Details

sample135.0ms

Algorithm

intervals

Results

30.0ms	48×	body	1280	valid
23.0ms	36×	body	10240	exit
22.0ms	56×	body	640	valid
9.0ms	115×	body	80	valid
6.0ms	23×	body	320	valid
4.0ms	69×	body	80	nan
3.0ms	2×	body	2560	valid
2.0ms	14×	body	160	valid
2.0ms	7×	body	640	nan
1.0ms	3×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	1×	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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (log (fma y (exp z) (- 1.0 y))) t)
2.4b	(log (fma y (exp z) (- 1.0 y)))
2.9b	(fma y (exp z) (- 1.0 y))

rewrite8.0ms

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:

6.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
1.0ms	(log (fma y (exp z) (- 1.0 y)))
0.0ms	(fma y (exp z) (- 1.0 y))

series734.0ms

Counts

3 → 9

Calls

3 calls:

236.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
448.0ms	(log (fma y (exp z) (- 1.0 y)))
50.0ms	(fma y (exp z) (- 1.0 y))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1277
1	338
0	149

prune481.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
3.0b	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
4.0b	(* (/ z t) y)
5.4b	(/ (* (* y z) z) t)

rewrite63.0ms

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:

24.0ms	(* (* y z) z)
0.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
12.0ms	(* (/ z t) y)
22.0ms	(/ (* (* y z) z) t)

series234.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* y z) z)
139.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
29.0ms	(* (/ z t) y)
31.0ms	(/ (* (* y z) z) t)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2596
1	358
0	143

prune891.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.9b

localize100.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
3.0b	(fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
5.4b	(/ (* (* y z) z) t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
24.0ms	(/ (* (* y z) z) t)

series724.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt t)
249.0ms	(cbrt t)
162.0ms	(fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
44.0ms	(/ (* (* y z) z) t)

simplify946.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1690
1	270
0	111

prune729.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.9b

localize276.0ms

Local error

Found 4 expressions with local error:

5.4b	(/ (* (* y z) z) t)
21.9b	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
21.9b	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
21.9b	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

16.0ms	(/ (* (* y z) z) t)
1.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
1.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
1.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))

series1.6s

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* (* y z) z) t)
529.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
448.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))
521.0ms	(cbrt (fma 1.0 (* (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))) (* (/ (cbrt z) (cbrt t)) y)) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t))))

simplify1.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1889
1	370
0	151

prune764.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.9b

regimes793.0ms

Accuracy

72.6% (4.3b remaining)

Error of 8.1b against oracle of 3.8b and baseline of 19.5b

bsearch2.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	44
1	44
0	38

end0.0ms

sample7.1s

Algorithm

intervals

Results

1.6s	1620×	body	10240	exit
1.4s	1534×	body	640	valid
1.3s	1456×	body	1280	valid
554.0ms	2554×	body	80	nan
536.0ms	3534×	body	80	valid
288.0ms	941×	body	320	valid
158.0ms	85×	body	2560	valid
134.0ms	276×	body	640	nan
126.0ms	476×	body	160	valid
54.0ms	103×	body	1280	nan
44.0ms	168×	body	320	nan
17.0ms	110×	body	160	nan