Details

sample99.0ms

Algorithm

intervals

Results

22.0ms	46×	body	10240	exit
22.0ms	43×	body	1280	valid
15.0ms	51×	body	640	valid
7.0ms	122×	body	80	valid
5.0ms	83×	body	80	nan
4.0ms	27×	body	320	valid
3.0ms	2×	body	2560	valid
2.0ms	6×	body	1280	nan
1.0ms	12×	body	160	valid
1.0ms	5×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	2×	body	160	nan

simplify657.0ms

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	230	13
10	373	13
11	404	13
12	428	13
done	428	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

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)
1.3b	(log (+ (- 1.0 y) (* y (exp z))))
2.4b	(+ (- 1.0 y) (* y (exp z)))

rewrite54.0ms

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))
25.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
14.0ms	(+ (- 1.0 y) (* y (exp z)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
170.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
71.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.5s

Counts

92 → 92

Iterations

Useful iterations: 3 (662.0ms)

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

prune261.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t))
0.0b	(* z (+ (* 0.5 z) 1.0))
2.1b	(* y (* z (+ (* 0.5 z) 1.0)))
4.7b	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(- x (/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t))
10.0ms	(* z (+ (* 0.5 z) 1.0))
13.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
13.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

series358.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- x (/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t))
65.0ms	(* z (+ (* 0.5 z) 1.0))
56.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
115.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

simplify547.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	179	1815
1	440	1740
2	1336	1586
done	5001	1586

prune284.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.9b	(/ (* z y) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

30.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series105.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
20.0ms	(/ (* z y) t)

simplify979.0ms

Counts

43 → 43

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	86	587
1	205	564
2	652	506
3	2832	506
done	5000	506

prune141.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
5.0b	(* (* z y) (/ 1 t))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `times-frac`
7×	`pow1` `add-log-exp`
6×	`cbrt-unprod`
4×	`div-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `diff-log` `1-exp`
1×	`sub-neg` `flip3--` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

79.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
11.0ms	(* (* z y) (/ 1 t))

series109.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
20.0ms	(* (* z y) (/ 1 t))

simplify2.5s

Counts

60 → 60

Iterations

Useful iterations: 2 (127.0ms)

Iter	Nodes	Cost
0	125	862
1	349	691
2	1044	595
3	4468	595
done	5001	595

prune123.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.4b

regimes521.0ms

Accuracy

53.5% (6.1b remaining)

Error of 9.8b against oracle of 3.7b and baseline of 16.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	79
1	48	79
done	48	79

end0.0ms

sample3.3s

Algorithm

intervals

Results

948.0ms	1406×	body	1280	valid
735.0ms	1490×	body	10240	exit
469.0ms	1612×	body	640	valid
213.0ms	3515×	body	80	valid
163.0ms	903×	body	320	valid
108.0ms	84×	body	2560	valid
86.0ms	2485×	body	80	nan
55.0ms	502×	body	160	valid
53.0ms	264×	body	640	nan
30.0ms	104×	body	1280	nan
25.0ms	197×	body	320	nan
9.0ms	115×	body	160	nan