Details

sample55.3s

Algorithm

intervals

Results

54.8s	3540×	body	10240	exit
209.0ms	3796×	pre	80	true
33.0ms	246×	body	80	valid
7.0ms	3×	body	1280	valid
3.0ms	1×	body	2560	valid
2.0ms	2×	body	640	valid
2.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.9b	(/ (* (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)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

557×	`add-exp-log`
312×	`prod-exp`
265×	`pow-exp`
249×	`div-exp`
185×	`pow-to-exp`
42×	`unpow-prod-down`
38×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-cbrt-cube`
9×	`pow-unpow`
7×	`pow1`
6×	`distribute-lft-out`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-pow` `div-inv` `sqr-pow`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-/l` `distribute-lft-out--`

Counts

4 → 272

Calls

4 calls:

48.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
141.0ms	(/ (* (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)))

series864.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
626.0ms	(/ (* (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

284 → 284

Iterations

Iter	Nodes
done	5042
2	3097
1	1168
0	370

prune939.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
0.2b	(* c_p (log 0.5))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
56×	`pow-exp`
43×	`pow-to-exp`
27×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`unpow-prod-down`
19×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`times-frac`
9×	`pow1`
6×	`pow-unpow` `log-prod`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-r` `associate-/r/` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `distribute-lft-out`
2×	`pow-pow` `flip3-+` `associate-*l/` `flip-+` `div-inv` `difference-of-squares` `sqr-pow`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `log-pow` `-commutative` `associate-/l*` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

47.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
7.0ms	(* c_p (log 0.5))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
143.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

95.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
166.0ms	(* c_p (log 0.5))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
754.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify2.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5003
2	3707
1	1022
0	342

prune777.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- s))))
0.2b	(* c_p (log 0.5))
0.2b	(* c_n (log 0.5))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
24×	`times-frac`
18×	`unpow-prod-down`
13×	`add-exp-log`
12×	`log-prod`
11×	`pow1`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`distribute-lft-out`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`associate-/r*` `associate-/r/` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `pow-pow` `frac-2neg` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

14.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
11.0ms	(* c_p (log 0.5))
7.0ms	(* c_n (log 0.5))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series465.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1.0 (+ 1.0 (exp (- s))))
178.0ms	(* c_p (log 0.5))
180.0ms	(* c_n (log 0.5))
79.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify1.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
3	4424
2	1373
1	553
0	207

prune726.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
0.2b	(* c_p (log 0.5))
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.2b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

rewrite476.0ms

Algorithm

rewrite-expression-head

Rules

553×	`add-exp-log`
380×	`prod-exp`
191×	`pow-exp`
177×	`div-exp`
157×	`pow-to-exp`
28×	`*-un-lft-identity`
27×	`add-sqr-sqrt` `unpow-prod-down` `add-cbrt-cube`
20×	`add-cube-cbrt`
14×	`times-frac`
10×	`pow1` `cbrt-unprod`
6×	`cbrt-undiv` `pow-unpow` `log-prod` `sqrt-prod`
4×	`pow-pow` `associate-r` `associate-/r/` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `distribute-lft-out`
2×	`flip3-+` `associate-*l/` `flip-+` `div-inv` `difference-of-squares` `sqr-pow`
1×	`clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `log-pow` `-commutative` `sqrt-pow2` `associate-/l*` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 248

Calls

4 calls:

48.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
6.0ms	(* c_p (log 0.5))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
392.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

series1.2s

Counts

4 → 12

Calls

4 calls:

154.0ms	(pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)
171.0ms	(* c_p (log 0.5))
75.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
829.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* 0.5 (* t c_p)) (+ (* c_p (log 0.5)) 1)) (* (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n) (pow (sqrt (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n))))

simplify2.6s

Counts

260 → 260

Iterations

Iter	Nodes
done	5227
2	4320
1	1191
0	396

prune835.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes737.0ms

bsearch1.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	71
1	71
0	50

end0.0ms

sample6.5m

Algorithm

intervals

Results

6.5m	30071×	body	10240	exit
2.0s	32421×	pre	80	true
288.0ms	2274×	body	80	valid
43.0ms	7×	body	2560	valid
25.0ms	4×	body	5120	valid
22.0ms	12×	body	1280	valid
19.0ms	23×	body	640	valid
7.0ms	25×	body	160	valid
2.0ms	5×	body	320	valid