Details

sample220.0ms

Algorithm

intervals

Results

61.0ms	46×	body	1280	valid
35.0ms	37×	body	10240	exit
33.0ms	62×	body	640	valid
13.0ms	110×	body	80	valid
10.0ms	25×	body	320	valid
7.0ms	80×	body	80	nan
6.0ms	14×	body	640	nan
5.0ms	1×	body	2560	valid
3.0ms	14×	body	160	valid
2.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
1.0ms	4×	body	160	nan

simplify4.0s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize38.0ms

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))

rewrite17.0ms

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:

12.0ms	(/ (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))

series459.0ms

Counts

3 → 9

Calls

3 calls:

281.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
101.0ms	(log (fma y (exp z) (- 1.0 y)))
77.0ms	(fma y (exp z) (- 1.0 y))

simplify802.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1277
1	338
0	149

prune586.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize38.0ms

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)

rewrite93.0ms

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:

34.0ms	(* (* y z) z)
1.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
22.0ms	(* (/ z t) y)
32.0ms	(/ (* (* y z) z) t)

series303.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* y z) z)
157.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
40.0ms	(* (/ z t) y)
53.0ms	(/ (* (* y z) z) t)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2596
1	358
0	143

prune737.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize35.0ms

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)

rewrite62.0ms

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:

25.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (/ (* y z) t) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
11.0ms	(/ (* y z) t)
24.0ms	(/ (* (* y z) z) t)

series262.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* y z) z)
169.0ms	(fma 1.0 (/ (* y z) t) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
27.0ms	(/ (* y z) t)
36.0ms	(/ (* (* y z) z) t)

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2260
1	295
0	118

prune767.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

localize47.0ms

Local error

Found 4 expressions with local error:

4.0b	(fma 1.0 (* (/ z t) y) (fma (/ (cbrt (* (pow (* y z) 3) (pow z 3))) t) 0.5 (/ (log 1.0) t)))
4.7b	(* (/ z t) y)
7.3b	(/ (cbrt (* (pow (* y z) 3) (pow z 3))) t)
21.4b	(cbrt (* (pow (* y z) 3) (pow z 3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

0.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (cbrt (* (pow (* y z) 3) (pow z 3))) t) 0.5 (/ (log 1.0) t)))
12.0ms	(* (/ z t) y)
9.0ms	(/ (cbrt (* (pow (* y z) 3) (pow z 3))) t)
7.0ms	(cbrt (* (pow (* y z) 3) (pow z 3)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (cbrt (* (pow (* y z) 3) (pow z 3))) t) 0.5 (/ (log 1.0) t)))
39.0ms	(* (/ z t) y)
93.0ms	(/ (cbrt (* (pow (* y z) 3) (pow z 3))) t)
63.0ms	(cbrt (* (pow (* y z) 3) (pow z 3)))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1669
1	349
0	161

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.9b

regimes1.1s

Accuracy

71.9% (5.1b remaining)

Error of 8.9b against oracle of 3.8b and baseline of 22.0b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	38
1	38
0	33

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.4s	1538×	body	10240	exit
1.3s	1461×	body	1280	valid
912.0ms	1587×	body	640	valid
456.0ms	3462×	body	80	valid
276.0ms	913×	body	320	valid
252.0ms	2528×	body	80	nan
192.0ms	104×	body	2560	valid
140.0ms	500×	body	160	valid
96.0ms	286×	body	640	nan
95.0ms	218×	body	320	nan
58.0ms	114×	body	1280	nan
14.0ms	95×	body	160	nan