Details

sample189.0ms

Algorithm

intervals

Results

66.0ms	747×	body	80	nan
17.0ms	37×	body	640	valid
16.0ms	177×	body	80	valid
14.0ms	15×	body	1280	valid
5.0ms	15×	body	320	valid
3.0ms	14×	body	160	valid

simplify653.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	30	13
3	38	13
4	44	13
5	59	13
6	83	13
7	105	13
8	124	13
9	132	13
10	139	13
11	140	13
done	140	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

42.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
21.0ms	(* z (log (- 1.0 y)))
9.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series342.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
92.0ms	(* z (log (- 1.0 y)))
63.0ms	(* x (log y))
63.0ms	(log (- 1.0 y))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	209	1141
1	437	1103
2	1047	983
3	2659	953
done	5000	952

prune482.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(* x (log y))
8.9b	(* z (pow y 2))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
25×	`add-sqr-sqrt`
24×	`log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+` `associate-r`
11×	`add-exp-log` `add-log-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`sub-neg` `associate-+l+` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `associate-*r/` `prod-exp`
2×	`flip3--` `diff-log` `sum-log` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3-+` `pow-prod-down` `pow-exp` `log-pow` `flip-+`

Counts

4 → 107

Calls

4 calls:

48.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
24.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
11.0ms	(* x (log y))
12.0ms	(* z (pow y 2))

series431.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
146.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
63.0ms	(* x (log y))
43.0ms	(* z (pow y 2))

simplify1.1s

Counts

119 → 119

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	225	2042
1	536	1911
2	1486	1791
done	5001	1759

prune735.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.9b	(* z (pow y 2))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
24.0ms	(* z (pow y 2))

series1.0s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt y)
323.0ms	(cbrt y)
328.0ms	(cbrt y)
54.0ms	(* z (pow y 2))

simplify4.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (242.0ms)

Iter	Nodes	Cost
0	70	427
1	141	392
2	303	339
3	864	328
4	4317	328
done	5000	328

prune590.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)
8.9b	(* z (pow y 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
14×	`add-exp-log`
9×	`times-frac`
8×	`associate-r`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
5×	`pow-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `associate-l` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow1/3` `div-exp` `unpow2`
1×	`rec-exp` `pow-flip` `1-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)
30.0ms	(* z (pow y 2))

series806.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt y)
265.0ms	(cbrt y)
264.0ms	(pow (/ 1 y) -1/3)
32.0ms	(* z (pow y 2))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	144	691
1	295	597
2	559	534
3	1416	519
done	5001	517

prune625.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

regimes352.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	49
1	47	49
done	47	49

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.7s	24307×	body	80	nan
669.0ms	5589×	body	80	valid
420.0ms	892×	body	640	valid
297.0ms	371×	body	1280	valid
231.0ms	696×	body	320	valid
129.0ms	476×	body	160	valid