Details

sample48.7s

Algorithm

intervals

Results

48.2s	3061×	body	10240	exit
194.0ms	3318×	pre	80	true
54.0ms	251×	body	80	valid
7.0ms	1×	body	2560	valid
3.0ms	3×	body	640	valid
3.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	8112
3	742
2	141
1	52
0	22

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(- 1 (/ 1 (+ 1 (exp (- t)))))
0.2b	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.7b	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
3.2b	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`add-exp-log`
692×	`pow-exp`
684×	`prod-exp`
593×	`div-exp`
344×	`pow-to-exp`
116×	`rec-exp` `1-exp`
103×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
65×	`times-frac` `add-cube-cbrt`
54×	`prod-diff`
36×	`unpow-prod-down`
16×	`add-cbrt-cube`
15×	`distribute-lft-out`
10×	`associate-/r/`
8×	`pow1`
7×	`div-inv`
6×	`pow-unpow` `pow-pow` `add-log-exp` `difference-of-squares`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-neg`
2×	`pow-flip` `distribute-lft-out--` `inv-pow` `sqr-pow`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l`

Counts

4 → 537

Calls

4 calls:

30.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
11.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
11.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
126.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

series658.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- 1 (/ 1 (+ 1 (exp (- t)))))
56.0ms	(pow (/ 1 (+ 1 (exp (- s)))) c_p)
56.0ms	(pow (/ 1 (+ 1 (exp (- t)))) c_p)
517.0ms	(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

simplify2.1s

Counts

549 → 549

Iterations

Iter	Nodes
2	4262
1	1365
0	551

prune6.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
0.3b	(log (/ 1 (+ 1 (exp (- s)))))
0.8b	(log (/ 1 (+ 1 (exp (- t)))))
11.4b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
36×	`log-prod`
33×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
24×	`times-frac`
16×	`add-exp-log` `add-log-exp`
12×	`pow1`
9×	`prod-diff` `log-pow`
8×	`rem-log-exp`
6×	`flip3-+` `add-cbrt-cube` `associate-l` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `sum-log` `diff-log` `div-exp` `associate-/r/` `frac-sub` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `log-rec` `pow-flip` `inv-pow`
2×	`log-div` `rec-exp` `1-exp` `div-inv`
1×	`distribute-lft-neg-out` `sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

7.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
6.0ms	(log (/ 1 (+ 1 (exp (- t)))))
53.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
54.0ms	(log (/ 1 (+ 1 (exp (- s)))))
57.0ms	(log (/ 1 (+ 1 (exp (- t)))))
305.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (log (/ 1 (+ 1 (exp (- t))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify859.0ms

Counts

145 → 145

Iterations

Iter	Nodes
2	2628
1	853
0	334

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
0.3b	(* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p)
0.3b	(log (/ 1 (+ 1 (exp (- s)))))
11.4b	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`log-prod`
16×	`add-log-exp`
13×	`add-exp-log`
12×	`times-frac`
11×	`pow1`
9×	`prod-diff`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `sum-log` `diff-log` `rem-log-exp` `log-pow` `frac-sub` `log1p-expm1-u`
3×	`fma-neg` `distribute-lft-out`
2×	`div-exp` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`log-div` `rec-exp` `sub-neg` `flip3--` `1-exp` `log-rec` `associate--l+` `div-inv` `pow-flip` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

6.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
5.0ms	(* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p)
6.0ms	(log (/ 1 (+ 1 (exp (- s)))))
49.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)
61.0ms	(* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p)
53.0ms	(log (/ 1 (+ 1 (exp (- s)))))
375.0ms	(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma 1/2 t (+ (log 1/2) (* -1/8 (* t t)))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.1s

Counts

126 → 126

Iterations

Iter	Nodes
2	2670
1	788
0	308

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes301.0ms

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	43
1	43
0	33

end0.0ms

sample8.8m

Algorithm

intervals

Results

8.8m	39181×	body	10240	exit
2.1s	42234×	pre	80	true
632.0ms	2956×	body	80	valid
45.0ms	22×	body	1280	valid
44.0ms	11×	body	2560	valid
19.0ms	17×	body	640	valid
14.0ms	32×	body	160	valid
13.0ms	2×	body	5120	valid
8.0ms	12×	body	320	valid