Details

sample46.7s

Algorithm

intervals

Results

46.2s	3474×	body	10240	exit
231.0ms	3732×	pre	80	true
28.0ms	252×	body	80	valid
5.0ms	3×	body	1280	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify20.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.3b	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.5b	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.9b	(/ (* (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)))

rewrite253.0ms

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:

19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
30.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
19.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
168.0ms	(/ (* (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)))

series835.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
637.0ms	(/ (* (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)))

simplify90.0ms

Counts: 279 → 279

prune470.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

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

series44.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(* 0.5 (* s c_n))
24.0ms	(* 0.5 (* s c_p))

simplify50.0ms

Counts: 42 → 42

prune71.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
27.0b	(cbrt (* 0.5 (* s c_n)))
27.0b	(cbrt (* 0.5 (* s c_n)))
27.0b	(cbrt (* 0.5 (* s c_n)))

rewrite57.0ms

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)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
94.0ms	(cbrt (* 0.5 (* s c_n)))
94.0ms	(cbrt (* 0.5 (* s c_n)))
95.0ms	(cbrt (* 0.5 (* s c_n)))

simplify88.0ms

Counts: 70 → 70

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cbrt (* 0.5 (* s c_n))) 6)
27.0b	(cbrt (* 0.5 (* s c_n)))
27.0b	(cbrt (* 0.5 (* s c_n)))
39.5b	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

rewrite38.0ms

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:

9.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))
8.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series551.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
94.0ms	(cbrt (* 0.5 (* s c_n)))
94.0ms	(cbrt (* 0.5 (* s c_n)))
214.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify30.0ms

Counts: 74 → 74

prune233.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

regimes482.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample7.3m

Algorithm

intervals

Results

7.2m	33600×	body	10240	exit
2.4s	36208×	pre	80	true
422.0ms	2522×	body	80	valid
60.0ms	3×	body	5120	valid
29.0ms	15×	body	1280	valid
21.0ms	8×	body	2560	valid
12.0ms	14×	body	640	valid
10.0ms	34×	body	160	valid
5.0ms	12×	body	320	valid