Details

sample40.5s

Algorithm

intervals

Results

40.3s	3261×	body	10240	exit
80.0ms	3517×	pre	80	true
24.0ms	245×	body	80	valid
4.0ms	5×	body	640	valid
3.0ms	1×	body	1280	valid
2.0ms	1×	body	2560	valid
1.0ms	4×	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: 7.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.4b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

rewrite151.0ms

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	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
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)))

series778.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
66.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
590.0ms	(/ (* (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

279 → 279

Iterations

Useful iterations: 1 (17.0ms)

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

prune452.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
0.0b	(* 0.5 (* s c_p))
0.0b	(* 0.5 (* s c_n))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

3 → 50

Calls

3 calls:

42.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
5.0ms	(* 0.5 (* s c_p))
6.0ms	(* 0.5 (* s c_n))

series94.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (+ (* 0.5 (* s c_p)) 1) (* 0.5 (* s c_n)))
19.0ms	(* 0.5 (* s c_p))
22.0ms	(* 0.5 (* s c_n))

simplify142.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	228	292
1	900	254
2	4892	245
3	5001	245

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

5.0ms	(* 0.5 (* s c_p))
5.0ms	(* 0.5 (* s c_p))
5.0ms	(* 0.5 (* s c_n))
6.0ms	(* 0.5 (* s c_n))

series79.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 0.5 (* s c_p))
20.0ms	(* 0.5 (* s c_p))
19.0ms	(* 0.5 (* s c_n))
22.0ms	(* 0.5 (* s c_n))

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	153	284
1	595	224
2	2373	224
3	5002	224

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 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)
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)))

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)))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
87.0ms	(/ (* (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)))

series911.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
103.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
70.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
712.0ms	(/ (* (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)))

simplify106.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	965	2920
1	4351	2665
2	5001	2665

prune534.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes316.0ms

bsearch1.7s

Steps

Iters	Range		Point
7	-1.414082875184719e-26	-7.437857922401063e-28	-7.639139057981639e-28

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	31
1	52	31

end0.0ms

sample5.3m

Algorithm

intervals

Results

5.3m	25949×	body	10240	exit
625.0ms	27992×	pre	80	true
189.0ms	1976×	body	80	valid
29.0ms	16×	body	1280	valid
10.0ms	12×	body	640	valid
8.0ms	29×	body	160	valid
7.0ms	3×	body	2560	valid
5.0ms	1×	body	5120	valid
2.0ms	6×	body	320	valid