Details

sample43.7s

Algorithm

intervals

Results

43.3s	3124×	body	10240	exit
154.0ms	3380×	pre	80	true
30.0ms	250×	body	80	valid
8.0ms	1×	body	5120	valid
6.0ms	3×	body	1280	valid
3.0ms	1×	body	2560	valid
1.0ms	1×	body	640	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b	(/ (* (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)))

rewrite210.0ms

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`
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 → 267

Calls

4 calls:

26.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
17.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
136.0ms	(/ (* (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)))

series836.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
76.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
635.0ms	(/ (* (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)))

simplify2.0s

Counts

279 → 279

Iterations

Iter	Nodes
done	5030
2	3021
1	1139
0	366

prune700.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.6b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
1.6b	(log (/ 1.0 (+ 1.0 (exp (- t)))))
9.8b	(- (+ (* (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)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`times-frac`
22×	`add-cube-cbrt`
16×	`add-log-exp`
12×	`add-exp-log`
9×	`pow1`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
4×	`sum-log` `diff-log` `rem-log-exp` `associate-l` `associate-/r/` `frac-sub`
3×	`associate-r` `log-pow`
2×	`log-div` `div-exp` `div-inv`
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 → 100

Calls

4 calls:

6.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
8.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
43.0ms	(- (+ (* (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)))

series659.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
73.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(log (/ 1.0 (+ 1.0 (exp (- t)))))
384.0ms	(- (+ (* (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)))

simplify2.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	2519
1	811
0	328

prune812.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
0.2b	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.6b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
10.0b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
6.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)
132.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
74.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
458.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))) c_n)) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify2.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	2405
1	742
0	289

prune791.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize107.0ms

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 0.5))
0.6b	(log (/ 1.0 (+ 1.0 (exp (- s)))))
10.0b	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (- (- (* c_n (log 0.5)) (* 0.125 (* s (* s c_n)))) (* (* 0.5 s) c_n))) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

6.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
6.0ms	(* c_n (log 0.5))
7.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
388.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (- (- (* c_n (log 0.5)) (* 0.125 (* s (* s c_n)))) (* (* 0.5 s) c_n))) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

series722.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
165.0ms	(* c_n (log 0.5))
73.0ms	(log (/ 1.0 (+ 1.0 (exp (- s)))))
353.0ms	(- (+ (* (log (/ 1.0 (+ 1.0 (exp (- s))))) c_p) (- (- (* c_n (log 0.5)) (* 0.125 (* s (* s c_n)))) (* (* 0.5 s) c_n))) (+ (* (+ (* 0.5 t) (- (log 0.5) (* 0.03125 (* (/ t 0.5) (/ t 0.5))))) c_p) (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))

simplify2.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5006
2	2573
1	759
0	305

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

simplify10.0ms

Iterations

Iter	Nodes
done	58
1	58
0	41

end0.0ms

sample4.1m

Algorithm

intervals

Results

4.1m	19517×	body	10240	exit
1.1s	21006×	pre	80	true
198.0ms	1449×	body	80	valid
29.0ms	14×	body	1280	valid
8.0ms	9×	body	640	valid
8.0ms	2×	body	2560	valid
7.0ms	1×	body	5120	valid
3.0ms	10×	body	160	valid
2.0ms	4×	body	320	valid