Details

Time bar (total: 10.0m)

sample40.1s

Algorithm
intervals
Results
39.7s2924×body10240exit
73.0ms3180×pre80true
53.0ms247×body80valid
3.0ms3×body640valid
1.0ms3×body320valid
1.0ms3×body160valid

simplify544.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
384743
done500143

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize33.0ms

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)))

rewrite210.0ms

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:
23.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
16.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
137.0ms
(/ (* (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)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
72.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
603.0ms
(/ (* (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)))

simplify974.0ms

Counts
279 → 279
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
036610784
1120210366
243339631
done50029631

prune559.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
8×add-log-exp
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
2×diff-log associate-*r* *-commutative
1×sum-log sub-neg flip3-- associate--l+ flip--
Counts
3 → 50
Calls
3 calls:
80.0ms
(- (+ (* 0.5 (* c_p s)) 1) (* 0.5 (* c_n s)))
15.0ms
(* 0.5 (* c_n s))
12.0ms
(* 0.5 (* c_p s))

series97.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (+ (* 0.5 (* c_p s)) 1) (* 0.5 (* c_n s)))
22.0ms
(* 0.5 (* c_n s))
20.0ms
(* 0.5 (* c_p s))

simplify538.0ms

Counts
59 → 59
Iterations

Useful iterations: done (537.0ms)

IterNodesCost
087635
1234610
2908534
done5000464

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:
48.0ms
(* (* (cbrt (+ 1 (* (* s 0.5) (- c_p c_n)))) (cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))) (cbrt (+ 1 (* (* s 0.5) (- c_p c_n)))))
2.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
2.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
2.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))

series1.3s

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* (cbrt (+ 1 (* (* s 0.5) (- c_p c_n)))) (cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))) (cbrt (+ 1 (* (* s 0.5) (- c_p c_n)))))
402.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
436.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
403.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))

simplify648.0ms

Counts
112 → 112
Iterations

Useful iterations: done (644.0ms)

IterNodesCost
01534040
13983607
217383063
done50022954

prune428.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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 associate-*l* pow-prod-down prod-exp cbrt-unprod
4×cbrt-div add-log-exp
2×flip3-+ pow1/3 associate-*r* *-commutative flip-+
Counts
4 → 62
Calls
4 calls:
12.0ms
(* 0.16666666666666666 (* c_p s))
16.0ms
(* 0.16666666666666666 (* c_n s))
2.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
2.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))

series854.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 0.16666666666666666 (* c_p s))
24.0ms
(* 0.16666666666666666 (* c_n s))
403.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))
406.0ms
(cbrt (+ 1 (* (* s 0.5) (- c_p c_n))))

simplify673.0ms

Counts
74 → 74
Iterations

Useful iterations: done (671.0ms)

IterNodesCost
0121984
1313940
21206832
done5000806

prune272.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

regimes1.1s

bsearch23.3s

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

simplify32.0ms

Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
068232
1100181
2104181
done104181

end0.0ms

sample8.8m

Algorithm
intervals
Results
8.7m40928×body10240exit
1.9s44208×pre80true
507.0ms3166×body80valid
176.0ms8×body5120valid
35.0ms19×body1280valid
24.0ms8×body2560valid
22.0ms25×body640valid
11.0ms39×body160valid
6.0ms14×body320valid