Details

sample43.3s

Algorithm

intervals

Results

43.0s	3358×	body	10240	exit
63.0ms	3614×	pre	80	true
21.0ms	250×	body	80	valid
5.0ms	1×	body	5120	valid
3.0ms	2×	body	1280	valid
1.0ms	3×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
1.9b	(/ (* (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)))

rewrite247.0ms

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×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r` `flip--` `associate-/l` `distribute-lft-out--`

Counts

4 → 267

Calls

4 calls:

18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
29.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
162.0ms	(/ (* (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)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
45.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
61.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
547.0ms	(/ (* (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)))

simplify96.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	976	5948
1	3142	5704
2	5001	5704

prune429.0ms

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

rewrite33.0ms

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:

17.0ms	(* 0.5 (* s c_p))
14.0ms	(* 0.5 (* s c_n))

series33.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* 0.5 (* s c_p))
17.0ms	(* 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

prune68.0ms

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	(* c_p (+ (log 0.5) (* 0.5 t)))
0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(/ (* (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)))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
88×	`prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`unpow-prod-down` `add-cbrt-cube`
15×	`add-cube-cbrt`
14×	`times-frac`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `associate-/r/`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
2×	`associate-r/` `associate-l/` `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` `associate-/r` `-commutative` `flip--` `associate-/l*` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

18.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
28.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
153.0ms	(/ (* (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)))

series975.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
64.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
783.0ms	(/ (* (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)))

simplify101.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	922	2823
1	4079	2572
2	5001	2572

prune415.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* c_p (+ (log 0.5) (* 0.5 s)))
0.1b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b	(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (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)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

18.0ms	(* c_p (+ (log 0.5) (* 0.5 s)))
18.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
28.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
140.0ms	(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (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)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* c_p (+ (log 0.5) (* 0.5 s)))
88.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
41.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
581.0ms	(/ (* (+ 1 (* c_p (+ (log 0.5) (* 0.5 s)))) (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)))

simplify97.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	830	1759
1	3840	1486
2	5001	1486

prune377.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes173.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

sample4.1m

Algorithm

intervals

Results

4.1m	19509×	body	10240	exit
341.0ms	21042×	pre	80	true
125.0ms	1491×	body	80	valid
28.0ms	6×	body	2560	valid
26.0ms	4×	body	5120	valid
22.0ms	15×	body	1280	valid
3.0ms	11×	body	160	valid
3.0ms	4×	body	640	valid
1.0ms	2×	body	320	valid