Details

sample186.0ms

Algorithm

intervals

Results

64.0ms	758×	body	80	nan
16.0ms	16×	body	1280	valid
14.0ms	167×	body	80	valid
11.0ms	28×	body	640	valid
8.0ms	27×	body	320	valid
3.0ms	19×	body	160	valid

simplify301.0ms

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: 9.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

32.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
20.0ms	(* z (log (- 1.0 y)))
12.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series353.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
107.0ms	(* z (log (- 1.0 y)))
61.0ms	(* x (log y))
73.0ms	(log (- 1.0 y))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	207	1236
1	450	1176
2	1048	1066
3	2333	1029
done	5000	1022

prune518.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.2b	(* x (log y))
8.7b	(* z (pow y 2))

rewrite116.0ms

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:

24.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
53.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
11.0ms	(* x (log y))
20.0ms	(* z (pow y 2))

series481.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
185.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
69.0ms	(* x (log y))
58.0ms	(* z (pow y 2))

simplify1.7s

Counts

119 → 119

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	225	2042
1	536	1911
2	1484	1791
done	5000	1759

prune823.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
8.7b	(* z (pow y 2))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `add-sqr-sqrt` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`associate-l` `prod-exp`
4×	`unpow-prod-down` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow1/3` `*-commutative` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 91

Calls

4 calls:

49.0ms	(* x (* 2 (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(* z (pow y 2))

series867.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* x (* 2 (log (cbrt y))))
365.0ms	(cbrt y)
292.0ms	(cbrt y)
55.0ms	(* z (pow y 2))

simplify2.9s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	165	970
1	344	897
2	848	759
3	3181	737
done	5001	737

prune586.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)
8.7b	(* z (pow y 2))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
19×	`add-exp-log`
17×	`unpow-prod-down`
15×	`cbrt-prod`
11×	`pow1` `add-cbrt-cube`
9×	`times-frac` `associate-r`
6×	`associate-l` `prod-exp`
5×	`pow-exp`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `sqr-pow`
2×	`pow-to-exp` `div-exp` `*-commutative` `unpow2`
1×	`rec-exp` `pow-flip` `pow1/3` `1-exp` `div-inv` `inv-pow`

Counts

4 → 112

Calls

4 calls:

31.0ms	(* x (* 2 (log (cbrt y))))
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)
13.0ms	(* z (pow y 2))

series728.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* x (* 2 (log (cbrt y))))
292.0ms	(cbrt y)
259.0ms	(pow (/ 1 y) -1/3)
33.0ms	(* z (pow y 2))

simplify3.9s

Counts

124 → 124

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	237	1234
1	493	1103
2	1109	942
3	4739	882
done	5000	882

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes327.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	48
1	47	48
done	47	48

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.3s	24052×	body	80	nan
873.0ms	5518×	body	80	valid
403.0ms	862×	body	640	valid
353.0ms	416×	body	1280	valid
211.0ms	749×	body	320	valid
79.0ms	495×	body	160	valid