Details

sample42.4s

Algorithm

intervals

Results

42.1s	3279×	body	10240	exit
77.0ms	3535×	pre	80	true
24.0ms	2×	body	5120	valid
22.0ms	247×	body	80	valid
6.0ms	3×	body	1280	valid
2.0ms	1×	body	2560	valid
1.0ms	2×	body	160	valid
0.0ms	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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize23.0ms

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)
1.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.9b	(/ (* (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)))

rewrite88.0ms

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:

14.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
37.0ms	(/ (* (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)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
67.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
607.0ms	(/ (* (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)))

simplify133.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1281	8124
1	4389	7090
2	5001	7090

prune630.0ms

Filtered

344 candidates to 106 candidates (30.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune18.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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:

11.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
14.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
30.0ms	(/ (* (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)))

series903.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
734.0ms	(/ (* (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)))

simplify75.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1441	6977
1	5002	5446

prune802.0ms

Filtered

266 candidates to 113 candidates (42.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (- t)))
0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
1.5b	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (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)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
108×	`prod-diff`
101×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
75×	`times-frac`
52×	`add-exp-log`
24×	`prod-exp`
19×	`distribute-lft-out`
16×	`div-exp` `add-cbrt-cube`
12×	`associate-/r/`
10×	`add-log-exp`
8×	`pow-to-exp` `pow-exp`
7×	`flip3-+` `flip-+` `div-inv`
6×	`fma-neg`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `difference-of-squares`
3×	`fma-def`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `clear-num` `associate-/r` `sum-log` `associate-/l`

Counts

4 → 200

Calls

4 calls:

4.0ms	(+ 1.0 (exp (- t)))
11.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
11.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
27.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (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)))

series774.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp (- t)))
52.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
47.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
666.0ms	(/ (* (fma (log 0.5) c_p (fma 0.5 (* s c_p) 1)) (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)))

simplify123.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1289	5795
1	4906	3956
2	5001	3956

prune762.0ms

Filtered

212 candidates to 102 candidates (48.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

Details

sample42.4s

simplify24.0ms

prune5.0ms

localize23.0ms

rewrite88.0ms

series796.0ms

simplify133.0ms

prune630.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune18.0ms

localize26.0ms

rewrite77.0ms

series903.0ms

simplify75.0ms

prune802.0ms

localize28.0ms

rewrite64.0ms

series774.0ms

simplify123.0ms

prune762.0ms

regimes296.0ms

bsearch6.1s