Details

sample100.0ms

Algorithm

intervals

Results

35.0ms	741×	body	80	nan
10.0ms	32×	body	640	valid
9.0ms	15×	body	1280	valid
9.0ms	169×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	19×	body	160	valid

simplify182.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	21	13
2	29	13
3	35	13
4	41	13
5	56	13
6	83	13
7	119	13
8	145	13
9	152	13
10	169	13
11	173	13
done	173	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize11.0ms

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))
5.7b	(log (- 1.0 y))

rewrite33.0ms

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:

16.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series232.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
65.0ms	(* z (log (- 1.0 y)))
39.0ms	(* x (log y))
42.0ms	(log (- 1.0 y))

simplify1.0s

Counts

98 → 98

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	209	1141
1	437	1103
2	1079	985
3	2877	956
done	5000	954

prune273.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))))
0.2b	(* x (log y))
7.4b	(* z (pow y 2))

rewrite109.0ms

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:

90.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
7.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series353.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(- (+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))) t)
102.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
40.0ms	(* x (log y))
30.0ms	(* z (pow y 2))

simplify585.0ms

Counts

106 → 106

Iterations

Useful iterations: done (577.0ms)

Iter	Nodes	Cost
0	220	1934
1	514	1869
2	1571	1748
done	5000	1740

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)
7.4b	(* z (pow y 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`cbrt-prod` `log-prod`
11×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
5.0ms	(* z (pow y 2))

series478.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
176.0ms	(cbrt y)
178.0ms	(cbrt y)
33.0ms	(* z (pow y 2))

simplify810.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (274.0ms)

Iter	Nodes	Cost
0	127	681
1	236	636
2	550	554
3	1457	546
done	5000	546

prune429.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
6.1b	(pow y 2/3)
7.4b	(* z (pow y 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(pow y 2/3)
5.0ms	(* z (pow y 2))

series549.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
170.0ms	(cbrt y)
168.0ms	(pow y 2/3)
32.0ms	(* z (pow y 2))

simplify3.3s

Counts

78 → 78

Iterations

Useful iterations: 4 (807.0ms)

Iter	Nodes	Cost
0	101	480
1	208	413
2	433	368
3	1006	357
4	4568	347
done	5000	347

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	52
1	48	52
done	48	52

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	24144×	body	80	nan
291.0ms	5529×	body	80	valid
271.0ms	904×	body	640	valid
245.0ms	411×	body	1280	valid
133.0ms	736×	body	320	valid
48.0ms	444×	body	160	valid