Details

Time bar (total: 8.3m)

sample40.2s

Algorithm
intervals
Results
39.9s3165×body10240exit
100.0ms3421×pre80overflowed
39.0ms247×body80valid
24.0ms2×body5120valid
4.0ms2×body1280valid
1.0ms3×body320valid
1.0ms2×body160valid

simplify25.0ms

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: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.7b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.9b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) 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)))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
97×*-un-lft-identity
70×add-sqr-sqrt
65×add-cube-cbrt
62×times-frac
54×prod-diff
36×unpow-prod-down
16×add-cbrt-cube
15×distribute-lft-out
10×associate-/r/
6×pow1 pow-unpow div-inv add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u
3×fma-neg
2×pow-pow 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 → 332
Calls
4 calls:
21.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
12.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
88.0ms
(/ (* (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)))

series759.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
69.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
573.0ms
(/ (* (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)))

simplify132.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
012818124
143807090
250017090

prune608.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite6.0ms

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:
5.0ms
(* 0.5 (* s c_n))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* 0.5 (* s c_n))

simplify72.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08877
132062
2123462
3343862
4500262

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
24.2b
(cbrt (* 0.5 (* s c_n)))
24.2b
(cbrt (* 0.5 (* s c_n)))
24.2b
(cbrt (* 0.5 (* s c_n)))

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×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:
7.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
92.0ms
(cbrt (* 0.5 (* s c_n)))
88.0ms
(cbrt (* 0.5 (* s c_n)))
87.0ms
(cbrt (* 0.5 (* s c_n)))

simplify96.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune246.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
24.2b
(cbrt (* 0.5 (* s c_n)))
24.2b
(cbrt (* 0.5 (* s c_n)))
24.2b
(cbrt (* 0.5 (* s c_n)))

rewrite23.0ms

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:
7.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
7.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
88.0ms
(cbrt (* 0.5 (* s c_n)))
88.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))

simplify102.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune271.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.4b

regimes604.0ms

bsearch4.0s

Steps
ItersRangePoint
6
-2.1697761797081837e-50
-2.101444938683423e-51
-2.4248961210612924e-51

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04938
14938

end0.0ms

sample7.5m

Algorithm
intervals
Results
7.5m35876×body10240exit
1.1s38705×pre80overflowed
431.0ms2755×body80valid
48.0ms6×body5120valid
35.0ms18×body1280valid
11.0ms13×body640valid
9.0ms26×body160valid
8.0ms3×body2560valid
4.0ms8×body320valid