Details

sample159.0ms

Algorithm

intervals

Results

36.0ms	45×	body	1280	valid
33.0ms	41×	body	10240	exit
21.0ms	43×	body	640	valid
12.0ms	121×	body	80	valid
10.0ms	32×	body	320	valid
5.0ms	83×	body	80	nan
5.0ms	14×	body	640	nan
4.0ms	2×	body	2560	valid
3.0ms	14×	body	160	valid
1.0ms	7×	body	320	nan
0.0ms	1×	body	1280	nan
0.0ms	1×	body	160	nan

simplify543.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.8b	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite196.0ms

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:

13.0ms	(* y (exp z))
88.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
58.0ms	(+ (- 1.0 y) (* y (exp z)))
34.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series460.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (exp z))
258.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
65.0ms	(+ (- 1.0 y) (* y (exp z)))
109.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify3.0s

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

prune466.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1 (exp z)))
0.0b	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
1.9b	(log (- 1.0 (* y (- 1 (exp z)))))
3.4b	(- 1 (exp z))

rewrite65.0ms

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:

31.0ms	(* y (- 1 (exp z)))
15.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
9.0ms	(- 1 (exp z))

series476.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (- 1 (exp z)))
251.0ms	(/ (log (- 1.0 (* y (- 1 (exp z))))) t)
125.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
24.0ms	(- 1 (exp z))

simplify4.1s

Counts

101 → 101

Iterations

Useful iterations: 3 (2.1s)

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

prune446.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1 (exp z)))
0.1b	(* (log (- 1.0 (* y (- 1 (exp z))))) (/ 1 t))
1.9b	(log (- 1.0 (* y (- 1 (exp z)))))
3.4b	(- 1 (exp z))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

40.0ms	(* y (- 1 (exp z)))
36.0ms	(* (log (- 1.0 (* y (- 1 (exp z))))) (/ 1 t))
4.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
8.0ms	(- 1 (exp z))

series484.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* y (- 1 (exp z)))
273.0ms	(* (log (- 1.0 (* y (- 1 (exp z))))) (/ 1 t))
135.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
19.0ms	(- 1 (exp z))

simplify4.4s

Counts

105 → 105

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	238	1500
1	567	1346
2	1508	1200
3	4522	1190
done	5000	1190

prune477.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.5b

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (- 1.0 (* y (- 1 (exp z)))))
3.4b	(- 1 (exp z))
3.4b	(- 1 (exp z))
3.4b	(- 1 (exp z))

rewrite49.0ms

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)))))
9.0ms	(- 1 (exp z))
8.0ms	(- 1 (exp z))
26.0ms	(- 1 (exp z))

series182.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(log (- 1.0 (* y (- 1 (exp z)))))
19.0ms	(- 1 (exp z))
15.0ms	(- 1 (exp z))
19.0ms	(- 1 (exp z))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: done (2.1s)

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

prune405.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.5b

regimes373.0ms

Accuracy

60.4% (3.9b remaining)

Error of 8.4b against oracle of 4.6b and baseline of 14.3b

bsearch251.0ms

Steps

Iters	Range		Point
8	-8.638556380710241e-134	-2.110475534095123e-136	-7.241287788275609e-136
9	-13383714263806988.0	-44422563.80804561	-45345376.06692872

simplify50.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	68
1	62	68
2	74	68
3	80	68
4	85	68
5	91	68
done	91	68

end0.0ms

sample6.3s

Algorithm

intervals

Results

1.8s	1557×	body	10240	exit
1.3s	1443×	body	1280	valid
781.0ms	1545×	body	640	valid
662.0ms	915×	body	320	valid
369.0ms	3558×	body	80	valid
242.0ms	84×	body	2560	valid
144.0ms	2431×	body	80	nan
115.0ms	478×	body	160	valid
83.0ms	263×	body	640	nan
47.0ms	110×	body	1280	nan
40.0ms	195×	body	320	nan
12.0ms	100×	body	160	nan