Details

sample104.0ms

Algorithm

intervals

Results

29.0ms	58×	body	1280	valid
22.0ms	46×	body	10240	exit
15.0ms	53×	body	640	valid
6.0ms	111×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	63×	body	80	nan
2.0ms	10×	body	640	nan
2.0ms	2×	body	2560	valid
2.0ms	16×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify304.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	48	13
4	66	13
5	78	13
6	100	13
7	126	13
8	150	13
9	203	13
10	284	13
11	290	13
done	290	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(+ (- 1.0 y) (* y (exp z)))
3.1b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

11.0ms	(* y (exp z))
52.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
27.0ms	(+ (- 1.0 y) (* y (exp z)))
22.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (exp z))
168.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
41.0ms	(+ (- 1.0 y) (* y (exp z)))
81.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify2.0s

Counts

92 → 92

Iterations

Useful iterations: 3 (731.0ms)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1238	1271
3	3810	1268
done	5000	1268

prune275.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1 (exp z)))
0.0b	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
2.8b	(log (- 1.0 (* y (- 1 (exp z)))))
3.0b	(- 1 (exp z))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-r` `add-log-exp`
5×	`log-pow`
4×	`log-div` `flip3--` `flip--` `associate-/l*` `difference-of-squares`
3×	`sub-neg` `log-prod` `associate-l` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `associate-*r/` `distribute-lft-out--`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

30.0ms	(* y (- 1 (exp z)))
14.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
7.0ms	(- 1 (exp z))

series302.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (- 1 (exp z)))
167.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
79.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
14.0ms	(- 1 (exp z))

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	221	1488
1	490	1402
2	1314	1298
3	4103	1288
done	5000	1288

prune273.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.3b

localize14.0ms

Local error

Found 4 expressions with local error:

2.8b	(log (- 1.0 (* y (- 1 (exp z)))))
3.0b	(- 1 (exp z))
3.0b	(- 1 (exp z))
3.0b	(- 1 (exp z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
6×	`difference-of-squares`
5×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `log-prod` `diff-log` `distribute-lft-out--`
2×	`log-div`
1×	`rem-log-exp` `log-pow`

Counts

4 → 59

Calls

4 calls:

4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
11.0ms	(- 1 (exp z))
7.0ms	(- 1 (exp z))
7.0ms	(- 1 (exp z))

series125.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
14.0ms	(- 1 (exp z))
14.0ms	(- 1 (exp z))
14.0ms	(- 1 (exp z))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	111	760
1	259	698
2	690	646
3	2196	638
done	5000	633

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.3b

localize13.0ms

Local error

Found 4 expressions with local error:

2.8b	(log (- 1.0 (* y (- 1 (exp z)))))
2.8b	(log (- 1.0 (* y (- 1 (exp z)))))
3.0b	(- 1 (exp z))
3.0b	(- 1 (exp z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `log-prod`
4×	`log-div` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
7.0ms	(- 1 (exp z))
11.0ms	(- 1 (exp z))

series193.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
83.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
14.0ms	(- 1 (exp z))
15.0ms	(- 1 (exp z))

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	111	940
1	259	880
2	690	796
3	2196	788
done	5000	782

prune263.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.3b

regimes197.0ms

Accuracy

63.9% (3.7b remaining)

Error of 8.3b against oracle of 4.6b and baseline of 14.9b

bsearch36.0ms

Steps

Iters	Range		Point
4	-6.23920627212262e-12	-3.579124916303628e-12	-3.775171204884957e-12

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	41
1	39	41
done	39	41

end0.0ms

sample3.1s

Algorithm

intervals

Results

777.0ms	1504×	body	1280	valid
711.0ms	1478×	body	10240	exit
445.0ms	1581×	body	640	valid
200.0ms	3477×	body	80	valid
158.0ms	892×	body	320	valid
90.0ms	2619×	body	80	nan
88.0ms	70×	body	2560	valid
55.0ms	502×	body	160	valid
46.0ms	251×	body	640	nan
28.0ms	102×	body	1280	nan
25.0ms	202×	body	320	nan
8.0ms	108×	body	160	nan