Details

sample52.0s

Algorithm

intervals

Results

51.6s	3195×	body	10240	exit
170.0ms	3451×	pre	80	true
54.0ms	250×	body	80	valid
10.0ms	1×	body	5120	valid
4.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	844
2	147
1	54
0	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
1.5b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.7b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
3.7b	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`add-exp-log`
692×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
344×	`pow-to-exp`
116×	`rec-exp` `1-exp`
42×	`*-un-lft-identity`
36×	`unpow-prod-down`
33×	`add-sqr-sqrt`
29×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-cbrt-cube`
8×	`pow1`
6×	`pow-unpow` `pow-pow` `distribute-lft-out` `add-log-exp` `difference-of-squares`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv`
2×	`flip3-+` `flip-+` `pow-flip` `distribute-lft-out--` `inv-pow` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l`

Counts

4 → 476

Calls

4 calls:

26.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
13.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
134.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
55.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
54.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
507.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify1.2s

Counts

488 → 488

Iterations

Iter	Nodes
done	5001
1	1674
0	451

prune689.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
1.8b	(log (/ 1 (+ 1 (exp (- s)))))
2.0b	(log (/ 1 (+ 1 (exp (- t)))))
6.9b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

26.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
6.0ms	(log (/ 1 (+ 1 (exp (- t)))))
46.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
55.0ms	(log (/ 1 (+ 1 (exp (- s)))))
52.0ms	(log (/ 1 (+ 1 (exp (- t)))))
299.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	3171
1	832
0	316

prune692.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p)
0.3b	(- 1 (/ 1 (+ 1 (exp (- t)))))
1.8b	(log (/ 1 (+ 1 (exp (- s)))))
6.9b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

40.0ms	(* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p)
27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
78.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p)
27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
55.0ms	(log (/ 1 (+ 1 (exp (- s)))))
365.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* 1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.6s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	3346
1	808
0	298

prune755.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n)
0.2b	(* c_n (log (- 1 (/ 1 (+ 1 (exp (- s)))))))
0.3b	(- 1 (/ 1 (+ (exp (- t)) 1)))
6.5b	(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (- s))))))) (* (* 1/8 t) (* t c_p))) (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n)
56.0ms	(* c_n (log (- 1 (/ 1 (+ 1 (exp (- s)))))))
41.0ms	(- 1 (/ 1 (+ (exp (- t)) 1)))
32.0ms	(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (- s))))))) (* (* 1/8 t) (* t c_p))) (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n))

series473.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n)
68.0ms	(* c_n (log (- 1 (/ 1 (+ 1 (exp (- s)))))))
27.0ms	(- 1 (/ 1 (+ (exp (- t)) 1)))
298.0ms	(- (+ (* c_n (log (- 1 (/ 1 (+ 1 (exp (- s))))))) (* (* 1/8 t) (* t c_p))) (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1883
1	572
0	257

prune650.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes288.0ms

bsearch4.3s

Steps

Iters	Range		Point
7	3.0477940154797706e-17	7.638950086437275e-16	4.3160537752933593e-16

simplify19.0ms

Iterations

Iter	Nodes
done	84
3	84
2	82
1	80
0	56

end0.0ms

sample2.0m

Algorithm

intervals

Results

2.0m	8684×	body	10240	exit
418.0ms	9335×	pre	80	true
147.0ms	635×	body	80	valid
12.0ms	2×	body	5120	valid
7.0ms	3×	body	1280	valid
3.0ms	3×	body	640	valid
3.0ms	1×	body	2560	valid
2.0ms	5×	body	160	valid
2.0ms	2×	body	320	valid