Details

Time bar (total: 2.1m)

sample58.3s

Algorithm
intervals
Results
57.1s3410×body10240exit
654.0ms3667×pre80true
40.0ms251×body80valid
9.0ms1×body2560valid
6.0ms2×body1280valid
1.0ms1×body320valid
1.0ms2×body160valid

simplify609.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
384743
done500043

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
3.2b
(/ (* (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)))

rewrite288.0ms

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:
41.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
20.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
23.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
180.0ms
(/ (* (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)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
84.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
83.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
716.0ms
(/ (* (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)))

simplify612.0ms

Counts
344 → 344
Iterations

Useful iterations: done (596.0ms)

IterNodesCost
047114274
1150613193
done500011961

prune993.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma 0.5 (* s c_p) 1) (* 0.5 (* s c_n)))
0.0b
(* 0.5 (* s c_n))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×fma-neg associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- diff-log associate-*r* associate--l+ *-commutative flip-- fma-udef
Counts
2 → 41
Calls
2 calls:
7.0ms
(- (fma 0.5 (* s c_p) 1) (* 0.5 (* s c_n)))
20.0ms
(* 0.5 (* s c_n))

series90.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (fma 0.5 (* s c_p) 1) (* 0.5 (* s c_n)))
23.0ms
(* 0.5 (* s c_n))

simplify711.0ms

Counts
47 → 47
Iterations

Useful iterations: done (709.0ms)

IterNodesCost
078600
1198576
2738509
done5000435

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(log (/ 1.0 (+ 1.0 (exp (- t)))))
9.5b
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
10.3b
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-exp-log add-sqr-sqrt
29×add-cube-cbrt
24×times-frac
20×log-prod
18×unpow-prod-down
15×rem-log-exp
12×pow1 prod-diff pow-exp prod-exp
8×pow-to-exp
7×log-pow
6×distribute-lft-out
5×div-exp add-log-exp
4×expm1-log1p-u fma-neg associate-/r/ add-cbrt-cube log1p-expm1-u
3×pow-unpow
2×flip3-+ flip-+ div-inv distribute-lft-out--
1×sub-neg log-div flip3-- pow-pow diff-log associate--l+ flip-- fma-udef associate--r+ difference-of-squares sqr-pow
Counts
4 → 125
Calls
4 calls:
20.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
952.0ms
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
96.0ms
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

series785.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
84.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
389.0ms
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (log (/ 1.0 (+ 1.0 (exp (- t))))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
230.0ms
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

simplify1.2s

Counts
137 → 137
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03035145
17634137
223923781
done50003181

prune881.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.5b
(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
9.5b
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (- (fma t 0.5 (log 0.5)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
10.3b
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
29×add-exp-log add-sqr-sqrt
22×add-cube-cbrt
18×unpow-prod-down
14×rem-log-exp
13×times-frac
12×pow1 prod-diff pow-exp prod-exp
8×pow-to-exp log-prod
7×log-pow
5×add-log-exp
4×expm1-log1p-u fma-neg div-exp add-cbrt-cube log1p-expm1-u
3×pow-unpow distribute-lft-out distribute-lft-out-- difference-of-squares
2×log-div flip3-- associate-/r/ flip--
1×sub-neg pow-pow flip3-+ diff-log associate--l+ flip-+ fma-udef div-inv associate--r+ sqr-pow
Counts
4 → 113
Calls
4 calls:
42.0ms
(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
20.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
956.0ms
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (- (fma t 0.5 (log 0.5)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
94.0ms
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

series1.0s

Counts
4 → 12
Calls
4 calls:
116.0ms
(log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))))
85.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
600.0ms
(- (log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n))) (fma (- (fma t 0.5 (log 0.5)) (* 0.03125 (/ (pow t 2) (pow 0.5 2)))) c_p (* (log (- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))) c_n)))
238.0ms
(log (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)))

simplify1.2s

Counts
125 → 125
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02775711
17064459
222664056
done50013297

prune997.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes1.1s

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03864
14664
done4664

end0.0ms

sample53.2s

Algorithm
intervals
Results
52.2s3781×body10240exit
381.0ms269×body80valid
195.0ms4058×pre80true
7.0ms3×body1280valid
6.0ms1×body2560valid
1.0ms1×body640valid
1.0ms2×body160valid
0.0ms1×body320valid