Details

Time bar (total: 1.0m)

sample45.2s

Algorithm
intervals
Results
44.8s3257×body10240exit
133.0ms3513×pre80true
27.0ms251×body80valid
4.0ms2×body2560valid
1.0ms1×body640valid
1.0ms1×body320valid
0.0ms1×body160valid

simplify825.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
3847
2147
153
022

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
2.9b
(/ (* (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:
24.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
15.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
16.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) 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)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
607.0ms
(/ (* (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)))

simplify954.0ms

Counts
279 → 279
Iterations
IterNodes
done5000
24332
11202
0366

prune596.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))
0.2b
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.8b
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0))) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

rewrite644.0ms

Algorithm
rewrite-expression-head
Rules
749×times-frac
663×unpow-prod-down
518×add-sqr-sqrt
515×*-un-lft-identity
293×add-cube-cbrt
230×pow-unpow
227×pow-pow
224×exp-prod
90×difference-of-squares
67×sqr-pow
66×distribute-lft-out
45×distribute-lft-out--
44×associate-/r/
24×div-inv
22×flip3-+ flip-+
10×add-exp-log
7×pow1
6×add-log-exp
5×pow-exp
4×add-cbrt-cube
3×pow-to-exp
2×div-exp
1×sub-neg flip3-- diff-log flip--
Counts
4 → 543
Calls
4 calls:
33.0ms
(- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))
22.0ms
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
16.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
529.0ms
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0))) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

series1.1s

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 1.0 (/ 1.0 (+ (exp (- t)) 1.0)))
69.0ms
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
72.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
866.0ms
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ (exp (- t)) 1.0))) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

simplify751.0ms

Counts
555 → 555
Iterations
IterNodes
done5002
13023
0939

prune3.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow t 3) 0.020833333333333336)
0.2b
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.8b
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- (+ (* (pow t 3) 0.020833333333333336) 0.5) (* 0.25 t)) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
547×unpow-prod-down
428×*-un-lft-identity
387×add-sqr-sqrt
270×add-cube-cbrt
230×pow-unpow
161×pow-pow
158×exp-prod
66×sqr-pow
57×distribute-lft-out
44×difference-of-squares
38×associate-/r/
22×distribute-lft-out--
21×div-inv
19×flip3-+ flip-+
15×add-exp-log
12×associate-*l*
7×pow1
6×add-cbrt-cube pow-exp
4×pow-to-exp cube-prod add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×div-exp
1×cube-mult unpow3 *-commutative cbrt-unprod
Counts
4 → 493
Calls
4 calls:
10.0ms
(* (pow t 3) 0.020833333333333336)
23.0ms
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
16.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
361.0ms
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- (+ (* (pow t 3) 0.020833333333333336) 0.5) (* 0.25 t)) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

series1.1s

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (pow t 3) 0.020833333333333336)
73.0ms
(pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)
72.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
895.0ms
(pow (exp (/ (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- (+ (* (pow t 3) 0.020833333333333336) 0.5) (* 0.25 t)) c_n))) (/ (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n) (pow (/ 1.0 (+ (exp (- t)) 1.0)) c_p)))

simplify719.0ms

Counts
505 → 505
Iterations
IterNodes
done5002
12829
0896

prune4.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize1.0ms