Details

Time bar (total: 2.9m)

sample46.4s

Algorithm
intervals
Results
45.8s3330×body10240exit
387.0ms3586×pre80true
29.0ms252×body80valid
4.0ms2×body1280valid
1.0ms1×body640valid
0.0ms1×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0221425
1531425
21471425
38471425
done50011425

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- t))))
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.5b
(/ (* (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)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
558×add-exp-log
312×prod-exp
264×pow-exp
250×div-exp
184×pow-to-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
6×pow1 pow-unpow associate-/r/
5×cbrt-undiv associate-/r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×clear-num pow-pow frac-2neg sqr-pow
Counts
4 → 293
Calls
4 calls:
13.0ms
(/ 1.0 (+ 1.0 (exp (- t))))
16.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
134.0ms
(/ (* (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)))

series781.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1.0 (+ 1.0 (exp (- t))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
610.0ms
(/ (* (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)))

simplify2.6s

Counts
305 → 305
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0366311909
11223254997
24460250923
done5000250811

prune817.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* c_n s))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
12.0ms
(* 0.5 (* c_n s))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* 0.5 (* c_n s))

simplify1.9s

Counts
23 → 23
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0373315
1873105
23052865
312632865
done50012865

prune100.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize75.0ms

Local error

Found 4 expressions with local error:

1.2b
(log (/ 1.0 (+ 1.0 (exp (- s)))))
1.5b
(log (/ 1.0 (+ 1.0 (exp (- t)))))
9.9b
(- (* (log (- 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)))
33.0b
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* (log (- 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))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
33×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
10×add-exp-log
6×pow1 distribute-lft-out add-log-exp
4×expm1-log1p-u add-cbrt-cube rem-log-exp associate-/r/ log1p-expm1-u
3×prod-diff
2×log-div flip3-+ div-exp log-pow flip-+ fma-udef div-inv
1×sub-neg flip3-- fma-neg diff-log flip-- associate--r+
Counts
4 → 91
Calls
4 calls:
10.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
7.0ms
(- (* (log (- 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)))
0.0ms
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* (log (- 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))))

series880.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
73.0ms
(log (/ 1.0 (+ 1.0 (exp (- t)))))
380.0ms
(- (* (log (- 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)))
356.0ms
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* (log (- 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))))

simplify1.5s

Counts
103 → 103
Iterations

Useful iterations: done (1.5s)

IterNodesCost
028966410
162062860
2197261551
done500060006

prune713.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (- s)))
0.2b
(fma c_p (log 0.5) (* 0.5 (* c_n s)))
1.2b
(log (/ 1.0 (+ 1.0 (exp (- s)))))
41.9b
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* 0.5 (* t c_n)) (fma c_p (log 0.5) (* 0.5 (* c_n s)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
7×add-exp-log
6×add-log-exp
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u distribute-lft-out
3×fma-def
2×flip3-+ rem-log-exp associate-/r/ flip-+ fma-udef
1×+-commutative log-div sum-log div-exp log-pow div-inv
Counts
4 → 68
Calls
4 calls:
7.0ms
(+ 1.0 (exp (- s)))
0.0ms
(fma c_p (log 0.5) (* 0.5 (* c_n s)))
12.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
0.0ms
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* 0.5 (* t c_n)) (fma c_p (log 0.5) (* 0.5 (* c_n s)))))

series344.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ 1.0 (exp (- s)))
95.0ms
(fma c_p (log 0.5) (* 0.5 (* c_n s)))
70.0ms
(log (/ 1.0 (+ 1.0 (exp (- s)))))
168.0ms
(fma c_p (log (/ 1.0 (+ 1.0 (exp (- s))))) (- (* 0.5 (* t c_n)) (fma c_p (log 0.5) (* 0.5 (* c_n s)))))

simplify829.0ms

Counts
80 → 80
Iterations

Useful iterations: done (820.0ms)

IterNodesCost
015531548
131929499
295629306
done500029065

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes972.0ms

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0462544
1562544
done562544

end0.0ms

sample1.9m

Algorithm
intervals
Results
1.9m8880×body10240exit
540.0ms9565×pre80true
70.0ms672×body80valid
6.0ms3×body1280valid
3.0ms3×body640valid
2.0ms6×body160valid
1.0ms1×body320valid