Details

sample79.0ms

Algorithm

intervals

Results

17.0ms	27×	body	1280	valid
16.0ms	213×	body	80	valid
11.0ms	29×	body	640	valid
5.0ms	92×	body	80	nan
4.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
10.5b	(log (/ y (+ z y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
8×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/`
5×	`add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `associate-r` `flip-+`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

98.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
47.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
92.0ms	(* y (log (/ y (+ z y))))
60.0ms	(log (/ y (+ z y)))

simplify1.2s

Counts: 105 → 105

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
2.0b	(log (/ (cbrt y) (cbrt (+ z y))))
2.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
96×	`log-prod`
88×	`*-un-lft-identity`
84×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`flip3-+` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 146

Calls

4 calls:

15.0ms	(cbrt (+ z y))
6.0ms	(cbrt (+ z y))
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (+ z y))
157.0ms	(cbrt (+ z y))
93.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
118.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.2s

Counts: 158 → 158

prune956.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

19.0ms	(+ x (/ (exp (* -1 z)) y))
11.0ms	(/ (exp (* -1 z)) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ x (/ (exp (* -1 z)) y))
44.0ms	(/ (exp (* -1 z)) y)

simplify715.0ms

Counts: 46 → 46

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp (* -1 z)))
0.0b	(cbrt (exp (* -1 z)))
0.0b	(cbrt (exp (* -1 z)))
0.0b	(/ y (cbrt (exp (* -1 z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
6×	`add-exp-log` `associate-/r*`
5×	`add-cbrt-cube`
4×	`pow1` `exp-neg` `cbrt-div` `mul-1-neg` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `div-inv`

Counts

4 → 76

Calls

4 calls:

3.0ms	(cbrt (exp (* -1 z)))
2.0ms	(cbrt (exp (* -1 z)))
3.0ms	(cbrt (exp (* -1 z)))
8.0ms	(/ y (cbrt (exp (* -1 z))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (exp (* -1 z)))
113.0ms	(cbrt (exp (* -1 z)))
104.0ms	(cbrt (exp (* -1 z)))
94.0ms	(/ y (cbrt (exp (* -1 z))))

simplify794.0ms

Counts: 88 → 88

prune318.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify935.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

674.0ms	811×	body	1280	valid
667.0ms	6500×	body	80	valid
648.0ms	572×	body	320	valid
528.0ms	935×	body	640	valid
334.0ms	3110×	body	80	nan
54.0ms	276×	body	160	valid