Details

sample151.0ms

Algorithm

intervals

Results

41.0ms	784×	body	80	nan
21.0ms	14×	body	160	valid
12.0ms	37×	body	640	valid
11.0ms	14×	body	1280	valid
10.0ms	173×	body	80	valid
4.0ms	21×	body	320	valid

simplify1.4s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
0.3b	(* (log y) x)
6.8b	(log (- 1.0 y))

rewrite18.0ms

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)
6.0ms	(* (log y) x)
5.0ms	(log (- 1.0 y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
65.0ms	(* (log y) x)
46.0ms	(log (- 1.0 y))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1310
1	390
0	173

prune473.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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)) t)
0.3b	(* (log y) x)
0.3b	(* (/ 1.0 y) (/ 1.0 y))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

9.0ms	(- (fma z (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) x)) t)
11.0ms	(* (log y) x)
25.0ms	(* (/ 1.0 y) (/ 1.0 y))
27.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series369.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(- (fma z (- (log 1.0) (fma 1.0 y (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))))) (* (log y) x)) t)
76.0ms	(* (log y) x)
36.0ms	(* (/ 1.0 y) (/ 1.0 y))
43.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.3s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	4006
1	757
0	262

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
11.0ms	(* (cbrt (log y)) (cbrt (log y)))
18.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

320.0ms	(cbrt (log y))
285.0ms	(cbrt (log y))
393.0ms	(* (cbrt (log y)) (cbrt (log y)))
42.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.2s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	1554
1	344
0	135

prune858.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (* (log y) (log y)))
0.5b	(* (log y) (log y))
0.7b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`cbrt-undiv` `div-exp`
7×	`log-pow`
6×	`log-prod` `swap-sqr`
5×	`cbrt-prod` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/r/` `associate-/l*`
2×	`pow1/3`
1×	`pow2` `frac-times` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (log y))
3.0ms	(cbrt (* (log y) (log y)))
8.0ms	(* (log y) (log y))
27.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series965.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt (log y))
377.0ms	(cbrt (* (log y) (log y)))
194.0ms	(* (log y) (log y))
36.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify1.7s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2299
1	392
0	152

prune646.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes521.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	23

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.7s	23912×	body	80	nan
701.0ms	5501×	body	80	valid
455.0ms	494×	body	160	valid
392.0ms	875×	body	640	valid
355.0ms	407×	body	1280	valid
208.0ms	762×	body	320	valid