Details

sample189.0ms

Algorithm

intervals

Results

53.0ms	56×	body	1280	valid
30.0ms	36×	body	10240	exit
29.0ms	58×	body	640	valid
26.0ms	107×	body	80	valid
6.0ms	18×	body	320	valid
6.0ms	86×	body	80	nan
3.0ms	16×	body	160	valid
3.0ms	1×	body	2560	valid
3.0ms	9×	body	640	nan
2.0ms	5×	body	1280	nan
1.0ms	7×	body	320	nan
0.0ms	1×	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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (log (fma y (exp z) (- 1.0 y))) t)
1.0b	(log (fma y (exp z) (- 1.0 y)))
2.7b	(fma y (exp z) (- 1.0 y))

rewrite9.0ms

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))

series387.0ms

Counts

3 → 9

Calls

3 calls:

245.0ms	(/ (log (fma y (exp z) (- 1.0 y))) t)
88.0ms	(log (fma y (exp z) (- 1.0 y)))
54.0ms	(fma y (exp z) (- 1.0 y))

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1277
1	338
0	149

prune484.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
4.0b	(* (/ z t) y)
5.6b	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
8.9b	(/ (* (* y z) z) t)

rewrite47.0ms

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:

13.0ms	(* (* y z) z)
11.0ms	(* (/ z t) y)
1.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
20.0ms	(/ (* (* y z) z) t)

series221.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* y z) z)
33.0ms	(* (/ z t) y)
116.0ms	(fma 1.0 (* (/ z t) y) (fma (/ (* (* y z) z) t) 0.5 (/ (log 1.0) t)))
33.0ms	(/ (* (* y z) z) t)

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2586
1	358
0	143

prune789.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize56.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (* (* y z) z) t)
20.4b	(cbrt (* (/ z t) y))
20.4b	(cbrt (* (/ z t) y))
20.4b	(cbrt (* (/ z t) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

18.0ms	(/ (* (* y z) z) t)
5.0ms	(cbrt (* (/ z t) y))
5.0ms	(cbrt (* (/ z t) y))
5.0ms	(cbrt (* (/ z t) y))

series406.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* (* y z) z) t)
104.0ms	(cbrt (* (/ z t) y))
141.0ms	(cbrt (* (/ z t) y))
117.0ms	(cbrt (* (/ z t) y))

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1453
1	247
0	106

prune687.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y z) z)
5.6b	(fma (/ (* y z) t) 1.0 (/ (* (* (* y z) z) 0.5) t))
5.8b	(/ (* y z) t)
8.9b	(/ (* (* (* y z) z) 0.5) t)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-cbrt-cube` `add-exp-log`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-undiv` `associate-/r*` `times-frac` `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 → 80

Calls

4 calls:

25.0ms	(* (* y z) z)
1.0ms	(fma (/ (* y z) t) 1.0 (/ (* (* (* y z) z) 0.5) t))
15.0ms	(/ (* y z) t)
70.0ms	(/ (* (* (* y z) z) 0.5) t)

series260.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* y z) z)
115.0ms	(fma (/ (* y z) t) 1.0 (/ (* (* (* y z) z) 0.5) t))
30.0ms	(/ (* y z) t)
80.0ms	(/ (* (* (* y z) z) 0.5) t)

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2842
1	363
0	136

prune555.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.0b

regimes936.0ms

Accuracy

68.2% (5.1b remaining)

Error of 9.0b against oracle of 3.9b and baseline of 19.9b

bsearch158.0ms

Steps

Iters	Range		Point
9	-0.00027856517442265854	-8.494187639829394e-13	-1.6180245487047662e-12

simplify12.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample6.7s

Algorithm

intervals

Results

1.8s	1407×	body	1280	valid
1.5s	1507×	body	10240	exit
944.0ms	1629×	body	640	valid
645.0ms	2488×	body	80	nan
397.0ms	3570×	body	80	valid
342.0ms	894×	body	320	valid
162.0ms	81×	body	2560	valid
130.0ms	445×	body	160	valid
98.0ms	279×	body	640	nan
52.0ms	108×	body	1280	nan
40.0ms	176×	body	320	nan
16.0ms	108×	body	160	nan