Details

sample169.0ms

Algorithm

intervals

Results

56.0ms	812×	body	80	nan
38.0ms	27×	body	640	valid
15.0ms	188×	body	80	valid
7.0ms	21×	body	320	valid
5.0ms	5×	body	1280	valid
3.0ms	16×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4417
5	1388
4	401
3	135
2	57
1	27
0	14

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
0.0b	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
0.1b	(* (log y) (- x 1.0))
4.7b	(log (- 1.0 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`log-prod` `associate-r`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `fma-neg` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`log-div` `associate-*r/` `log-pow` `fma-udef`
1×	`diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
9.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
21.0ms	(* (log y) (- x 1.0))
6.0ms	(log (- 1.0 y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0)))
258.0ms	(- (fma (log (- 1.0 y)) (- z 1.0) (* (log y) (- x 1.0))) t)
142.0ms	(* (log y) (- x 1.0))
88.0ms	(log (- 1.0 y))

simplify2.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	2403
1	609
0	257

prune827.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- (log 1.0) (fma y 1.0 (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (- z 1.0) (* (log y) (- x 1.0)))
0.1b	(* (log y) (- x 1.0))
0.2b	(* (/ 1.0 y) (/ 1.0 y))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
43×	`times-frac`
36×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r` `prod-diff`
17×	`associate-l`
14×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`prod-exp` `cbrt-unprod`
5×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `sub-neg` `pow-prod-down` `associate-l/` `-commutative`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `flip3--` `pow-sqr` `log-pow` `pow-prod-up` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

0.0ms	(fma (- (log 1.0) (fma y 1.0 (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (- z 1.0) (* (log y) (- x 1.0)))
20.0ms	(* (log y) (- x 1.0))
25.0ms	(* (/ 1.0 y) (/ 1.0 y))
12.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(fma (- (log 1.0) (fma y 1.0 (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (- z 1.0) (* (log y) (- x 1.0)))
140.0ms	(* (log y) (- x 1.0))
56.0ms	(* (/ 1.0 y) (/ 1.0 y))
49.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify972.0ms

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
1	855
0	290

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `flip3--` `pow1/3` `associate-/r/` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 83

Calls

4 calls:

17.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
6.0ms	(cbrt (- x 1.0))
22.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (- x 1.0))
142.0ms	(cbrt (- x 1.0))
141.0ms	(cbrt (- x 1.0))
49.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1540
1	395
0	159

prune784.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-undiv` `div-exp` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `flip3--` `pow1/3` `associate-/r/` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `div-inv`

Counts

4 → 83

Calls

4 calls:

3.0ms	(cbrt (- x 1.0))
3.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (- x 1.0))
11.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (- x 1.0))
126.0ms	(cbrt (- x 1.0))
122.0ms	(cbrt (- x 1.0))
27.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1540
1	395
0	159

prune868.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes746.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.5s	24301×	body	80	nan
778.0ms	763×	body	640	valid
638.0ms	5868×	body	80	valid
331.0ms	731×	body	320	valid
301.0ms	260×	body	1280	valid
108.0ms	406×	body	160	valid