Details

Time bar (total: 10.0m)

sample46.0s

Algorithm
intervals
Results
45.6s2944×body10240exit
200.0ms3201×pre80true
56.0ms254×body80valid
5.0ms2×body1280valid
1.0ms1×body320valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
48128
3743
2143
154
022

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1 (exp (- s))))
0.5b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.7b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
1.7b
(/ (* (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)))

rewrite195.0ms

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:
12.0ms
(/ 1 (+ 1 (exp (- s))))
12.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
12.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
142.0ms
(/ (* (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)))

series700.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (+ 1 (exp (- s))))
61.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
60.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
558.0ms
(/ (* (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)))

simplify1.4s

Counts
513 → 513
Iterations
IterNodes
23578
11072
0440

prune6.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
0.5b
(log (/ 1 (+ 1 (exp (- s)))))
0.7b
(log (/ 1 (+ 1 (exp (- t)))))
9.3b
(- (+ (* (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)))

rewrite88.0ms

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:
9.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
6.0ms
(log (/ 1 (+ 1 (exp (- s)))))
6.0ms
(log (/ 1 (+ 1 (exp (- t)))))
65.0ms
(- (+ (* (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)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (log (/ 1 (+ 1 (exp (- t))))) c_p)
56.0ms
(log (/ 1 (+ 1 (exp (- s)))))
60.0ms
(log (/ 1 (+ 1 (exp (- t)))))
324.0ms
(- (+ (* (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)))

simplify1.0s

Counts
149 → 149
Iterations
IterNodes
22627
1858
0338

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
0.3b
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
0.5b
(log (/ 1 (+ 1 (exp (- s)))))
9.3b
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite155.0ms

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×flip3-+ associate-*r* log-pow 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 associate-*l/ 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 → 123
Calls
4 calls:
8.0ms
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
42.0ms
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
6.0ms
(log (/ 1 (+ 1 (exp (- s)))))
97.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (log (/ 1 (+ 1 (exp (- s))))) c_p)
61.0ms
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
61.0ms
(log (/ 1 (+ 1 (exp (- s)))))
395.0ms
(- (+ (* (log (/ 1 (+ 1 (exp (- s))))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.2s

Counts
135 → 135
Iterations
IterNodes
22881
1827
0311

prune2.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize87.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
0.3b
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
0.5b
(* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p)
9.3b
(- (+ (* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×*-un-lft-identity
16×add-cube-cbrt add-log-exp
11×log-prod
9×pow1 prod-diff add-exp-log
8×add-cbrt-cube
7×difference-of-squares
6×flip3-+ associate-*r* associate-*l* flip-+
4×expm1-log1p-u sum-log times-frac diff-log associate-*l/ frac-sub insert-posit16 log1p-expm1-u
3×fma-neg distribute-lft-out--
2×log-div sub-neg log1p-def flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr
1×rem-log-exp associate--l+ log-pow div-inv associate--r+
Counts
4 → 111
Calls
4 calls:
32.0ms
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
43.0ms
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
12.0ms
(* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p)
108.0ms
(- (+ (* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(log (- 1 (/ 1 (+ 1 (exp (- s))))))
63.0ms
(* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p)
63.0ms
(* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p)
299.0ms
(- (+ (* (+ (fma 1/2 s (log 1/2)) (* -1/8 (* s s))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- s)))))) c_n)) (+ (* (+ (* -1/8 (* t t)) (fma t 1/2 (log 1/2))) c_p) (* (log (- 1 (/ 1 (+ 1 (exp (- t)))))) c_n)))

simplify1.2s

Counts
123 → 123
Iterations
IterNodes
23052
1805
0296

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.5b

regimes130.0ms

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
250
150
036

end0.0ms

sample8.8m

Algorithm
intervals
Results
8.7m37847×body10240exit
2.1s40865×pre80true
1.3s2926×body80valid
52.0ms26×body1280valid
45.0ms6×body5120valid
39.0ms13×body640valid
17.0ms5×body2560valid
15.0ms32×body160valid
6.0ms9×body320valid