Details

sample40.1s

Algorithm

intervals

Results

39.8s	3188×	body	10240	exit
80.0ms	3446×	pre	80	true
28.0ms	247×	body	80	valid
7.0ms	1×	body	5120	valid
4.0ms	2×	body	1280	valid
3.0ms	1×	body	2560	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid

simplify25.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.2b	(/ (* (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)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

8.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
12.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
93.0ms	(/ (* (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)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
67.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
67.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
569.0ms	(/ (* (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)))

simplify102.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	966	6045
1	3251	5797
2	5003	5797

prune507.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

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_p))
6.0ms	(* 0.5 (* s c_n))

series40.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* 0.5 (* s c_p))
19.0ms	(* 0.5 (* s c_n))

simplify54.0ms

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

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.2b	(* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))
1.7b	(/ (* (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)))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
8.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
146.0ms	(* (+ (* 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)))

series1.0s

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
100.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
136.0ms	(* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n))
700.0ms	(/ (* (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)))

simplify113.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	956	3201
1	4378	2903
2	5002	2903

prune512.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
27×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`unpow-prod-down`
17×	`add-cube-cbrt` `div-exp`
16×	`times-frac`
13×	`prod-exp`
12×	`pow-exp`
11×	`add-cbrt-cube`
8×	`pow1` `pow-to-exp`
6×	`add-log-exp`
4×	`associate-r` `associate-l` `associate-/r/` `distribute-lft-out`
3×	`pow-unpow` `flip3-+` `associate-/r*` `flip-+`
2×	`cbrt-undiv` `associate-*r/` `cbrt-unprod` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `log-pow` `-commutative` `flip--` `associate-/l` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

17.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
50.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (+ 1 (* (log 0.5) (+ c_p c_n))))
9.0ms	(* (log 0.5) (+ c_p c_n))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series737.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
537.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (+ 1 (* (log 0.5) (+ c_p c_n))))
80.0ms	(* (log 0.5) (+ c_p c_n))
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify67.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	645	1346
1	2741	1225
2	5002	1224

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes165.0ms

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	25
1	46	25

end0.0ms

sample6.1m

Algorithm

intervals

Results

6.1m	29561×	body	10240	exit
647.0ms	31815×	pre	80	true
187.0ms	2176×	body	80	valid
86.0ms	7×	body	5120	valid
28.0ms	16×	body	1280	valid
14.0ms	19×	body	640	valid
7.0ms	3×	body	2560	valid
6.0ms	25×	body	160	valid
3.0ms	8×	body	320	valid