Details

sample52.3s

Algorithm

intervals

Results

51.8s	3474×	body	10240	exit
155.0ms	3732×	pre	80	true
62.0ms	252×	body	80	valid
6.0ms	3×	body	1280	valid
1.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify593.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	43
1	53	43
2	147	43
3	839	43
done	5001	43

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize27.0ms

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)))

rewrite283.0ms

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:

21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
40.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
21.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
179.0ms	(/ (* (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)))

series844.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
51.0ms	(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
74.0ms	(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
648.0ms	(/ (* (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)))

simplify1.3s

Counts

344 → 344

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	471	14274
1	1137	13014
2	3189	11812
done	5001	11521

prune565.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 0.5 (* s c_n))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

19.0ms

(* 0.5 (* s c_n))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(* 0.5 (* s c_n))

simplify5.6s

Counts

23 → 23

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	37	166
1	87	163
2	300	133
3	1003	133
4	2173	133
5	4443	133
done	5001	133

prune51.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.3b

localize14.0ms

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)))

rewrite63.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

26.0ms	(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
11.0ms	(cbrt (* 0.5 (* s c_n)))
15.0ms	(cbrt (* 0.5 (* s c_n)))
11.0ms	(cbrt (* 0.5 (* s c_n)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (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)))

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	90	926
1	211	836
2	546	740
3	1447	648
4	4040	606
done	5000	573

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize24.0ms

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)

rewrite36.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`
1×	`unpow1/3`

Counts

4 → 70

Calls

4 calls:

6.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
10.0ms	(cbrt (* 0.5 (* s c_n)))
10.0ms	(cbrt (* 0.5 (* s c_n)))
9.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series555.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(pow (cbrt (* 0.5 (* s c_n))) 6)
96.0ms	(cbrt (* 0.5 (* s c_n)))
96.0ms	(cbrt (* 0.5 (* s c_n)))
219.0ms	(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	114	1012
1	264	900
2	579	796
3	2181	740
done	5000	703

prune282.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

regimes514.0ms

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	72
1	55	72
done	55	72

end0.0ms

sample7.3m

Algorithm

intervals

Results

7.2m	33600×	body	10240	exit
3.1s	36208×	pre	80	true
334.0ms	2522×	body	80	valid
60.0ms	3×	body	5120	valid
55.0ms	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