Details

sample52.1s

Algorithm

intervals

Results

51.6s	3195×	body	10240	exit
157.0ms	3451×	pre	80	true
38.0ms	250×	body	80	valid
6.0ms	1×	body	5120	valid
3.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	744
2	143
1	53
0	22

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize192.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
36×	`unpow-prod-down` `*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
6×	`pow1` `pow-unpow` `distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `insert-posit16`
3×	`div-inv`
2×	`pow-pow` `flip3-+` `flip-+` `difference-of-squares` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 271

Calls

4 calls:

54.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
35.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
37.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
297.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.5s

Counts

4 → 12

Calls

4 calls:

71.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
110.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
110.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.2s	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify3.9s

Counts

283 → 283

Iterations

Iter	Nodes
done	5019
2	3039
1	1153
0	370

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize301.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.8b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
2.0b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
6.9b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
20×	`add-cube-cbrt`
18×	`add-log-exp`
10×	`add-exp-log`
6×	`pow1` `flip3-+` `flip-+` `distribute-lft-out`
5×	`diff-log`
4×	`sum-log` `add-cbrt-cube` `rem-log-exp` `associate-/r/` `frac-sub` `insert-posit16`
3×	`difference-of-squares`
2×	`log-div` `sub-neg` `flip3--` `div-exp` `log-pow` `div-inv` `flip--` `distribute-lft-out--`
1×	`associate--l+` `associate--r+`

Counts

4 → 100

Calls

4 calls:

53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
17.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
17.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
108.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series986.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
120.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
120.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
674.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify3.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	2542
1	826
0	329

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize323.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.8b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
6.9b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite684.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`log-prod` `add-log-exp`
16×	`associate-*l/`
14×	`add-cube-cbrt`
13×	`times-frac`
10×	`frac-sub`
9×	`add-exp-log`
8×	`flip3-+` `flip-+`
7×	`pow1`
6×	`add-cbrt-cube`
5×	`diff-log`
4×	`sum-log` `insert-posit16`
3×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out` `difference-of-squares`
2×	`frac-times` `sub-neg` `rem-log-exp` `associate-*r/` `associate-/r/` `distribute-lft-out--`
1×	`log-div` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `associate--r+` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

267.0ms	(* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p)
53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
18.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
340.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series1.0s

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p)
72.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
120.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
742.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (- (+ (* t 0.5) (log 0.5)) (* (* (/ t 0.5) (/ t 0.5)) 0.03125)) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify4.3s

Counts

109 → 109

Iterations

Iter	Nodes
done	5000
2	3184
1	905
0	344

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize235.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.2b	(* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
6.0b	(- (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0))))) (+ (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (* c_p (* 0.5 t))))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
24×	`log-prod`
22×	`*-un-lft-identity`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cube-cbrt`
11×	`add-log-exp`
10×	`pow1` `difference-of-squares`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r` `associate-l`
5×	`times-frac` `distribute-lft-out--`
4×	`insert-posit16`
3×	`diff-log`
2×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`sum-log` `associate--r+`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
169.0ms	(* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))))
53.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
182.0ms	(- (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0))))) (+ (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (* c_p (* 0.5 t))))

series988.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
150.0ms	(* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0)))))
72.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
581.0ms	(- (* c_n (log (- 1.0 (/ 1.0 (+ (exp (- s)) 1.0))))) (+ (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (* c_p (* 0.5 t))))

simplify5.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5032
3	4454
2	1402
1	517
0	235

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes930.0ms

bsearch1.9s

Steps

Iters	Range		Point
3	2.5316881902518962e-64	2.986498024769229e-64	2.901221180797229e-64

simplify29.0ms

Iterations

Iter	Nodes
done	75
1	75
0	56

end0.0ms

sample1.9m

Algorithm

intervals

Results

1.9m	8684×	body	10240	exit
267.0ms	9335×	pre	80	true
75.0ms	635×	body	80	valid
11.0ms	2×	body	5120	valid
6.0ms	3×	body	1280	valid
3.0ms	3×	body	640	valid
2.0ms	1×	body	2560	valid
2.0ms	5×	body	160	valid
1.0ms	2×	body	320	valid