Details

sample99.0ms

Algorithm

intervals

Results

26.0ms	21×	body	1280	valid
18.0ms	201×	body	80	valid
14.0ms	28×	body	640	valid
8.0ms	24×	body	320	valid
5.0ms	77×	body	80	nan
2.0ms	10×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (log (/ y (+ z y)))))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.5b	(log (/ y (+ z y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

32.0ms	(exp (* y (log (/ y (+ z y)))))
31.0ms	(/ y (+ z y))
38.0ms	(* y (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

342.0ms	(exp (* y (log (/ y (+ z y)))))
53.0ms	(/ y (+ z y))
92.0ms	(* y (log (/ y (+ z y))))
58.0ms	(log (/ y (+ z y)))

simplify818.0ms

Counts: 175 → 175

prune439.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
9.5b	(log (/ y (+ z y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
4×	`pow-unpow` `pow-pow` `flip3-+` `associate-/r*` `flip-+`
3×	`unpow-prod-down` `exp-prod` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 114

Calls

4 calls:

89.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
19.0ms	(/ y (+ z y))
18.0ms	(pow (exp y) (log (/ y (+ z y))))
11.0ms	(log (/ y (+ z y)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
60.0ms	(/ y (+ z y))
202.0ms	(pow (exp y) (log (/ y (+ z y))))
66.0ms	(log (/ y (+ z y)))

simplify536.0ms

Counts: 126 → 126

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
9.5b	(log (/ y (+ z y)))
9.5b	(log (/ y (+ z y)))
9.5b	(log (/ y (+ z y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

55.0ms	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
7.0ms	(log (/ y (+ z y)))
6.0ms	(log (/ y (+ z y)))
7.0ms	(log (/ y (+ z y)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
73.0ms	(log (/ y (+ z y)))
77.0ms	(log (/ y (+ z y)))
62.0ms	(log (/ y (+ z y)))

simplify980.0ms

Counts: 113 → 113

prune465.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

2.8b	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
5.5b	(cbrt (/ y (+ z y)))
5.5b	(cbrt (/ y (+ z y)))
5.5b	(cbrt (/ y (+ z y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
47×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`pow1`
9×	`pow-pow` `pow1/3` `distribute-lft-out`
7×	`add-exp-log`
6×	`associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `flip3-+` `flip-+` `div-inv`
2×	`pow-prod-down` `pow-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `prod-exp` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

24.0ms	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
6.0ms	(cbrt (/ y (+ z y)))
6.0ms	(cbrt (/ y (+ z y)))
6.0ms	(cbrt (/ y (+ z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

380.0ms	(pow (* (cbrt (/ y (+ z y))) (cbrt (/ y (+ z y)))) y)
198.0ms	(cbrt (/ y (+ z y)))
145.0ms	(cbrt (/ y (+ z y)))
509.0ms	(cbrt (/ y (+ z y)))

simplify1.9s

Counts: 117 → 117

prune581.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify632.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

635.0ms	6563×	body	80	valid
545.0ms	744×	body	1280	valid
416.0ms	949×	body	640	valid
285.0ms	3010×	body	80	nan
175.0ms	548×	body	320	valid
53.0ms	318×	body	160	valid