Details

sample102.0ms

Algorithm

intervals

Results

38.0ms	823×	body	80	nan
9.0ms	186×	body	80	valid
7.0ms	12×	body	1280	valid
6.0ms	22×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	15×	body	160	valid

simplify292.0ms

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	128	13
8	184	13
9	202	13
10	219	13
11	249	13
done	249	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize10.0ms

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))
5.2b	(log (- 1.0 y))

rewrite31.0ms

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))
2.0ms	(log (- 1.0 y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
67.0ms	(* z (log (- 1.0 y)))
37.0ms	(* x (log y))
46.0ms	(log (- 1.0 y))

simplify494.0ms

Counts

98 → 98

Iterations

Useful iterations: done (491.0ms)

Iter	Nodes	Cost
0	209	1141
1	447	1103
2	1457	981
done	5001	969

prune262.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))
8.5b	(* z (pow y 2))

rewrite32.0ms

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:

7.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
13.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
4.0ms	(* x (log y))
5.0ms	(* z (pow y 2))

series473.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
296.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
42.0ms	(* x (log y))
29.0ms	(* z (pow y 2))

simplify701.0ms

Counts

119 → 119

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	225	2042
1	529	1911
2	2023	1799
done	5000	1791

prune430.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
8.5b	(* z (pow y 2))

rewrite8.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series548.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt y)
173.0ms	(cbrt y)
176.0ms	(cbrt y)
30.0ms	(* z (pow y 2))

simplify1.9s

Counts

72 → 72

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	70	427
1	144	392
2	492	339
3	2145	328
done	5001	328

prune332.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)
8.5b	(* z (pow y 2))

rewrite12.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)
6.0ms	(* z (pow y 2))

series568.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
185.0ms	(cbrt y)
173.0ms	(pow (/ 1 y) -1/3)
29.0ms	(* z (pow y 2))

simplify7.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (876.0ms)

Iter	Nodes	Cost
0	144	691
1	309	607
2	991	540
3	4790	519
done	5000	519

prune391.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	49
1	46	49
done	46	49

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	24472×	body	80	nan
272.0ms	5489×	body	80	valid
270.0ms	918×	body	640	valid
244.0ms	409×	body	1280	valid
130.0ms	755×	body	320	valid
49.0ms	460×	body	160	valid