Details

sample181.0ms

Algorithm

intervals

Results

41.0ms	46×	body	1280	valid
31.0ms	37×	body	10240	exit
31.0ms	62×	body	640	valid
11.0ms	110×	body	80	valid
9.0ms	25×	body	320	valid
6.0ms	80×	body	80	nan
5.0ms	14×	body	640	nan
5.0ms	1×	body	2560	valid
2.0ms	14×	body	160	valid
2.0ms	3×	body	1280	nan
1.0ms	6×	body	320	nan
1.0ms	4×	body	160	nan

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3550
6	735
5	195
4	73
3	48
2	33
1	20
0	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
1.1b	(log (+ (* y (exp z)) (- 1.0 y)))
3.4b	(+ (* y (exp z)) (- 1.0 y))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

9.0ms	(* y (exp z))
54.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
20.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
25.0ms	(+ (* y (exp z)) (- 1.0 y))

series391.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* y (exp z))
219.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
108.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
40.0ms	(+ (* y (exp z)) (- 1.0 y))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1789
1	460
0	195

prune672.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
0.0b	(+ (* z 1.0) (* (* 0.5 z) z))
1.7b	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

25.0ms	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
6.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
22.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
29.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

series550.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
107.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
136.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
159.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

simplify969.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2113
1	433
0	160

prune573.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
5.3b	(/ (* z 1.0) (/ t y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

82.0ms	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
14.0ms	(/ (* z 1.0) (/ t y))

series177.0ms

Counts

2 → 6

Calls

2 calls:

135.0ms	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
41.0ms	(/ (* z 1.0) (/ t y))

simplify743.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2142
1	409
0	154

prune481.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.9b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

75.0ms	(- x (+ (* (/ z t) (* y 1.0)) (/ (log 1.0) t)))
35.0ms	(* (/ z t) (* y 1.0))

series218.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(- x (+ (* (/ z t) (* y 1.0)) (/ (log 1.0) t)))
48.0ms	(* (/ z t) (* y 1.0))

simplify597.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1068
1	300
0	113

prune244.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.9b

regimes797.0ms

Accuracy

66.7% (4.3b remaining)

Error of 8.1b against oracle of 3.8b and baseline of 16.8b

bsearch94.0ms

Steps

Iters	Range		Point
8	-14746478108.679678	-6825411.755095969	-6916256.210191492

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	24

end0.0ms

sample6.1s

Algorithm

intervals

Results

1.7s	1538×	body	10240	exit
1.2s	1461×	body	1280	valid
1.0s	1587×	body	640	valid
360.0ms	3462×	body	80	valid
307.0ms	913×	body	320	valid
169.0ms	2528×	body	80	nan
166.0ms	104×	body	2560	valid
120.0ms	500×	body	160	valid
87.0ms	286×	body	640	nan
48.0ms	114×	body	1280	nan
43.0ms	218×	body	320	nan
12.0ms	95×	body	160	nan