Details

sample46.0s

Algorithm

intervals

Results

45.2s	3021×	body	10240	exit
376.0ms	248×	body	80	valid
238.0ms	3277×	pre	80	true
6.0ms	3×	body	1280	valid
6.0ms	2×	body	2560	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	320	valid

simplify554.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2041
3	743
2	143
1	54
0	22

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1 (/ 1 (+ 1 (exp (- t)))))
1.2b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.2b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
2.2b	(/ (* (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)))

rewrite201.0ms

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:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
12.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
136.0ms	(/ (* (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)))

series914.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
56.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
57.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
772.0ms	(/ (* (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)))

simplify734.0ms

Counts

488 → 488

Iterations

Iter	Nodes
done	2003
1	1461
0	451

prune709.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
1.3b	(log (/ 1 (+ 1 (exp (- s)))))
1.3b	(log (/ 1 (+ 1 (exp (- t)))))
8.6b	(- (+ (* (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)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
6.0ms	(log (/ 1 (+ 1 (exp (- t)))))
51.0ms	(- (+ (* (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)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
54.0ms	(log (/ 1 (+ 1 (exp (- s)))))
56.0ms	(log (/ 1 (+ 1 (exp (- t)))))
302.0ms	(- (+ (* (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)))

simplify638.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	2000
1	777
0	310

prune747.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
1.3b	(log (/ 1 (+ 1 (exp (- s)))))
8.6b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
7.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
80.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
81.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
57.0ms	(log (/ 1 (+ 1 (exp (- s)))))
372.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* 1/2 t) (- (log 1/2) (* (* t t) 1/8))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify840.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
1	714
0	277

prune746.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (* c_n s))
0.0b	(* 1/2 (* c_p s))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

2 → 38

Calls

2 calls:

13.0ms	(* 1/2 (* c_n s))
15.0ms	(* 1/2 (* c_p s))

series40.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 1/2 (* c_n s))
20.0ms	(* 1/2 (* c_p s))

simplify546.0ms

Counts

44 → 44

Iterations

Iter	Nodes
done	2000
3	1635
2	488
1	162
0	62

prune110.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes255.0ms

bsearch1.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	67
1	67
0	46

end0.0ms

sample8.6m

Algorithm

intervals

Results

8.5m	37996×	body	10240	exit
2.3s	41001×	pre	80	true
642.0ms	2909×	body	80	valid
79.0ms	7×	body	5120	valid
43.0ms	20×	body	1280	valid
20.0ms	18×	body	640	valid
18.0ms	6×	body	2560	valid
16.0ms	36×	body	160	valid
6.0ms	9×	body	320	valid