Details

Time bar (total: 1.2m)

sample46.4s

Algorithm
intervals
Results
46.1s3179×body10240exit
123.0ms3435×pre80true
33.0ms254×body80valid
2.0ms2×body640valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5005
3743
2143
154
022

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 (exp (- s))))
0.7b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
1.2b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
2.4b
(/ (* (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)))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
1196×add-exp-log
692×pow-exp
684×prod-exp
595×div-exp
344×pow-to-exp
117×rec-exp 1-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
9×pow1
6×pow-unpow pow-pow associate-/r/
5×cbrt-undiv associate-/r*
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×flip3-+ flip-+ pow-flip inv-pow
2×clear-num frac-2neg sqr-pow
Counts
4 → 501
Calls
4 calls:
16.0ms
(/ 1 (+ 1 (exp (- s))))
19.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
18.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
213.0ms
(/ (* (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)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1 (+ 1 (exp (- s))))
54.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
55.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
506.0ms
(/ (* (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)))

simplify1.9s

Counts
513 → 513
Iterations
IterNodes
done5015
23625
11209
0440

prune704.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune12.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
0.7b
(log (/ 1 (+ 1 (exp (- s)))))
1.2b
(log (/ 1 (+ 1 (exp (- t)))))
8.6b
(- (+ (* (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)))

rewrite104.0ms

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 insert-posit16 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 → 137
Calls
4 calls:
10.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
9.0ms
(log (/ 1 (+ 1 (exp (- s)))))
9.0ms
(log (/ 1 (+ 1 (exp (- t)))))
72.0ms
(- (+ (* (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)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
54.0ms
(log (/ 1 (+ 1 (exp (- s)))))
55.0ms
(log (/ 1 (+ 1 (exp (- t)))))
294.0ms
(- (+ (* (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)))

simplify1.6s

Counts
149 → 149
Iterations
IterNodes
done5001
22553
1858
0338

prune875.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
0.2b
(* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p)
0.7b
(log (/ 1 (+ 1 (exp (- s)))))
8.6b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite96.0ms

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×pow1 times-frac
9×associate-*l* prod-diff
8×add-cbrt-cube
6×associate-*r* log-pow
5×flip3-+ flip-+
4×expm1-log1p-u sum-log diff-log rem-log-exp frac-sub insert-posit16 log1p-expm1-u
3×fma-neg distribute-lft-out
2×div-exp log-rec pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr
1×distribute-lft-neg-out log-div rec-exp sub-neg flip3-- 1-exp associate--l+ div-inv flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
10.0ms
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
6.0ms
(* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p)
9.0ms
(log (/ 1 (+ 1 (exp (- s)))))
68.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
55.0ms
(* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p)
53.0ms
(log (/ 1 (+ 1 (exp (- s)))))
361.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (fma -1/8 (* t t) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.9s

Counts
133 → 133
Iterations
IterNodes
done5000
22645
1778
0302

prune933.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.1b

regimes237.0ms

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done42
142
032

end0.0ms

sample14.1s

Algorithm
intervals
Results
14.0s1135×body10240exit
33.0ms1224×pre80true
10.0ms86×body80valid
6.0ms1×body5120valid
1.0ms2×body160valid