Details

sample121.0ms

Algorithm

intervals

Results

31.0ms	64×	body	10240	exit
28.0ms	51×	body	1280	valid
16.0ms	51×	body	640	valid
7.0ms	28×	body	320	valid
7.0ms	110×	body	80	valid
6.0ms	4×	body	2560	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

simplify27.6s

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	95	13
6	159	13
7	204	13
8	382	13
9	535	13
10	636	13
11	735	13
12	1049	13
13	3534	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

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

rewrite57.0ms

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:

7.0ms	(* y (exp z))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
14.0ms	(+ (- 1.0 y) (* y (exp z)))
10.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
160.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
38.0ms	(+ (- 1.0 y) (* y (exp z)))
72.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify559.0ms

Counts

92 → 92

Iterations

Useful iterations: done (556.0ms)

Iter	Nodes	Cost
0	203	1436
1	468	1388
2	1684	1269
done	5000	1268

prune301.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`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×	`flip3--` `log-pow` `flip--`
4×	`div-sub` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-/r*`
2×	`sub-neg` `diff-log` `distribute-lft-out--` `associate--r-`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 79

Calls

4 calls:

8.0ms	(- x (/ (log (- 1.0 (* (- 1 (exp z)) y))) t))
6.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))

series256.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- x (/ (log (- 1.0 (* (- 1 (exp z)) y))) t))
117.0ms	(/ (log (- 1.0 (* (- 1 (exp z)) y))) t)
60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
13.0ms	(- 1 (exp z))

simplify539.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	208	1595
1	471	1505
2	1532	1411
done	5000	1411

prune297.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
66×	`add-sqr-sqrt` `*-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` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `difference-of-squares`
1×	`sub-neg` `pow-flip` `diff-log` `rem-log-exp` `associate-/r/` `distribute-lft-out--` `inv-pow`

Counts

4 → 148

Calls

4 calls:

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

series322.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ 1 (/ t (log (- 1.0 (* (- 1 (exp z)) y)))))
172.0ms	(/ t (log (- 1.0 (* (- 1 (exp z)) y))))
60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
14.0ms	(- 1 (exp z))

simplify1.8s

Counts

160 → 160

Iterations

Useful iterations: 2 (302.0ms)

Iter	Nodes	Cost
0	306	3331
1	740	3071
2	3259	2737
done	5000	2737

prune395.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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:

2.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
3.0ms	(- 1 (exp z))
3.0ms	(- 1 (exp z))
3.0ms	(- 1 (exp z))

series99.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(log (- 1.0 (* (- 1 (exp z)) y)))
12.0ms	(- 1 (exp z))
13.0ms	(- 1 (exp z))
13.0ms	(- 1 (exp z))

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: 3 (577.0ms)

Iter	Nodes	Cost
0	110	760
1	269	698
2	1001	646
3	4473	636
done	5000	636

prune263.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

regimes457.0ms

Accuracy

57.2% (4.7b remaining)

Error of 9.2b against oracle of 4.4b and baseline of 15.5b

bsearch87.0ms

Steps

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

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	76
1	43	76
done	43	76

end0.0ms

sample3.2s

Algorithm

intervals

Results

777.0ms	1552×	body	10240	exit
767.0ms	1440×	body	1280	valid
477.0ms	1581×	body	640	valid
218.0ms	3486×	body	80	valid
177.0ms	946×	body	320	valid
139.0ms	106×	body	2560	valid
101.0ms	2566×	body	80	nan
55.0ms	459×	body	160	valid
54.0ms	268×	body	640	nan
33.0ms	111×	body	1280	nan
27.0ms	203×	body	320	nan
10.0ms	121×	body	160	nan