Details

sample168.0ms

Algorithm

intervals

Results

59.0ms	849×	body	80	nan
22.0ms	16×	body	1280	valid
14.0ms	174×	body	80	valid
13.0ms	31×	body	640	valid
5.0ms	21×	body	320	valid
2.0ms	15×	body	160	valid

simplify854.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	769
7	237
6	112
5	77
4	60
3	52
2	38
1	22
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
0.2b	(* (log y) x)
4.7b	(log (- 1.0 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`prod-diff`
7×	`pow1`
6×	`add-exp-log`
5×	`log-prod` `add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`log-div` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

5.0ms	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
7.0ms	(* (log y) x)
7.0ms	(log (- 1.0 y))

series257.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
86.0ms	(* (log y) x)
48.0ms	(log (- 1.0 y))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1310
1	390
0	173

prune575.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) x))
0.2b	(* (log y) x)
0.2b	(* (/ 1.0 y) (/ 1.0 y))
0.8b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
43×	`times-frac`
36×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
17×	`associate-l`
16×	`associate-r`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
9×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-sqr` `log-pow` `pow-prod-up` `fma-udef`

Counts

4 → 132

Calls

4 calls:

0.0ms	(fma z (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) x))
6.0ms	(* (log y) x)
33.0ms	(* (/ 1.0 y) (/ 1.0 y))
18.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(fma z (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) x))
90.0ms	(* (log y) x)
35.0ms	(* (/ 1.0 y) (/ 1.0 y))
35.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.3s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
2	3714
1	662
0	221

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (log y) x))
0.5b	(cbrt (* (log y) x))
0.5b	(cbrt (* (log y) x))
0.8b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 65

Calls

4 calls:

3.0ms	(cbrt (* (log y) x))
3.0ms	(cbrt (* (log y) x))
3.0ms	(cbrt (* (log y) x))
22.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (* (log y) x))
157.0ms	(cbrt (* (log y) x))
145.0ms	(cbrt (* (log y) x))
35.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.0s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1064
1	272
0	115

prune706.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.8b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
15.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series732.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt x)
233.0ms	(cbrt x)
225.0ms	(cbrt x)
36.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1060
1	239
0	98

prune509.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes425.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	19

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.2s	23794×	body	80	nan
1.1s	914×	body	640	valid
475.0ms	5478×	body	80	valid
356.0ms	418×	body	1280	valid
231.0ms	754×	body	320	valid
73.0ms	466×	body	160	valid