Details

sample88.0ms

Algorithm

intervals

Results

19.0ms	219×	body	80	valid
15.0ms	35×	body	640	valid
15.0ms	22×	body	1280	valid
5.0ms	18×	body	320	valid
5.0ms	84×	body	80	nan
3.0ms	15×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize12.0ms

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))))
7.5b	(log (/ y (+ z y)))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
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 → 140

Calls

4 calls:

11.0ms	(/ y (+ z y))
83.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
26.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (+ z y))
78.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
84.0ms	(* y (log (/ y (+ z y))))
55.0ms	(log (/ y (+ z y)))

simplify1.4s

Counts

152 → 152

Iterations

Useful iterations: 3 (769.0ms)

Iter	Nodes	Cost
0	207	1965
1	396	1858
2	919	1711
3	2404	1662
done	5000	1662

prune487.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))))

rewrite33.0ms

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×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

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

series646.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt y)
219.0ms	(cbrt y)
81.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
94.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.1s

Counts

160 → 160

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	177	2306
1	320	2146
2	578	2060
3	1128	1986
4	2493	1982
done	5002	1976

prune880.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

26.0ms	(/ (exp (- z)) y)
38.0ms	(+ (/ (exp (- z)) y) x)

series99.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (exp (- z)) y)
64.0ms	(+ (/ (exp (- z)) y) x)

simplify2.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (361.0ms)

Iter	Nodes	Cost
0	91	509
1	188	484
2	475	452
3	1208	449
done	5000	449

prune166.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite27.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

611.0ms	(* (cbrt y) (cbrt y))
222.0ms	(cbrt y)
234.0ms	(cbrt y)
285.0ms	(cbrt y)

simplify4.7s

Counts

93 → 93

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes86.0ms

Accuracy

42.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.0b

bsearch74.0ms

Steps

Iters	Range		Point
5	-1.1168504929064998e+61	-3.9318667429202374e+60	-6.136891625635505e+60

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	51
1	32	51
done	32	51

end0.0ms

sample3.5s

Algorithm

intervals

Results

715.0ms	6541×	body	80	valid
689.0ms	747×	body	1280	valid
622.0ms	564×	body	320	valid
533.0ms	992×	body	640	valid
227.0ms	3054×	body	80	nan
59.0ms	314×	body	160	valid