Details

Time bar (total: 1.7m)

sample44.1s

Algorithm
intervals
Results
43.8s3410×body10240exit
79.0ms3666×pre80true
21.0ms250×body80valid
5.0ms1×body5120valid
1.0ms3×body160valid
1.0ms1×body640valid
0.0ms1×body320valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05325
114725
285025
3500125

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- t))))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.7b
(/ (* (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)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
558×add-exp-log
312×prod-exp
264×pow-exp
250×div-exp
184×pow-to-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
6×pow1 pow-unpow associate-/r/
5×cbrt-undiv associate-/r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×pow-pow frac-2neg clear-num sqr-pow
Counts
4 → 293
Calls
4 calls:
16.0ms
(/ 1.0 (+ 1.0 (exp (- t))))
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
18.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
155.0ms
(/ (* (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)))

series773.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (+ 1.0 (exp (- t))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
66.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
610.0ms
(/ (* (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
305 → 305
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
09936127
133505877
250025877

prune536.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
15.0ms
(* 0.5 (* s c_n))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* 0.5 (* s c_n))

simplify70.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08877
132062
2123462
3343862
4500262

prune55.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))

rewrite56.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
24.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
12.0ms
(cbrt (* 0.5 (* s c_n)))
9.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
90.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))

simplify97.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))
25.8b
(cbrt (* 0.5 (* s c_n)))

rewrite56.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
26.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
9.0ms
(cbrt (* 0.5 (* s c_n)))
9.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series396.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
90.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))
90.0ms
(cbrt (* 0.5 (* s c_n)))

simplify97.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

regimes569.0ms

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02116
12116

end0.0ms

sample55.7s

Algorithm
intervals
Results
55.3s4420×body10240exit
77.0ms4742×pre80true
27.0ms314×body80valid
11.0ms2×body5120valid
1.0ms1×body1280valid
1.0ms3×body160valid
1.0ms1×body640valid
0.0ms1×body320valid