Details

sample41.6s

Algorithm

intervals

Results

41.3s	3211×	body	10240	exit
65.0ms	3468×	pre	80	true
21.0ms	250×	body	80	valid
2.0ms	2×	body	1280	valid
1.0ms	4×	body	160	valid
1.0ms	1×	body	640	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: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.2b	(/ (* (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)))

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

556×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
249×	`div-exp`
184×	`pow-to-exp`
97×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
62×	`times-frac`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
6×	`pow1` `pow-unpow` `div-inv` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-pow` `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 → 332

Calls

4 calls:

37.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
159.0ms	(/ (* (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)))

series712.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
65.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
60.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
542.0ms	(/ (* (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)))

simplify127.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1281	8124
1	4380	7090
2	5001	7090

prune757.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

16.0ms

(* 0.5 (* s c_n))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(* 0.5 (* s c_n))

simplify72.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1234	62
3	3438	62
4	5002	62

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.5b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-exp-log`
145×	`*-un-lft-identity`
109×	`add-sqr-sqrt`
108×	`prod-diff`
99×	`add-cube-cbrt`
87×	`times-frac` `prod-exp`
65×	`div-exp`
55×	`pow-exp`
42×	`pow-to-exp`
21×	`distribute-lft-out`
18×	`unpow-prod-down`
16×	`add-cbrt-cube`
14×	`associate-/r/`
8×	`div-inv` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`fma-neg`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares`
3×	`pow-unpow`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-pow` `frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 254

Calls

4 calls:

38.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
38.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
18.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
141.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
42.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
62.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
634.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (fma (log 0.5) c_p (fma 0.5 (* t c_p) 1)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify74.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1441	6977
1	5002	5446

prune747.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (pow (log 0.5) 2) (pow c_p 2))
1.0b	(pow (log 0.5) 2)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`unpow-prod-down`
16×	`unswap-sqr`
15×	`add-exp-log`
11×	`unpow2` `sqr-pow`
9×	`associate-l` `prod-exp`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`pow-to-exp` `pow-exp`
5×	`pow1`
4×	`add-cbrt-cube`
3×	`pow-unpow`
2×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
1×	`pow-pow` `pow-prod-down` `*-commutative` `cbrt-unprod`

Counts

2 → 75

Calls

2 calls:

20.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
3.0ms	(pow (log 0.5) 2)

series150.0ms

Counts

2 → 4

Calls

2 calls:

149.0ms	(* (pow (log 0.5) 2) (pow c_p 2))
0.0ms	(pow (log 0.5) 2)

simplify178.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	206	405
1	818	338
2	4725	332
3	5001	332

prune151.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes288.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms

sample5.0m

Algorithm

intervals

Results

5.0m	24468×	body	10240	exit
471.0ms	26383×	pre	80	true
154.0ms	1861×	body	80	valid
18.0ms	3×	body	5120	valid
16.0ms	11×	body	1280	valid
10.0ms	12×	body	640	valid
5.0ms	21×	body	160	valid
5.0ms	2×	body	2560	valid
2.0ms	5×	body	320	valid