Details

sample199.0ms

Algorithm

intervals

Results

68.0ms	65×	body	10240	exit
44.0ms	50×	body	1280	valid
20.0ms	48×	body	640	valid
11.0ms	121×	body	80	valid
9.0ms	25×	body	320	valid
6.0ms	86×	body	80	nan
3.0ms	2×	body	2560	valid
2.0ms	7×	body	640	nan
2.0ms	12×	body	160	valid
1.0ms	7×	body	320	nan
0.0ms	4×	body	160	nan
0.0ms	1×	body	1280	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	35	12
3	53	12
4	84	12
5	224	12
6	925	12
7	4874	12
done	5000	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (fma (exp z) y (- 1.0 y))) t))
0.0b	(/ (log (fma (exp z) y (- 1.0 y))) t)
1.8b	(log (fma (exp z) y (- 1.0 y)))
3.8b	(fma (exp z) y (- 1.0 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
49×	`times-frac`
48×	`prod-diff`
18×	`pow1`
14×	`log-pow`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`log-prod` `fma-neg` `associate-/r*`
2×	`difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `flip--` `fma-udef` `distribute-lft-out--`

Counts

4 → 125

Calls

4 calls:

15.0ms	(- x (/ (log (fma (exp z) y (- 1.0 y))) t))
7.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
2.0ms	(log (fma (exp z) y (- 1.0 y)))
0.0ms	(fma (exp z) y (- 1.0 y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- x (/ (log (fma (exp z) y (- 1.0 y))) t))
137.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
81.0ms	(log (fma (exp z) y (- 1.0 y)))
71.0ms	(fma (exp z) y (- 1.0 y))

simplify2.3s

Counts

137 → 137

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	267	5021
1	650	4528
2	2692	3300
done	5001	2550

prune450.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 1 expressions with local error:

5.3b	(/ (* z y) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

10.0ms

(/ (* z y) t)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(/ (* z y) t)

simplify804.0ms

Counts

26 → 26

Iterations

Useful iterations: done (803.0ms)

Iter	Nodes	Cost
0	50	198
1	120	191
2	633	167
done	5001	161

prune128.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.1b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
57.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

series982.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt t)
303.0ms	(cbrt t)
292.0ms	(cbrt t)
76.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

simplify1.9s

Counts

112 → 112

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	144	1257
1	456	1207
2	3004	913
done	5000	847

prune605.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.1b	(* (/ z (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ y (cbrt t)))

rewrite563.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
30×	`add-sqr-sqrt` `add-cbrt-cube`
23×	`times-frac`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `prod-exp` `cbrt-unprod`
19×	`cbrt-prod`
13×	`cbrt-undiv` `div-exp`
7×	`associate-l`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 105

Calls

4 calls:

3.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)
548.0ms	(* (/ z (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ y (cbrt t)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt t)
293.0ms	(cbrt t)
303.0ms	(cbrt t)
77.0ms	(* (/ z (* (cbrt t) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t))))) (/ y (cbrt t)))

simplify2.4s

Counts

117 → 117

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	171	2121
1	551	2051
2	3607	1319
done	5001	788

prune529.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 4.5b

regimes739.0ms

Accuracy

63.6% (4.8b remaining)

Error of 8.7b against oracle of 3.9b and baseline of 17.0b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	48
1	34	48
done	34	48

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.1s	1518×	body	10240	exit
1.9s	1463×	body	1280	valid
772.0ms	1549×	body	640	valid
535.0ms	3512×	body	80	valid
291.0ms	906×	body	320	valid
268.0ms	2464×	body	80	nan
161.0ms	80×	body	2560	valid
135.0ms	512×	body	160	valid
93.0ms	263×	body	640	nan
88.0ms	119×	body	1280	nan
49.0ms	207×	body	320	nan
17.0ms	111×	body	160	nan