Details

sample15.6s

Algorithm

intervals

Results

15.0s	1597×	body	10240	exit
274.0ms	1730×	body	80	overflowed
87.0ms	3583×	pre	80	true
37.0ms	239×	body	80	valid
16.0ms	1×	body	5120	valid
5.0ms	2×	body	2560	valid
3.0ms	3×	body	640	valid
3.0ms	8×	body	160	valid
2.0ms	3×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.0b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.2b	(/ (* (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)))

rewrite144.0ms

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:

16.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
10.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
12.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
90.0ms	(/ (* (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)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
67.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
68.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
572.0ms	(/ (* (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)))

simplify100.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (17.0ms)

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

prune427.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

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

series39.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* 0.5 (* s c_p))
19.0ms	(* 0.5 (* s c_n))

simplify55.0ms

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

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
26.2b	(cbrt (* 0.5 (* s c_n)))
26.2b	(cbrt (* 0.5 (* s c_n)))
26.2b	(cbrt (* 0.5 (* s c_n)))

rewrite20.0ms

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:

7.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
90.0ms	(cbrt (* 0.5 (* s c_n)))
89.0ms	(cbrt (* 0.5 (* s c_n)))
88.0ms	(cbrt (* 0.5 (* s c_n)))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (88.0ms)

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

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cbrt (* 0.5 (* s c_n))) 6)
26.2b	(cbrt (* 0.5 (* s c_n)))
26.2b	(cbrt (* 0.5 (* s c_n)))
45.7b	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`unpow-prod-down`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp`
4×	`cbrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 62

Calls

4 calls:

2.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
4.0ms	(cbrt (* 0.5 (* s c_n)))
4.0ms	(cbrt (* 0.5 (* s c_n)))
3.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series529.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
89.0ms	(cbrt (* 0.5 (* s c_n)))
89.0ms	(cbrt (* 0.5 (* s c_n)))
208.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify34.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	254	456
1	869	410
2	5002	362

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes337.0ms

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	41
1	56	41

end0.0ms

sample2.5m

Algorithm

intervals

Results

2.4m	16480×	body	10240	exit
2.8s	18182×	body	80	overflowed
838.0ms	37333×	pre	80	true
380.0ms	2573×	body	80	valid
88.0ms	6×	body	5120	valid
41.0ms	19×	body	1280	valid
22.0ms	22×	body	640	valid
13.0ms	34×	body	160	valid
8.0ms	3×	body	2560	valid
8.0ms	14×	body	320	valid