Details

sample120.0ms

Algorithm

intervals

Results

32.0ms	64×	body	10240	exit
30.0ms	51×	body	1280	valid
16.0ms	51×	body	640	valid
7.0ms	110×	body	80	valid
6.0ms	4×	body	2560	valid
5.0ms	28×	body	320	valid
3.0ms	95×	body	80	nan
2.0ms	7×	body	640	nan
1.0ms	12×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	2×	body	160	nan

simplify272.0ms

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	111	13
7	146	13
8	179	13
9	232	13
10	383	13
11	422	13
done	422	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

localize11.0ms

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))))

rewrite52.0ms

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))
24.0ms	(/ (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))))

series289.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
35.0ms	(+ (- 1.0 y) (* y (exp z)))
76.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify1.6s

Counts

92 → 92

Iterations

Useful iterations: 3 (766.0ms)

Iter	Nodes	Cost
0	203	1436
1	449	1388
2	1279	1269
3	4161	1266
done	5000	1266

prune295.0ms

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	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
2.4b	(log (+ 1.0 (- (* y (exp z)) y)))
2.7b	(- (* y (exp z)) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(* y (exp z))
24.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
10.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
4.0ms	(- (* y (exp z)) y)

series294.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
158.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
75.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
38.0ms	(- (* y (exp z)) y)

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: 3 (980.0ms)

Iter	Nodes	Cost
0	209	1388
1	461	1326
2	1297	1223
3	3980	1210
done	5000	1210

prune278.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ t (log (+ 1.0 (- (* y (exp z)) y)))))
0.1b	(/ t (log (+ 1.0 (- (* y (exp z)) y))))
2.4b	(log (+ 1.0 (- (* y (exp z)) y)))
2.7b	(- (* y (exp z)) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
65×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `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` `log-prod`
2×	`log-div` `rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `rem-log-exp` `associate-/r/` `flip--` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 146

Calls

4 calls:

6.0ms	(/ 1 (/ t (log (+ 1.0 (- (* y (exp z)) y)))))
2.0ms	(/ t (log (+ 1.0 (- (* y (exp z)) y))))
10.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
4.0ms	(- (* y (exp z)) y)

series391.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 1 (/ t (log (+ 1.0 (- (* y (exp z)) y)))))
201.0ms	(/ t (log (+ 1.0 (- (* y (exp z)) y))))
78.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
38.0ms	(- (* y (exp z)) y)

simplify763.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	300	3348
1	707	3040
2	2042	2753
done	5000	2753

prune373.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (* y (exp z)) y)
2.7b	(- (* y (exp z)) y)
6.1b	(log (+ (pow 1.0 3) (pow (- (* y (exp z)) y) 3)))
6.2b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (- (* y (exp z)) y) 1.0))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`sum-cubes`

Counts

4 → 58

Calls

4 calls:

4.0ms	(- (* y (exp z)) y)
4.0ms	(- (* y (exp z)) y)
27.0ms	(log (+ (pow 1.0 3) (pow (- (* y (exp z)) y) 3)))
2.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (- (* y (exp z)) y) 1.0))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y (exp z)) y)
38.0ms	(- (* y (exp z)) y)
277.0ms	(log (+ (pow 1.0 3) (pow (- (* y (exp z)) y) 3)))
199.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (- (* y (exp z)) y) 1.0))))

simplify615.0ms

Counts

70 → 70

Iterations

Useful iterations: done (613.0ms)

Iter	Nodes	Cost
0	186	1697
1	478	1581
2	1667	1454
done	5001	1453

prune503.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.1b

regimes447.0ms

Accuracy

30.1% (10.2b remaining)

Error of 14.7b against oracle of 4.5b and baseline of 19.1b

bsearch528.0ms

Steps

Iters	Range		Point
11	3.67763589131706e+89	1.3893735712912332e+113	1.3746508246750045e+113
8	1.2952092234492434e-79	7.320640770367206e-77	5.737223952181667e-78
9	-3.539614833728364e+106	-5.955106473848199e+97	-3.040180749931492e+103
2	-1.0288911779845722e+120	-9.443909635795886e+119	-9.549534903802116e+119
8	-4.5573653721798024e+169	-5.701908355638887e+165	-2.5270627226614018e+169

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	288
1	132	288
done	132	288

end0.0ms

sample3.2s

Algorithm

intervals

Results

770.0ms	1552×	body	10240	exit
763.0ms	1440×	body	1280	valid
473.0ms	1581×	body	640	valid
210.0ms	3486×	body	80	valid
175.0ms	946×	body	320	valid
135.0ms	106×	body	2560	valid
98.0ms	2566×	body	80	nan
57.0ms	268×	body	640	nan
52.0ms	459×	body	160	valid
33.0ms	111×	body	1280	nan
27.0ms	203×	body	320	nan
10.0ms	121×	body	160	nan