Details

Time bar (total: 3.3m)

sample40.7s

Algorithm
intervals
Results
40.5s3162×body10240exit
71.0ms3418×pre80true
21.0ms252×body80valid
11.0ms1×body2560valid
2.0ms1×body1280valid
1.0ms1×body640valid
0.0ms1×body160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.5b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.5b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.4b
(/ (* (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)))

rewrite148.0ms

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×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
16.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
11.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
91.0ms
(/ (* (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)))

series772.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
66.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
70.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
585.0ms
(/ (* (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)))

simplify102.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09765948
131425704
250015704

prune435.0ms

Filtered
279 candidates to 79 candidates (28.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 0.5 (* s c_p))
0.0b
(* 0.5 (* s c_n))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×associate-*r* *-commutative add-log-exp
Counts
2 → 36
Calls
2 calls:
5.0ms
(* 0.5 (* s c_p))
5.0ms
(* 0.5 (* s c_n))

series38.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune74.0ms

Filtered
42 candidates to 22 candidates (52.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
24.8b
(cbrt (* 0.5 (* s c_p)))
24.8b
(cbrt (* 0.5 (* s c_p)))
24.8b
(cbrt (* 0.5 (* s c_p)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
4.0ms
(cbrt (* 0.5 (* s c_p)))
4.0ms
(cbrt (* 0.5 (* s c_p)))
4.0ms
(cbrt (* 0.5 (* s c_p)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (* 0.5 (* s c_p))) (cbrt (* 0.5 (* s c_p))))
91.0ms
(cbrt (* 0.5 (* s c_p)))
90.0ms
(cbrt (* 0.5 (* s c_p)))
90.0ms
(cbrt (* 0.5 (* s c_p)))

simplify96.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0205441
1703390
23412330
35001323

prune211.0ms

Filtered
70 candidates to 56 candidates (80.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cbrt (* 0.5 (* s c_p))) 6)
24.8b
(cbrt (* 0.5 (* s c_p)))
24.8b
(cbrt (* 0.5 (* s c_p)))
46.0b
(pow (pow (cbrt (* 0.5 (* s c_p))) 6) 1/3)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×unpow-prod-down
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-exp-log
6×pow-unpow
5×pow1 pow-exp
4×cbrt-prod add-cbrt-cube add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
1×unpow1/3
Counts
4 → 62
Calls
4 calls:
2.0ms
(pow (cbrt (* 0.5 (* s c_p))) 6)
4.0ms
(cbrt (* 0.5 (* s c_p)))
4.0ms
(cbrt (* 0.5 (* s c_p)))
3.0ms
(pow (pow (cbrt (* 0.5 (* s c_p))) 6) 1/3)

series532.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(pow (cbrt (* 0.5 (* s c_p))) 6)
91.0ms
(cbrt (* 0.5 (* s c_p)))
90.0ms
(cbrt (* 0.5 (* s c_p)))
208.0ms
(pow (pow (cbrt (* 0.5 (* s c_p))) 6) 1/3)

simplify34.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254456
1869410
25002362

prune223.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

regimes332.0ms

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06241
16241

end0.0ms

sample2.6m

Algorithm
intervals
Results
2.6m12570×body10240exit
261.0ms13542×pre80true
78.0ms938×body80valid
25.0ms6×body2560valid
14.0ms7×body1280valid
11.0ms2×body5120valid
3.0ms5×body640valid
2.0ms10×body160valid
1.0ms4×body320valid