Details

sample38.5s

Algorithm

intervals

Results

38.2s	2836×	body	10240	exit
146.0ms	3092×	pre	80	true
39.0ms	253×	body	80	valid
2.0ms	1×	body	1280	valid
1.0ms	2×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	25
1	147	25
2	850	25
3	5001	25

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.7b	(/ (* (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)))

rewrite163.0ms

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×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `distribute-lft-out--`

Counts

4 → 272

Calls

4 calls:

34.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
92.0ms	(/ (* (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)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
17.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
207.0ms	(/ (* (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)))

simplify103.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	980	5999
1	3241	5759
2	5001	5759

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* s c_n))
0.0b	(* 0.5 (* s c_p))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(* 0.5 (* s c_n))
5.0ms	(* 0.5 (* s c_p))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 0.5 (* s c_n))
4.0ms	(* 0.5 (* s c_p))

simplify55.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	153	142
1	595	112
2	2373	112
3	5002	112

prune204.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
0.3b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

32.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
10.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
84.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)
9.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
239.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify107.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	929	2874
1	4208	2627
2	5002	2627

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
1.5b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

493×	`add-exp-log`
261×	`prod-exp`
193×	`div-exp`
161×	`pow-exp`
124×	`pow-to-exp`
40×	`add-cbrt-cube`
19×	`*-un-lft-identity`
18×	`unpow-prod-down`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-undiv` `cbrt-unprod`
8×	`associate-/r/`
6×	`associate-*l/`
5×	`pow1`
4×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `clear-num` `associate-/r` `distribute-lft-out` `associate-/l`
1×	`pow-pow` `sqr-pow`

Counts

4 → 246

Calls

4 calls:

12.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
84.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
85.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
86.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
237.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
236.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))
240.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify118.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	746	6884
1	3407	6210
2	5002	6210

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes943.0ms

bsearch3.8s

Steps

Iters	Range		Point
6	-3.444845483985724e-119	-2.422812615369833e-120	-2.469112325337647e-120

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	86
1	56	86

end0.0ms

sample4.0m

Algorithm

intervals

Results

4.0m	18376×	body	10240	exit
867.0ms	19848×	pre	80	true
215.0ms	1429×	body	80	valid
19.0ms	10×	body	1280	valid
11.0ms	12×	body	640	valid
10.0ms	3×	body	2560	valid
5.0ms	13×	body	160	valid
3.0ms	5×	body	320	valid