Details

Time bar (total: 3.2m)

sample55.9s

Algorithm
intervals
Results
55.5s3463×body10240exit
176.0ms3719×pre80true
50.0ms243×body80valid
12.0ms5×body1280valid
3.0ms7×body160valid
1.0ms1×body320valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
48112
3742
2141
152
022

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 (exp (- s))))
1.0b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
2.2b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
2.9b
(/ (* (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)))

rewrite200.0ms

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:
14.0ms
(/ 1 (+ 1 (exp (- s))))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
13.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
145.0ms
(/ (* (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)))

series684.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 1 (+ 1 (exp (- s))))
61.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
63.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
540.0ms
(/ (* (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)))

simplify1.5s

Counts
513 → 513
Iterations
IterNodes
23541
11071
0440

prune6.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
1.0b
(log (/ 1 (+ 1 (exp (- s)))))
2.2b
(log (/ 1 (+ 1 (exp (- t)))))
6.8b
(- (+ (* (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)))

rewrite84.0ms

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:
8.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
7.0ms
(log (/ 1 (+ 1 (exp (- s)))))
7.0ms
(log (/ 1 (+ 1 (exp (- t)))))
61.0ms
(- (+ (* (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)))

series504.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
56.0ms
(log (/ 1 (+ 1 (exp (- s)))))
58.0ms
(log (/ 1 (+ 1 (exp (- t)))))
316.0ms
(- (+ (* (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)))

simplify866.0ms

Counts
149 → 149
Iterations
IterNodes
22614
1857
0338

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
0.2b
(* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p)
1.0b
(log (/ 1 (+ 1 (exp (- s)))))
7.0b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite92.0ms

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×flip3-+ associate-*r* flip-+
4×expm1-log1p-u sum-log diff-log rem-log-exp log-pow frac-sub insert-posit16 log1p-expm1-u
3×fma-neg distribute-lft-out
2×div-exp pow-prod-down associate-*l/ 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 → 120
Calls
4 calls:
7.0ms
(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
13.0ms
(* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p)
7.0ms
(log (/ 1 (+ 1 (exp (- s)))))
64.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)
63.0ms
(* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p)
54.0ms
(log (/ 1 (+ 1 (exp (- s)))))
387.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (fma t 1/2 (log 1/2)) (* -1/8 (* t t))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.2s

Counts
132 → 132
Iterations
IterNodes
22987
1840
0320

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma 1/2 (* c_p s) 1) (* 1/2 (* s c_n)))
0.0b
(* 1/2 (* s c_n))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×fma-neg associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×sub-neg flip3-- diff-log associate-*r* associate--l+ *-commutative fma-udef flip--
Counts
2 → 43
Calls
2 calls:
6.0ms
(- (fma 1/2 (* c_p s) 1) (* 1/2 (* s c_n)))
13.0ms
(* 1/2 (* s c_n))

series76.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (fma 1/2 (* c_p s) 1) (* 1/2 (* s c_n)))
19.0ms
(* 1/2 (* s c_n))

simplify889.0ms

Counts
49 → 49
Iterations
IterNodes
32839
2629
1206
082

prune352.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes840.0ms

bsearch1.0ms

simplify11.0ms

Iterations
IterNodes
260
160
048

end0.0ms

sample1.9m

Algorithm
intervals
Results
1.9m8138×body10240exit
449.0ms8765×pre80true
436.0ms598×body80valid
19.0ms9×body1280valid
6.0ms15×body160valid
6.0ms1×body5120valid
2.0ms2×body640valid
1.0ms2×body320valid