Details

sample187.0ms

Algorithm

intervals

Results

48.0ms	62×	body	640	valid
39.0ms	48×	body	1280	valid
37.0ms	41×	body	10240	exit
11.0ms	109×	body	80	valid
6.0ms	21×	body	320	valid
5.0ms	72×	body	80	nan
4.0ms	10×	body	640	nan
3.0ms	16×	body	160	valid
2.0ms	1×	body	2560	valid
1.0ms	2×	body	1280	nan
1.0ms	2×	body	320	nan
0.0ms	3×	body	160	nan

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.5b

localize28.0ms

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)
2.5b	(log (fma (exp z) y (- 1.0 y)))
2.7b	(fma (exp z) y (- 1.0 y))

rewrite34.0ms

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:

16.0ms	(- x (/ (log (fma (exp z) y (- 1.0 y))) t))
9.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
3.0ms	(log (fma (exp z) y (- 1.0 y)))
1.0ms	(fma (exp z) y (- 1.0 y))

series435.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- x (/ (log (fma (exp z) y (- 1.0 y))) t))
215.0ms	(/ (log (fma (exp z) y (- 1.0 y))) t)
73.0ms	(log (fma (exp z) y (- 1.0 y)))
57.0ms	(fma (exp z) y (- 1.0 y))

simplify2.5s

Counts

137 → 137

Iterations

Useful iterations: done (2.5s)

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

prune577.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (* z y) t)

rewrite22.0ms

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:

20.0ms

(/ (* z y) t)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(/ (* z y) t)

simplify749.0ms

Counts

26 → 26

Iterations

Useful iterations: done (748.0ms)

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

prune153.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 1 expressions with local error:

4.5b	(* (* z y) (/ 1 t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
13×	`associate-r` `add-cbrt-cube`
12×	`prod-exp`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp`
1×	`expm1-log1p-u` `associate-r/` `associate-l` `un-div-inv` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

25.0ms

(* (* z y) (/ 1 t))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (* z y) (/ 1 t))

simplify2.1s

Counts

43 → 43

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	85	427
1	251	365
2	1682	262
done	5000	250

prune237.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 4.3b

localize43.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* z y) t)
22.8b	(cbrt (/ (* z y) t))
22.8b	(cbrt (/ (* z y) t))
22.8b	(cbrt (/ (* z y) t))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

20.0ms	(/ (* z y) t)
8.0ms	(cbrt (/ (* z y) t))
7.0ms	(cbrt (/ (* z y) t))
8.0ms	(cbrt (/ (* z y) t))

series417.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* z y) t)
138.0ms	(cbrt (/ (* z y) t))
132.0ms	(cbrt (/ (* z y) t))
123.0ms	(cbrt (/ (* z y) t))

simplify824.0ms

Counts

89 → 89

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	94	858
1	193	827
2	814	749
done	5001	716

prune781.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.3b

regimes687.0ms

Accuracy

64.4% (4.5b remaining)

Error of 8.5b against oracle of 3.9b and baseline of 16.7b

bsearch254.0ms

Steps

Iters	Range		Point
8	1.297360452734225e-62	4.8011421741856184e-60	8.257479803818376e-61
8	-1.136111738072016e+18	-1976259405078886.5	-1996524655068977.8

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	65
1	37	65
done	37	65

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.1s	1532×	body	10240	exit
1.2s	1440×	body	1280	valid
906.0ms	1646×	body	640	valid
506.0ms	195×	body	320	nan
457.0ms	3510×	body	80	valid
441.0ms	906×	body	320	valid
258.0ms	2475×	body	80	nan
179.0ms	67×	body	2560	valid
145.0ms	462×	body	160	valid
97.0ms	97×	body	1280	nan
92.0ms	256×	body	640	nan
18.0ms	111×	body	160	nan