Details

sample181.0ms

Algorithm

intervals

Results

47.0ms	46×	body	1280	valid
30.0ms	37×	body	10240	exit
28.0ms	62×	body	640	valid
11.0ms	110×	body	80	valid
8.0ms	25×	body	320	valid
6.0ms	80×	body	80	nan
5.0ms	1×	body	2560	valid
5.0ms	14×	body	640	nan
2.0ms	14×	body	160	valid
2.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	4×	body	160	nan

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4914
6	921
5	224
4	84
3	53
2	35
1	20
0	12

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (fma y (exp z) (- 1.0 y))) t)
1.1b	(log (fma y (exp z) (- 1.0 y)))
3.4b	(fma y (exp z) (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`pow1`
6×	`add-exp-log`
5×	`add-cbrt-cube` `log-pow`
4×	`associate-/l*`
3×	`expm1-log1p-u` `log-prod` `associate-/r*` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `fma-udef` `div-inv`

Counts

3 → 57

Calls

3 calls:

11.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
2.0ms	(log (fma y (exp z) (- 1.0 y)))
1.0ms	(fma y (exp z) (- 1.0 y))

series414.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
131.0ms	(log (fma y (exp z) (- 1.0 y)))
59.0ms	(fma y (exp z) (- 1.0 y))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1277
1	338
0	149

prune604.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.0b	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
4.7b	(* (/ z t) y)
7.3b	(/ (* (* y z) z) t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l`
13×	`times-frac`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-l/` `fma-udef` `associate-/l`

Counts

4 → 89

Calls

4 calls:

15.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
11.0ms	(* (/ z t) y)
18.0ms	(/ (* (* y z) z) t)

series248.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* y z) z)
131.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
34.0ms	(* (/ z t) y)
37.0ms	(/ (* (* y z) z) t)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2596
1	358
0	143

prune822.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.0b	(fma 1.0 (/ (* y z) t) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
4.1b	(/ (* y z) t)
7.3b	(/ (* (* y z) z) t)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

20.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (/ (* y z) t) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
14.0ms	(/ (* y z) t)
30.0ms	(/ (* (* y z) z) t)

series265.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* y z) z)
169.0ms	(fma 1.0 (/ (* y z) t) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
25.0ms	(/ (* y z) t)
36.0ms	(/ (* (* y z) z) t)

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2260
1	295
0	118

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.0b	(fma 1.0 (* z (/ y t)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
5.0b	(* z (/ y t))
7.3b	(/ (* (* y z) z) t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`times-frac`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-r/` `fma-udef` `associate-/l`

Counts

4 → 89

Calls

4 calls:

13.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (* z (/ y t)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
11.0ms	(* z (/ y t))
21.0ms	(/ (* (* y z) z) t)

series246.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* y z) z)
138.0ms	(fma 1.0 (* z (/ y t)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
27.0ms	(* z (/ y t))
40.0ms	(/ (* (* y z) z) t)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2512
1	401
0	150

prune716.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

regimes889.0ms

Accuracy

73.5% (4.2b remaining)

Error of 8.1b against oracle of 3.9b and baseline of 19.6b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	34
2	34
1	33
0	27

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.0s	1538×	body	10240	exit
1.4s	1461×	body	1280	valid
1.1s	1587×	body	640	valid
513.0ms	286×	body	640	nan
443.0ms	3462×	body	80	valid
335.0ms	2528×	body	80	nan
335.0ms	913×	body	320	valid
200.0ms	104×	body	2560	valid
169.0ms	500×	body	160	valid
92.0ms	218×	body	320	nan
60.0ms	114×	body	1280	nan
19.0ms	95×	body	160	nan