Details

sample14.9s

Algorithm

intervals

Results

14.1s	1586×	body	10240	exit
394.0ms	1735×	body	80	overflowed
102.0ms	3577×	pre	80	true
51.0ms	247×	body	80	valid
9.0ms	1×	body	5120	valid
7.0ms	3×	body	1280	valid
2.0ms	2×	body	640	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	320	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ 1.0 (exp (- t))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
3.4b	(/ (* (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)))

rewrite144.0ms

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 (- t)))) c_p)
11.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
95.0ms	(/ (* (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)))

series743.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
68.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
66.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
580.0ms	(/ (* (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)))

simplify99.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (16.0ms)

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

prune504.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

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))
6.0ms	(* 0.5 (* s c_p))

series38.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* 0.5 (* s c_n))
20.0ms	(* 0.5 (* s c_p))

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

prune76.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

173×	`add-exp-log`
88×	`prod-exp`
66×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
38×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube`
18×	`unpow-prod-down`
7×	`pow1` `distribute-lft-out`
6×	`associate-/r/`
5×	`cbrt-undiv` `associate-/r*` `cbrt-unprod`
4×	`flip3-+` `flip-+` `associate-/l*` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `div-inv`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow-prod-down` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 159

Calls

4 calls:

8.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
8.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
88.0ms	(/ (* (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)))
11.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series888.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
98.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
695.0ms	(/ (* (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)))
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify107.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	965	2920
1	4353	2665
2	5001	2665

prune517.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.3b	(cbrt (pow (/ (* (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))) 3))
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)))
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
25×	`unpow-prod-down`
24×	`*-un-lft-identity`
20×	`cbrt-prod` `add-sqr-sqrt`
18×	`add-cube-cbrt` `add-cbrt-cube`
15×	`times-frac`
8×	`associate-/r/`
7×	`pow1` `cube-prod`
6×	`associate-*l/`
5×	`flip3-+` `cbrt-unprod` `flip-+`
4×	`cbrt-undiv` `div-inv` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `distribute-lft-out`
2×	`associate-*r/` `sqr-pow`
1×	`cube-div` `distribute-rgt-in` `cube-mult` `cbrt-div` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `unpow3` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `rem-cbrt-cube` `associate-/l*` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

8.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
8.0ms	(cbrt (pow (/ (* (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))) 3))
88.0ms	(/ (* (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)))
11.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

series1.6s

Counts

4 → 12

Calls

4 calls:

98.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
705.0ms	(cbrt (pow (/ (* (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))) 3))
696.0ms	(/ (* (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)))
69.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)

simplify126.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	981	3781
1	4821	3695
2	5001	3695

prune508.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

regimes216.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	89
1	66	89

end0.0ms

sample1.5m

Algorithm

intervals

Results

1.4m	9620×	body	10240	exit
2.3s	10552×	body	80	overflowed
550.0ms	21746×	pre	80	true
306.0ms	1518×	body	80	valid
31.0ms	13×	body	1280	valid
23.0ms	3×	body	5120	valid
13.0ms	12×	body	640	valid
10.0ms	22×	body	160	valid
9.0ms	3×	body	2560	valid
2.0ms	3×	body	320	valid