Details

analyze4.4s

Algorithm: search

sample5.9s

Algorithm

intervals

Results

3.9s	537×	body	5120	exit
773.0ms	285×	body	1280	overflowed
455.0ms	2176×	body	80	overflowed
344.0ms	243×	body	640	overflowed
96.0ms	117×	body	320	overflowed
88.0ms	3684×	pre	80	true
31.0ms	246×	body	80	valid
30.0ms	70×	body	160	overflowed
8.0ms	3×	body	1280	valid
2.0ms	1×	body	2560	valid
2.0ms	5×	body	160	valid
1.0ms	1×	body	320	valid

simplify25.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 4.8b

Counts

2 → 1

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.7b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite148.0ms

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:

17.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
12.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
12.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
72.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
16.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
196.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify104.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	982	5948
1	3157	5704
2	5003	5704

prune292.0ms

Filtered

79 candidates to 279 candidates (-253.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	277	3	280

Merged error: 0.3b

Counts

280 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

4.0ms	(* 0.5 (* s c_p))
4.0ms	(* 0.5 (* s c_n))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 0.5 (* s c_p))
5.0ms	(* 0.5 (* s c_n))

simplify59.0ms

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

prune46.0ms

Filtered

22 candidates to 42 candidates (-90.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.3b

Counts

45 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
0.2b	(* c_p (+ (log 0.5) (* 0.5 t)))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
1.0b	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite65.0ms

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:

9.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
5.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
35.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (neg s)))))
11.0ms	(* c_p (+ (log 0.5) (* 0.5 t)))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p)
205.0ms	(/ (* (pow (/ 1.0 (+ 1.0 (exp (neg s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify110.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	920	2823
1	4062	2572
2	5002	2572

prune259.0ms

Filtered

72 candidates to 153 candidates (-112.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	153	4	157

Merged error: 0.3b

Counts

157 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p)
0.9b	(* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
1.7b	(/ (* (* (pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p) (pow (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

2022×	`add-exp-log`
1574×	`prod-exp`
963×	`pow-exp`
724×	`pow-to-exp`
641×	`div-exp`
102×	`*-un-lft-identity`
96×	`cbrt-prod`
79×	`times-frac`
78×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
27×	`swap-sqr`
25×	`add-cbrt-cube`
21×	`associate-r` `associate-l` `distribute-lft-out`
20×	`pow1`
19×	`unpow-prod-down`
12×	`pow1/3`
10×	`pow-pow` `associate-/r/` `cbrt-unprod`
9×	`unswap-sqr`
6×	`cbrt-undiv` `pow-unpow` `div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow2` `pow-plus` `sqr-pow`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r` `-commutative` `associate-/l*`

Counts

4 → 695

Calls

4 calls:

14.0ms	(pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p)
24.0ms	(* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))))
7.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
47.0ms	(/ (* (* (pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p) (pow (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p)
34.0ms	(* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))))
14.0ms	(pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p)
329.0ms	(/ (* (* (pow (* (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) (cbrt (/ 1.0 (+ 1.0 (exp (neg s)))))) c_p) (pow (cbrt (/ 1.0 (+ 1.0 (exp (neg s))))) c_p)) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (neg t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (neg t))))) c_n)))

simplify186.0ms

Algorithm

egg-herbie

Counts

707 → 707

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1480	24300
1	5001	19087

prune744.0ms

Filtered

123 candidates to 707 candidates (-474.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	707	0	707
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	707	4	711

Merged error: 0.3b

Counts

711 → 4

regimes818.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

analyze4.1s

Algorithm: search

sample9.3s

Algorithm

intervals

Results

6.1s	898×	body	5120	exit
1.3s	494×	body	1280	overflowed
747.0ms	3868×	body	80	overflowed
581.0ms	437×	body	640	overflowed
160.0ms	211×	body	320	overflowed
142.0ms	6461×	pre	80	true
53.0ms	128×	body	160	overflowed
49.0ms	410×	body	80	valid
10.0ms	3×	body	1280	valid
5.0ms	2×	body	2560	valid
2.0ms	7×	body	160	valid
2.0ms	2×	body	320	valid
1.0ms	1×	body	640	valid

Details

analyze4.4s

sample5.9s

simplify25.0ms

prune6.0ms

localize40.0ms

rewrite148.0ms

series233.0ms

simplify104.0ms

prune292.0ms

localize8.0ms

rewrite10.0ms

series9.0ms

simplify59.0ms

prune46.0ms

localize30.0ms

rewrite65.0ms

series237.0ms

simplify110.0ms

prune259.0ms

localize33.0ms

rewrite163.0ms

series421.0ms

simplify186.0ms

prune744.0ms

regimes818.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.1s

sample9.3s

Profiling