Details

Time bar (total: 10.0m)

sample39.8s

Algorithm
intervals
Results
39.2s2924×body10240exit
363.0ms3180×pre80true
30.0ms247×body80valid
3.0ms3×body640valid
1.0ms3×body320valid
1.0ms3×body160valid

simplify604.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
3847
2147
153
022

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
5.4b
(/ (* (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)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
36×unpow-prod-down *-un-lft-identity
27×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
6×pow1 pow-unpow distribute-lft-out add-log-exp
4×cbrt-undiv associate-/r/ cbrt-unprod
3×div-inv
2×pow-pow flip3-+ flip-+ difference-of-squares sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
24.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
129.0ms
(/ (* (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)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
596.0ms
(/ (* (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)))

simplify952.0ms

Counts
279 → 279
Iterations
IterNodes
done5002
24333
11202
0366

prune583.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×diff-log
1×sum-log sub-neg flip3-- associate-*l* associate--l+ *-commutative flip--
Counts
2 → 32
Calls
2 calls:
92.0ms
(- (+ (* (* 0.5 s) c_p) 1) (* (* s c_n) 0.5))
12.0ms
(* (* s c_n) 0.5)

series74.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- (+ (* (* 0.5 s) c_p) 1) (* (* s c_n) 0.5))
19.0ms
(* (* s c_n) 0.5)

simplify427.0ms

Counts
38 → 38
Iterations
IterNodes
done5000
21088
1199
074

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))))
0.3b
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
0.3b
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
0.3b
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
23×pow1
14×associate-*l/
13×cbrt-prod
12×pow1/3
11×add-sqr-sqrt
9×*-un-lft-identity add-exp-log pow-prod-up add-cube-cbrt
8×associate-*r/
6×pow-plus associate-*r*
5×add-cbrt-cube pow-prod-down
4×add-log-exp
3×prod-exp pow-sqr cbrt-unprod
2×pow2 unswap-sqr
1×associate-*l* pow3 *-commutative
Counts
4 → 100
Calls
4 calls:
46.0ms
(* (* (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))))
2.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
2.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
2.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

series1.2s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (* (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))) (cbrt (+ 1 (* (* 0.5 s) (- c_p c_n)))))
388.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
390.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
390.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

simplify641.0ms

Counts
112 → 112
Iterations
IterNodes
done5002
21738
1398
0153

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* c_p s) 0.16666666666666666)
0.1b
(* c_n (* s 0.16666666666666666))
0.3b
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
0.3b
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×cbrt-div associate-*r* associate-*l* add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+
Counts
4 → 62
Calls
4 calls:
12.0ms
(* (* c_p s) 0.16666666666666666)
12.0ms
(* c_n (* s 0.16666666666666666))
2.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
3.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

series830.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* c_p s) 0.16666666666666666)
20.0ms
(* c_n (* s 0.16666666666666666))
396.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))
394.0ms
(cbrt (+ 1 (* (* 0.5 s) (- c_p c_n))))

simplify639.0ms

Counts
74 → 74
Iterations
IterNodes
done5001
21723
1330
0126

prune349.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

regimes1.2s

bsearch23.0s

Steps
ItersRangePoint
9
1035170964.7629048
1.457865198872734e+17
1081797244.2724092
5
1.0685871788040324e-120
2.3919631664953544e-120
2.363778391888682e-120
4
1.0226659797432845e-221
1.955567214243162e-221
1.0385537326701626e-221

simplify34.0ms

Iterations
IterNodes
done113
2113
1109
074

end0.0ms

sample8.8m

Algorithm
intervals
Results
8.7m40765×body10240exit
2.4s44035×pre80true
376.0ms3157×body80valid
156.0ms8×body5120valid
36.0ms19×body1280valid
34.0ms39×body160valid
23.0ms25×body640valid
22.0ms8×body2560valid
6.0ms13×body320valid