Details

sample115.0ms

Algorithm

intervals

Results

31.0ms	64×	body	10240	exit
27.0ms	51×	body	1280	valid
16.0ms	51×	body	640	valid
6.0ms	110×	body	80	valid
6.0ms	4×	body	2560	valid
5.0ms	28×	body	320	valid
3.0ms	95×	body	80	nan
1.0ms	7×	body	640	nan
1.0ms	12×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	2×	body	160	nan

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	20	13
2	33	13
3	47	13
4	67	13
5	89	13
6	113	13
7	156	13
8	252	13
9	381	13
10	475	13
11	572	13
12	837	13
13	3049	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.5b	(+ (- 1.0 y) (* y (exp z)))
2.4b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite51.0ms

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:

5.0ms	(* y (exp z))
22.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
155.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
38.0ms	(+ (- 1.0 y) (* y (exp z)))
78.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify648.0ms

Counts

92 → 92

Iterations

Useful iterations: done (645.0ms)

Iter	Nodes	Cost
0	203	1436
1	449	1388
2	1477	1269
done	5000	1268

prune297.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ 1.0 (* y (- (exp z) 1)))) t))
0.0b	(/ (log (+ 1.0 (* y (- (exp z) 1)))) t)
2.4b	(log (+ 1.0 (* y (- (exp z) 1))))
2.8b	(- (exp z) 1)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
8×	`add-log-exp`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`div-sub` `associate-/l*` `difference-of-squares`
3×	`log-prod` `flip3-+` `associate-/r*` `flip-+`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate--r-`
1×	`cbrt-undiv` `frac-2neg` `difference-of-sqr-1` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 80

Calls

4 calls:

7.0ms	(- x (/ (log (+ 1.0 (* y (- (exp z) 1)))) t))
6.0ms	(/ (log (+ 1.0 (* y (- (exp z) 1)))) t)
2.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
4.0ms	(- (exp z) 1)

series325.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- x (/ (log (+ 1.0 (* y (- (exp z) 1)))) t))
158.0ms	(/ (log (+ 1.0 (* y (- (exp z) 1)))) t)
76.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
14.0ms	(- (exp z) 1)

simplify613.0ms

Counts

92 → 92

Iterations

Useful iterations: done (610.0ms)

Iter	Nodes	Cost
0	218	1636
1	481	1544
2	1632	1446
done	5000	1445

prune285.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ t (log (+ 1.0 (* y (- (exp z) 1))))))
0.1b	(/ t (log (+ 1.0 (* y (- (exp z) 1)))))
2.4b	(log (+ 1.0 (* y (- (exp z) 1))))
2.8b	(- (exp z) 1)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
67×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
63×	`add-cube-cbrt`
22×	`pow1`
20×	`associate-/r*`
18×	`add-exp-log`
17×	`log-pow`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`log-prod`
2×	`log-div` `rec-exp` `frac-2neg` `1-exp` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `difference-of-sqr-1` `rem-log-exp` `associate-/r/` `flip--` `flip-+` `distribute-lft-out--` `inv-pow`

Counts

4 → 149

Calls

4 calls:

6.0ms	(/ 1 (/ t (log (+ 1.0 (* y (- (exp z) 1))))))
2.0ms	(/ t (log (+ 1.0 (* y (- (exp z) 1)))))
2.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
4.0ms	(- (exp z) 1)

series367.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (/ t (log (+ 1.0 (* y (- (exp z) 1))))))
201.0ms	(/ t (log (+ 1.0 (* y (- (exp z) 1)))))
73.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
17.0ms	(- (exp z) 1)

simplify875.0ms

Counts

161 → 161

Iterations

Useful iterations: 2 (308.0ms)

Iter	Nodes	Cost
0	300	3325
1	701	3013
2	2414	2729
done	5000	2729

prune377.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (+ 1.0 (* y (- (exp z) 1))))
2.8b	(- (exp z) 1)
2.8b	(- (exp z) 1)
2.8b	(- (exp z) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
4.0ms	(- (exp z) 1)
4.0ms	(- (exp z) 1)
4.0ms	(- (exp z) 1)

series119.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(log (+ 1.0 (* y (- (exp z) 1))))
14.0ms	(- (exp z) 1)
13.0ms	(- (exp z) 1)
14.0ms	(- (exp z) 1)

simplify1.9s

Counts

74 → 74

Iterations

Useful iterations: 3 (712.0ms)

Iter	Nodes	Cost
0	110	781
1	255	713
2	891	661
3	3812	651
done	5001	651

prune263.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

regimes429.0ms

Accuracy

55.8% (4.5b remaining)

Error of 8.9b against oracle of 4.4b and baseline of 14.5b

bsearch68.0ms

Steps

Iters	Range		Point
9	-3.3650335876136737e+31	-3.0563469276612825e+22	-3.1117629263050896e+22

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	31
1	30	31
done	30	31

end0.0ms

sample3.1s

Algorithm

intervals

Results

746.0ms	1440×	body	1280	valid
745.0ms	1552×	body	10240	exit
456.0ms	1581×	body	640	valid
209.0ms	3486×	body	80	valid
171.0ms	946×	body	320	valid
134.0ms	106×	body	2560	valid
88.0ms	2566×	body	80	nan
53.0ms	268×	body	640	nan
52.0ms	459×	body	160	valid
32.0ms	111×	body	1280	nan
30.0ms	203×	body	320	nan
10.0ms	121×	body	160	nan