Details

sample73.0ms

Algorithm

intervals

Results

16.0ms	27×	body	1280	valid
15.0ms	207×	body	80	valid
11.0ms	30×	body	640	valid
6.0ms	24×	body	320	valid
5.0ms	96×	body	80	nan
1.0ms	9×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
5.6b	(log (/ y (+ z y)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r` `associate-r*` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

17.0ms	(/ y (+ z y))
112.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
23.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ y (+ z y))
143.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
126.0ms	(* y (log (/ y (+ z y))))
70.0ms	(log (/ y (+ z y)))

simplify2.9s

Counts

141 → 141

Iterations

Iter	Nodes
done	5005
3	4795
2	1051
1	449
0	199

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
138×	`cbrt-prod`
126×	`times-frac`
122×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
7×	`pow1`
6×	`cbrt-div` `rem-log-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`
1×	`pow1/3`

Counts

4 → 188

Calls

4 calls:

1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series706.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt y)
130.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
127.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
165.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.8s

Counts

200 → 200

Iterations

Iter	Nodes
done	5017
4	4066
3	1461
2	546
1	318
0	173

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

24.0ms	(+ x (/ (exp (- z)) y))
16.0ms	(/ (exp (- z)) y)

series87.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (/ (exp (- z)) y))
38.0ms	(/ (exp (- z)) y)

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5012
3	1855
2	569
1	192
0	85

prune267.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (- z)) y)
0.2b	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
0.5b	(sqrt (/ (exp (- z)) y))
0.5b	(sqrt (/ (exp (- z)) y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube`
7×	`add-exp-log` `div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`rem-sqrt-square` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
2×	`associate-/l/`
1×	`pow2` `neg-sub0` `exp-neg` `frac-times` `cbrt-undiv` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `exp-diff` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 166

Calls

4 calls:

10.0ms	(/ (exp (- z)) y)
67.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
8.0ms	(sqrt (/ (exp (- z)) y))
11.0ms	(sqrt (/ (exp (- z)) y))

series308.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (exp (- z)) y)
72.0ms	(* (sqrt (/ (exp (- z)) y)) (sqrt (/ (exp (- z)) y)))
81.0ms	(sqrt (/ (exp (- z)) y))
101.0ms	(sqrt (/ (exp (- z)) y))

simplify4.0s

Counts

178 → 178

Iterations

Iter	Nodes
done	5001
3	4297
2	1221
1	426
0	209

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.1s

Algorithm

intervals

Results

765.0ms	765×	body	1280	valid
687.0ms	964×	body	640	valid
571.0ms	6568×	body	80	valid
257.0ms	3063×	body	80	nan
225.0ms	539×	body	320	valid
59.0ms	313×	body	160	valid