Details

sample216.0ms

Algorithm

intervals

Results

96.0ms	821×	body	80	nan
21.0ms	19×	body	1280	valid
18.0ms	181×	body	80	valid
15.0ms	28×	body	640	valid
7.0ms	21×	body	320	valid
2.0ms	9×	body	160	valid

simplify677.0ms

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

localize17.0ms

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)))
0.3b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite120.0ms

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:

74.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
15.0ms	(* z (log (- 1.0 y)))
16.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series346.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
85.0ms	(* z (log (- 1.0 y)))
50.0ms	(* x (log y))
64.0ms	(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

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

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))))) t)
0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
6.7b	(* z (pow y 2))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

334.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
17.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
14.0ms	(* x (log y))
13.0ms	(* z (pow y 2))

series539.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
156.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
47.0ms	(* x (log y))
49.0ms	(* z (pow y 2))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	220	1934
1	514	1869
2	1510	1708
done	5000	1658

prune708.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
6.7b	(* z (pow y 2))

rewrite57.0ms

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:

31.0ms	(* x (* 2 (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
19.0ms	(* z (pow y 2))

series757.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* x (* 2 (log (cbrt y))))
290.0ms	(cbrt y)
266.0ms	(cbrt y)
46.0ms	(* z (pow y 2))

simplify3.2s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.7s)

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

prune689.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
6.7b	(* z (pow y 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
18×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log`
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 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
15.0ms	(* z (pow y 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt y)
403.0ms	(cbrt (cbrt y))
417.0ms	(cbrt (cbrt y))
45.0ms	(* z (pow y 2))

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (298.0ms)

Iter	Nodes	Cost
0	88	513
1	174	476
2	368	419
3	1010	408
done	5000	408

prune688.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes227.0ms

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	31	46
1	41	46
done	41	46

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.4s	23761×	body	80	nan
830.0ms	5517×	body	80	valid
501.0ms	893×	body	640	valid
408.0ms	426×	body	1280	valid
264.0ms	738×	body	320	valid
93.0ms	469×	body	160	valid