Details

sample206.0ms

Algorithm

intervals

Results

43.0ms	49×	body	10240	exit
40.0ms	64×	body	640	valid
38.0ms	42×	body	1280	valid
12.0ms	111×	body	80	valid
8.0ms	25×	body	320	valid
7.0ms	103×	body	80	nan
6.0ms	3×	body	2560	valid
5.0ms	13×	body	640	nan
3.0ms	15×	body	160	valid
2.0ms	10×	body	320	nan
2.0ms	4×	body	1280	nan
0.0ms	2×	body	160	nan

simplify540.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize30.0ms

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)))
2.6b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite142.0ms

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:

18.0ms	(* y (exp z))
62.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
30.0ms	(+ (- 1.0 y) (* y (exp z)))
28.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (exp z))
249.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
48.0ms	(+ (- 1.0 y) (* y (exp z)))
93.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

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

prune433.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1 (exp z)))
0.0b	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
2.4b	(log (- 1.0 (* y (- 1 (exp z)))))
4.0b	(- 1 (exp z))

rewrite92.0ms

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:

50.0ms	(* y (- 1 (exp z)))
14.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
7.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
16.0ms	(- 1 (exp z))

series446.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* y (- 1 (exp z)))
244.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
127.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
21.0ms	(- 1 (exp z))

simplify3.5s

Counts

101 → 101

Iterations

Useful iterations: 3 (1.6s)

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

prune507.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ t (log (- 1.0 (* y (- 1 (exp z)))))))
0.0b	(/ t (log (- 1.0 (* y (- 1 (exp z))))))
2.4b	(log (- 1.0 (* y (- 1 (exp z)))))
4.0b	(- 1 (exp z))

rewrite65.0ms

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:

13.0ms	(/ 1 (/ t (log (- 1.0 (* y (- 1 (exp z)))))))
22.0ms	(/ t (log (- 1.0 (* y (- 1 (exp z))))))
8.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
16.0ms	(- 1 (exp z))

series536.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ 1 (/ t (log (- 1.0 (* y (- 1 (exp z)))))))
284.0ms	(/ t (log (- 1.0 (* y (- 1 (exp z))))))
113.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
15.0ms	(- 1 (exp z))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	302	3318
1	689	3008
2	1855	2724
done	5001	2680

prune655.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
2.4b	(log (- 1.0 (* y (- 1 (exp z)))))
4.0b	(- 1 (exp z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
17.0ms	(- 1 (exp z))

series626.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(cbrt t)
262.0ms	(cbrt t)
115.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
16.0ms	(- 1 (exp z))

simplify2.1s

Counts

63 → 63

Iterations

Useful iterations: 3 (759.0ms)

Iter	Nodes	Cost
0	133	600
1	295	562
2	766	508
3	2356	498
done	5000	498

prune329.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.9b

regimes557.0ms

Accuracy

59.8% (4.4b remaining)

Error of 8.6b against oracle of 4.2b and baseline of 15.0b

bsearch85.0ms

Steps

Iters	Range		Point
9	-595411.4635753314	-0.3063967055351801	-0.3115017031960372

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	37
1	36	37
done	36	37

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.2s	1449×	body	10240	exit
1.5s	1488×	body	1280	valid
915.0ms	1615×	body	640	valid
434.0ms	3540×	body	80	valid
290.0ms	873×	body	320	valid
203.0ms	2496×	body	80	nan
137.0ms	73×	body	2560	valid
86.0ms	257×	body	640	nan
82.0ms	448×	body	160	valid
54.0ms	110×	body	1280	nan
43.0ms	191×	body	320	nan
16.0ms	103×	body	160	nan