
6.8b	(log (- 1.0 y))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

80.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
21.0ms	(* (- z 1.0) (log (- 1.0 y)))
33.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series377.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
45.0ms	(* (- z 1.0) (log (- 1.0 y)))
87.0ms	(* (- x 1.0) (log y))
48.0ms	(log (- 1.0 y))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1504
1	536
0	235

prune513.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
0.0b	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
0.0b	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.1b	(* (- x 1.0) (log y))

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
28×	`associate-*l/`
27×	`flip3--` `flip--`
26×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
24×	`log-prod`
21×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
16×	`frac-add`
14×	`pow1` `associate-+r+`
13×	`frac-times`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`sub-neg`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 150

Calls

4 calls:

61.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
393.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
27.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
17.0ms	(* (- x 1.0) (log y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
83.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
40.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
76.0ms	(* (- x 1.0) (log y))

simplify2.8s

Counts

162 → 162

Iterations

Iter	Nodes
done	5003
2	4830
1	1040
0	354

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

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:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt y) (cbrt y))
268.0ms	(cbrt y)
241.0ms	(cbrt y)
248.0ms	(cbrt y)

simplify3.3s

Counts

89 → 89

Iterations

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

prune727.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
5.1b	(pow y 1/3)

rewrite12.0ms

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:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt y) (cbrt y))
333.0ms	(cbrt y)
287.0ms	(cbrt y)
288.0ms	(pow y 1/3)

simplify2.4s

Counts

96 → 96

Iterations

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

prune830.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes464.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.7s	24405×	body	80	nan
1.4s	5990×	body	80	valid
536.0ms	730×	body	640	valid
271.0ms	641×	body	320	valid
246.0ms	258×	body	1280	valid
82.0ms	417×	body	160	valid