Details

sample93.0ms

Algorithm

intervals

Results

19.0ms	211×	body	80	valid
19.0ms	25×	body	1280	valid
13.0ms	27×	body	640	valid
8.0ms	81×	body	80	nan
4.0ms	13×	body	320	valid
3.0ms	15×	body	160	valid

simplify68.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.1b	(log (/ y (+ z y)))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
206×	`*-un-lft-identity`
198×	`log-prod`
144×	`exp-sum`
140×	`add-sqr-sqrt`
138×	`add-cube-cbrt`
90×	`distribute-rgt-in` `distribute-lft-in`
39×	`associate-/l*`
34×	`distribute-lft-out`
22×	`associate-/r/`
12×	`flip3-+` `flip-+` `div-inv`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`associate-r`
3×	`associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 267

Calls

4 calls:

63.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
115.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
22.0ms	(* y (log (/ y (+ z y))))
8.0ms	(log (/ y (+ z y)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
99.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
84.0ms	(* y (log (/ y (+ z y))))
73.0ms	(log (/ y (+ z y)))

simplify55.0ms

Counts: 279 → 279

prune857.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (cbrt y) (cbrt (+ z y))))
4.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt y)
223.0ms	(cbrt y)
95.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
84.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify78.0ms

Counts: 152 → 152

prune860.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.2b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
4.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
48×	`log-prod`
47×	`*-un-lft-identity`
43×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
13×	`unpow-prod-down`
10×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp` `pow-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `associate-r/` `rem-log-exp` `associate-l/` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt y)
53.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt y)
217.0ms	(cbrt y)
356.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
82.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify45.0ms

Counts: 124 → 124

prune797.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

23.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify66.0ms

Counts: 15 → 15

prune45.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify31.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	6598×	body	80	valid
723.0ms	797×	body	1280	valid
377.0ms	899×	body	640	valid
179.0ms	3013×	body	80	nan
154.0ms	544×	body	320	valid
57.0ms	281×	body	160	valid