Details

sample205.0ms

Algorithm

intervals

Results

56.0ms	48×	body	1280	valid
41.0ms	41×	body	10240	exit
37.0ms	62×	body	640	valid
13.0ms	109×	body	80	valid
8.0ms	21×	body	320	valid
6.0ms	72×	body	80	nan
4.0ms	10×	body	640	nan
4.0ms	16×	body	160	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	1280	nan
1.0ms	2×	body	320	nan
1.0ms	3×	body	160	nan

simplify4.5s

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	73	13
5	195	13
6	738	13
7	3477	13
done	5001	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.5b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite169.0ms

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:

16.0ms	(* y (exp z))
79.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
41.0ms	(log (+ (- 1.0 y) (* y (exp z))))
30.0ms	(+ (- 1.0 y) (* y (exp z)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
212.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
99.0ms	(log (+ (- 1.0 y) (* y (exp z))))
56.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	1436
1	478	1388
2	1863	1273
done	5001	1270

prune357.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
2.9b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.7b	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

36.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
10.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
27.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
50.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

series583.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- x (/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t))
104.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
121.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
167.0ms	(/ (+ (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))) (log 1.0)) t)

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	157	1939
1	430	1869
2	1904	1723
done	5001	1721

prune366.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (* z y) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

17.0ms

(/ (* z y) t)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (* z y) t)

simplify599.0ms

Counts

24 → 24

Iterations

Useful iterations: done (598.0ms)

Iter	Nodes	Cost
0	48	186
1	119	179
2	627	155
done	5000	149

prune135.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.4b

localize13.0ms

Local error

Found 1 expressions with local error:

4.5b	(/ (* z y) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

10.0ms

(/ (* z y) t)

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/ (* z y) t)

simplify891.0ms

Counts

24 → 24

Iterations

Useful iterations: done (891.0ms)

Iter	Nodes	Cost
0	48	186
1	119	179
2	627	155
done	5000	149

prune71.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.4b

regimes751.0ms

Accuracy

64.3% (4.6b remaining)

Error of 8.5b against oracle of 3.9b and baseline of 16.7b

bsearch232.0ms

Steps

Iters	Range		Point
8	1.297360452734225e-62	4.8011421741856184e-60	8.257479803818376e-61
8	-1.136111738072016e+18	-1976259405078886.5	-1996524655068977.8

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	62
1	53	62
done	53	62

end0.0ms

sample6.4s

Algorithm

intervals

Results

1.4s	1532×	body	10240	exit
1.3s	1646×	body	640	valid
1.2s	1440×	body	1280	valid
832.0ms	3510×	body	80	valid
255.0ms	2475×	body	80	nan
241.0ms	906×	body	320	valid
150.0ms	67×	body	2560	valid
121.0ms	462×	body	160	valid
82.0ms	195×	body	320	nan
72.0ms	256×	body	640	nan
45.0ms	97×	body	1280	nan
15.0ms	111×	body	160	nan