Details

sample220.0ms

Algorithm

intervals

Results

89.0ms	763×	body	80	nan
19.0ms	38×	body	640	valid
19.0ms	184×	body	80	valid
12.0ms	10×	body	1280	valid
7.0ms	21×	body	320	valid
1.0ms	6×	body	160	valid

simplify218.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.2b	(* x (log y))
5.4b	(log (- 1.0 y))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`associate-+l+` `add-cbrt-cube`
4×	`associate-r` `distribute-lft-out--` `difference-of-squares`
3×	`associate-l`
2×	`log-div` `flip3--` `diff-log` `sum-log` `log-pow` `flip--`
1×	`+-commutative` `sub-neg` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

73.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
36.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
16.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series412.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
123.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
61.0ms	(* x (log y))
83.0ms	(log (- 1.0 y))

simplify732.0ms

Counts: 96 → 96

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

64.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
22.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
21.0ms	(* x (log y))

series539.0ms

Counts

3 → 9

Calls

3 calls:

294.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
189.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
56.0ms	(* x (log y))

simplify2.2s

Counts: 77 → 77

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt y) (cbrt y))
243.0ms	(cbrt y)
242.0ms	(cbrt y)
312.0ms	(cbrt y)

simplify786.0ms

Counts: 85 → 85

prune614.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y (* 2 1/3))))
0.2b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
6.0b	(pow y (* 2 1/3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

16.0ms	(* x (log (pow y (* 2 1/3))))
13.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
5.0ms	(pow y (* 2 1/3))

series726.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (pow y (* 2 1/3))))
134.0ms	(* (log (cbrt y)) x)
273.0ms	(cbrt y)
227.0ms	(pow y (* 2 1/3))

simplify505.0ms

Counts: 91 → 91

prune675.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify656.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	24260×	body	80	nan
545.0ms	5551×	body	80	valid
486.0ms	833×	body	640	valid
326.0ms	377×	body	1280	valid
241.0ms	784×	body	320	valid
113.0ms	477×	body	160	valid