Details

sample152.0ms

Algorithm

intervals

Results

36.0ms	51×	body	10240	exit
27.0ms	41×	body	1280	valid
18.0ms	44×	body	640	valid
10.0ms	116×	body	80	valid
9.0ms	34×	body	320	valid
7.0ms	4×	body	2560	valid
5.0ms	87×	body	80	nan
3.0ms	18×	body	160	valid
2.0ms	4×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	6×	body	320	nan
0.0ms	3×	body	160	nan

simplify1.0s

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: 25.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.6b	(log (+ (- 1.0 y) (* y (exp z))))
3.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite215.0ms

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:

26.0ms	(* y (exp z))
80.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
47.0ms	(log (+ (- 1.0 y) (* y (exp z))))
60.0ms	(+ (- 1.0 y) (* y (exp z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (exp z))
247.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
122.0ms	(log (+ (- 1.0 y) (* y (exp z))))
47.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify2.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	203	1436
1	451	1388
2	1247	1271
3	3833	1268
done	5002	1268

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.0b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

23.0ms	(* 0.5 (pow z 2))
18.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
51.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
50.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series451.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 0.5 (pow z 2))
94.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
149.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
166.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	171	1642
1	416	1566
2	1289	1413
done	5000	1263

prune479.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ 1.0 (* 0.5 z)))
0.3b	(/ 1 (/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0))))
4.0b	(* (* z (+ 1.0 (* 0.5 z))) y)
4.6b	(/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
61×	`add-sqr-sqrt`
59×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log`
18×	`associate-/r*` `add-cbrt-cube`
12×	`pow1`
11×	`associate-/r/`
8×	`div-exp`
7×	`flip3-+` `flip-+`
6×	`associate-r` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-l/` `clear-num` `-commutative`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `inv-pow` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

18.0ms	(* z (+ 1.0 (* 0.5 z)))
78.0ms	(/ 1 (/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0))))
46.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
68.0ms	(/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* z (+ 1.0 (* 0.5 z)))
227.0ms	(/ 1 (/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0))))
69.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
247.0ms	(/ t (+ (* (* z (+ 1.0 (* 0.5 z))) y) (log 1.0)))

simplify1.3s

Counts

167 → 167

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	278	3892
1	665	3614
2	1938	3289
done	5000	3231

prune662.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y))))
0.0b	(* z (+ 1.0 (* 0.5 z)))
4.0b	(* (* z (+ 1.0 (* 0.5 z))) y)
4.6b	(* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`add-exp-log`
17×	`associate-l`
16×	`*-un-lft-identity` `add-cbrt-cube`
15×	`add-cube-cbrt`
13×	`pow1`
11×	`times-frac`
9×	`associate-r`
8×	`prod-exp`
6×	`associate-*r/` `cbrt-unprod` `add-log-exp`
5×	`pow-prod-down`
4×	`flip3-+` `flip-+` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative`
2×	`frac-times` `div-exp` `associate--r+`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `flip--` `div-inv`

Counts

4 → 97

Calls

4 calls:

5.0ms	(- x (* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y))))
25.0ms	(* z (+ 1.0 (* 0.5 z)))
49.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
39.0ms	(* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(- x (* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y))))
105.0ms	(* z (+ 1.0 (* 0.5 z)))
64.0ms	(* (* z (+ 1.0 (* 0.5 z))) y)
239.0ms	(* (/ 1 t) (+ (log 1.0) (* (* z (+ 1.0 (* 0.5 z))) y)))

simplify1.5s

Counts

109 → 109

Iterations

Useful iterations: 2 (536.0ms)

Iter	Nodes	Cost
0	202	1994
1	613	1786
2	2138	1592
done	5000	1592

prune413.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.4b

regimes727.0ms

Accuracy

66.1% (4.3b remaining)

Error of 8.7b against oracle of 4.4b and baseline of 17.2b

bsearch201.0ms

Steps

Iters	Range		Point
7	1.497861830149964e-40	2.5310480627793195e-39	3.3019418859267706e-40
10	-6.207916998916165e+28	-1014094955833491.1	-8.059157933548561e+21

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	63
1	46	63
done	46	63

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.5s	1494×	body	1280	valid
1.2s	1512×	body	10240	exit
875.0ms	1493×	body	640	valid
445.0ms	3590×	body	80	valid
418.0ms	502×	body	160	valid
225.0ms	874×	body	320	valid
168.0ms	2525×	body	80	nan
140.0ms	84×	body	2560	valid
85.0ms	290×	body	640	nan
47.0ms	110×	body	1280	nan
36.0ms	183×	body	320	nan
12.0ms	96×	body	160	nan