Details

sample43.9s

Algorithm

intervals

Results

43.6s	3410×	body	10240	exit
72.0ms	3666×	pre	80	true
21.0ms	250×	body	80	valid
5.0ms	1×	body	5120	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	640	valid
0.0ms	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (+ 1.0 (exp (- t))))
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.7b	(/ (* (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)))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

558×	`add-exp-log`
312×	`prod-exp`
264×	`pow-exp`
250×	`div-exp`
184×	`pow-to-exp`
51×	`*-un-lft-identity`
37×	`times-frac`
36×	`unpow-prod-down`
31×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`add-cbrt-cube`
10×	`distribute-lft-out`
6×	`pow1` `pow-unpow` `associate-/r/`
5×	`cbrt-undiv` `associate-/r*`
4×	`cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 285

Calls

4 calls:

17.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
164.0ms	(/ (* (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)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1.0 (+ 1.0 (exp (- t))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
624.0ms	(/ (* (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)))

simplify105.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	966	6045
1	3251	5797
2	5003	5797

prune513.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

18.0ms	(* 0.5 (* s c_p))
15.0ms	(* 0.5 (* s c_n))

series38.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* 0.5 (* s c_p))
19.0ms	(* 0.5 (* s c_n))

simplify56.0ms

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

prune76.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.8b	(cbrt (* 0.5 (* s c_n)))
25.8b	(cbrt (* 0.5 (* s c_n)))
25.8b	(cbrt (* 0.5 (* s c_n)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

26.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
91.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))

simplify95.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	205	441
1	703	390
2	3412	330
3	5001	323

prune226.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (fabs (cbrt (* 0.5 (* s c_n)))) (fabs (cbrt (* 0.5 (* s c_n)))))
25.8b	(cbrt (* 0.5 (* s c_n)))
25.8b	(cbrt (* 0.5 (* s c_n)))
25.8b	(cbrt (* 0.5 (* s c_n)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 52

Calls

4 calls:

7.0ms	(* (fabs (cbrt (* 0.5 (* s c_n)))) (fabs (cbrt (* 0.5 (* s c_n)))))
13.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (fabs (cbrt (* 0.5 (* s c_n)))) (fabs (cbrt (* 0.5 (* s c_n)))))
92.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))
92.0ms	(cbrt (* 0.5 (* s c_n)))

simplify54.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	151	470
1	409	392
2	1681	333
3	5001	324

prune187.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

regimes480.0ms

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample56.3s

Algorithm

intervals

Results

55.9s	4420×	body	10240	exit
84.0ms	4742×	pre	80	true
26.0ms	314×	body	80	valid
11.0ms	2×	body	5120	valid
1.0ms	1×	body	1280	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid