Details

sample204.0ms

Algorithm

intervals

Results

47.0ms	53×	body	10240	exit
41.0ms	50×	body	1280	valid
24.0ms	50×	body	640	valid
19.0ms	15×	body	160	valid
12.0ms	106×	body	80	valid
10.0ms	34×	body	320	valid
6.0ms	82×	body	80	nan
4.0ms	2×	body	2560	valid
3.0ms	9×	body	640	nan
1.0ms	5×	body	160	nan
1.0ms	1×	body	1280	nan
1.0ms	3×	body	320	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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.1b	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
1.4b	(log (+ (* y (exp z)) (- 1.0 y)))
2.8b	(+ (* y (exp z)) (- 1.0 y))

rewrite95.0ms

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))
41.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
25.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
17.0ms	(+ (* y (exp z)) (- 1.0 y))

series496.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (exp z))
265.0ms	(/ (log (+ (* y (exp z)) (- 1.0 y))) t)
139.0ms	(log (+ (* y (exp z)) (- 1.0 y)))
50.0ms	(+ (* y (exp z)) (- 1.0 y))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1789
1	460
0	195

prune668.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 1.0) (* (* 0.5 z) z))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
2.6b	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
7.4b	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

rewrite137.0ms

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:

12.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
37.0ms	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
39.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
47.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

series784.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (* z 1.0) (* (* 0.5 z) z))
213.0ms	(- x (/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t))
185.0ms	(* y (+ (* z 1.0) (* (* 0.5 z) z)))
234.0ms	(/ (+ (log 1.0) (* y (+ (* z 1.0) (* (* 0.5 z) z)))) t)

simplify983.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	1980
1	433
0	160

prune648.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
6.2b	(/ (* z 1.0) (/ t y))

rewrite100.0ms

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:

87.0ms	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
11.0ms	(/ (* z 1.0) (/ t y))

series177.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(- x (+ (/ (* z 1.0) (/ t y)) (/ (log 1.0) t)))
35.0ms	(/ (* z 1.0) (/ t y))

simplify986.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	2142
1	409
0	154

prune511.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* (/ z (/ t 1.0)) y) (/ (log 1.0) t)))
6.0b	(* (/ z (/ t 1.0)) y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

59.0ms	(- x (+ (* (/ z (/ t 1.0)) y) (/ (log 1.0) t)))
26.0ms	(* (/ z (/ t 1.0)) y)

series249.0ms

Counts

2 → 6

Calls

2 calls:

204.0ms	(- x (+ (* (/ z (/ t 1.0)) y) (/ (log 1.0) t)))
44.0ms	(* (/ z (/ t 1.0)) y)

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2075
1	466
0	188

prune652.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.7b

regimes969.0ms

Accuracy

66.5% (4.4b remaining)

Error of 8.2b against oracle of 3.7b and baseline of 17.0b

bsearch124.0ms

Steps

Iters	Range		Point
8	-60102695835691.71	-3658128597.9917617	-3716868871.2444687

simplify4.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.1s	1554×	body	10240	exit
1.4s	1467×	body	1280	valid
870.0ms	1496×	body	640	valid
659.0ms	456×	body	160	valid
473.0ms	3622×	body	80	valid
307.0ms	904×	body	320	valid
205.0ms	2459×	body	80	nan
164.0ms	82×	body	2560	valid
92.0ms	255×	body	640	nan
59.0ms	122×	body	1280	nan
47.0ms	195×	body	320	nan
15.0ms	100×	body	160	nan