Details

sample90.0ms

Algorithm

intervals

Results

21.0ms	45×	body	10240	exit
20.0ms	43×	body	1280	valid
15.0ms	57×	body	640	valid
7.0ms	130×	body	80	valid
3.0ms	80×	body	80	nan
2.0ms	14×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	7×	body	640	nan
1.0ms	4×	body	1280	nan
1.0ms	4×	body	320	nan
0.0ms	3×	body	160	nan

simplify461.0ms

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	382	13
11	443	13
12	444	13
done	444	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.6b	(log (+ (- 1.0 y) (* y (exp z))))
2.8b	(+ (- 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)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
13.0ms	(+ (- 1.0 y) (* y (exp z)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (exp z))
149.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
72.0ms	(log (+ (- 1.0 y) (* y (exp z))))
34.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify1.7s

Counts

92 → 92

Iterations

Useful iterations: 3 (779.0ms)

Iter	Nodes	Cost
0	203	1436
1	449	1388
2	1281	1269
3	4172	1266
done	5000	1266

prune291.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.6b

localize14.0ms

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))
2.6b	(* y (* z (+ (* 0.5 z) 1.0)))
4.8b	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

rewrite48.0ms

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)))
11.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

series364.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- x (/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t))
64.0ms	(* z (+ (* 0.5 z) 1.0))
53.0ms	(* y (* z (+ (* 0.5 z) 1.0)))
126.0ms	(/ (+ (log 1.0) (* y (* z (+ (* 0.5 z) 1.0)))) t)

simplify786.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	179	1815
1	440	1740
2	1340	1586
done	5001	1586

prune300.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.2b	(/ (* z y) t)

rewrite34.0ms

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:

29.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.0ms	(/ (* z y) t)

series105.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify1.5s

Counts

43 → 43

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	86	587
1	205	564
2	652	506
3	2835	506
done	5001	506

prune338.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
3.3b	(* (* z y) (/ 1 t))

rewrite88.0ms

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:

75.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
11.0ms	(* (* z y) (/ 1 t))

series107.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- x (+ (* 1.0 (* (* z y) (/ 1 t))) (/ (log 1.0) t)))
19.0ms	(* (* z y) (/ 1 t))

simplify3.5s

Counts

60 → 60

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	125	862
1	349	709
2	1172	595
3	4639	595
done	5000	595

prune113.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.6b

regimes661.0ms

Accuracy

65.6% (4.6b remaining)

Error of 8.1b against oracle of 3.5b and baseline of 16.9b

bsearch138.0ms

Steps

Iters	Range		Point
9	8.26855449639164e-26	1.3234759465439615e-20	4.931084391344582e-25
7	-1.046355961971052	-0.015374280752585082	-0.015559780265086308

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	65
1	51	65
done	51	65

end0.0ms

sample3.1s

Algorithm

intervals

Results

747.0ms	1518×	body	10240	exit
740.0ms	1447×	body	1280	valid
457.0ms	1590×	body	640	valid
209.0ms	3550×	body	80	valid
155.0ms	879×	body	320	valid
109.0ms	87×	body	2560	valid
94.0ms	2609×	body	80	nan
56.0ms	292×	body	640	nan
53.0ms	466×	body	160	valid
35.0ms	126×	body	1280	nan
26.0ms	203×	body	320	nan
8.0ms	103×	body	160	nan