Details

sample241.0ms

Algorithm

intervals

Results

87.0ms	756×	body	80	nan
33.0ms	13×	body	1280	valid
24.0ms	186×	body	80	valid
14.0ms	22×	body	640	valid
7.0ms	17×	body	320	valid
5.0ms	18×	body	160	valid

simplify17.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2958
6	1333
5	643
4	310
3	130
2	57
1	27
0	14

prune71.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize293.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0)))
0.0b	(- (fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0))) t)
0.1b	(* (log y) (- x 1.0))
6.6b	(log (- 1.0 y))

rewrite141.0ms

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:

1.0ms	(fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0)))
32.0ms	(- (fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0))) t)
64.0ms	(* (log y) (- x 1.0))
30.0ms	(log (- 1.0 y))

series2.0s

Counts

4 → 12

Calls

4 calls:

289.0ms	(fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0)))
806.0ms	(- (fma (- z 1.0) (log (- 1.0 y)) (* (log y) (- x 1.0))) t)
472.0ms	(* (log y) (- x 1.0))
442.0ms	(log (- 1.0 y))

simplify9.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
3	4820
2	1542
1	616
0	259

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- z 1.0) (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) (- x 1.0)))
0.1b	(* (log y) (- x 1.0))
0.2b	(* (/ 1.0 y) (/ 1.0 y))
0.6b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
43×	`times-frac`
36×	`add-exp-log` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `log-pow` `pow-prod-up` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 158

Calls

4 calls:

1.0ms	(fma (- z 1.0) (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) (- x 1.0)))
42.0ms	(* (log y) (- x 1.0))
55.0ms	(* (/ 1.0 y) (/ 1.0 y))
26.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

358.0ms	(fma (- z 1.0) (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) (- x 1.0)))
663.0ms	(* (log y) (- x 1.0))
187.0ms	(* (/ 1.0 y) (/ 1.0 y))
70.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify5.8s

Counts

170 → 170

Iterations

Iter	Nodes
done	5004
2	2571
1	821
0	290

prune3.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize221.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.6b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt (log y))
2.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
24.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series2.0s

Counts

4 → 12

Calls

4 calls:

552.0ms	(cbrt (log y))
894.0ms	(cbrt (log y))
525.0ms	(cbrt (log y))
46.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify5.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5061
3	4682
2	849
1	236
0	99

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize123.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (log y) (- x 1.0)))
0.5b	(cbrt (* (log y) (- x 1.0)))
0.5b	(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))
0.6b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`associate-*r/`
16×	`cbrt-div`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`flip3--` `pow1/3` `flip--`
6×	`cbrt-prod`
5×	`frac-times` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-l/` `associate-/r/` `associate-/l`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

15.0ms	(cbrt (* (log y) (- x 1.0)))
15.0ms	(cbrt (* (log y) (- x 1.0)))
263.0ms	(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))
33.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (* (log y) (- x 1.0)))
269.0ms	(cbrt (* (log y) (- x 1.0)))
543.0ms	(* (cbrt (* (log y) (- x 1.0))) (cbrt (* (log y) (- x 1.0))))
54.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify8.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	3954
1	971
0	322

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes1.4s

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	23
1	23
0	21

end0.0ms

sample28.0s

Algorithm

intervals

Results

16.9s	23973×	body	80	nan
3.9s	5823×	body	80	valid
2.2s	778×	body	640	valid
1.9s	672×	body	320	valid
690.0ms	289×	body	1280	valid
248.0ms	479×	body	160	valid