Details

sample193.0ms

Algorithm

intervals

Results

78.0ms	818×	body	80	nan
14.0ms	186×	body	80	valid
13.0ms	25×	body	640	valid
11.0ms	12×	body	1280	valid
6.0ms	21×	body	320	valid
2.0ms	13×	body	160	valid

simplify12.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize14.0ms

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))

rewrite149.0ms

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:

71.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
57.0ms	(* z (log (- 1.0 y)))
11.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series405.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
110.0ms	(* z (log (- 1.0 y)))
69.0ms	(* x (log y))
80.0ms	(log (- 1.0 y))

simplify79.0ms

Counts: 98 → 98

prune391.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
0.0b	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.2b	(* x (log y))
7.9b	(* z (pow y 2))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

120.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
45.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
18.0ms	(* x (log y))
25.0ms	(* z (pow y 2))

series510.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
178.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
72.0ms	(* x (log y))
55.0ms	(* z (pow y 2))

simplify70.0ms

Counts: 103 → 103

prune631.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
7.9b	(* z (pow y 2))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
24×	`cbrt-prod` `associate-+l+`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

33.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
24.0ms	(* z (pow y 2))

series729.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
273.0ms	(cbrt y)
249.0ms	(cbrt y)
34.0ms	(* z (pow y 2))

simplify43.0ms

Counts: 109 → 109

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)
7.9b	(* z (pow y 2))

rewrite35.0ms

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` `unpow1/3` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
5.0ms	(pow y 1/3)
24.0ms	(* z (pow y 2))

series927.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt y)
316.0ms	(cbrt y)
306.0ms	(pow y 1/3)
39.0ms	(* z (pow y 2))

simplify190.0ms

Counts: 79 → 79

prune659.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes355.0ms

Accuracy

-0.1% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify126.0ms

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.1s	24578×	body	80	nan
542.0ms	5535×	body	80	valid
459.0ms	866×	body	640	valid
349.0ms	412×	body	1280	valid
204.0ms	748×	body	320	valid
108.0ms	468×	body	160	valid