Details

Time bar (total: 2.9m)

sample15.7s

Algorithm
intervals
Results
15.1s1597×body10240exit
291.0ms1730×body80overflowed
93.0ms3583×pre80true
38.0ms239×body80valid
16.0ms1×body5120valid
5.0ms2×body2560valid
3.0ms3×body640valid
3.0ms8×body160valid
2.0ms3×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: 7.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.0b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.2b
(/ (* (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)))

rewrite155.0ms

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)
90.0ms
(/ (* (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:
48.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
575.0ms
(/ (* (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)))

simplify128.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
012818124
143807090
250017090

prune596.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize7.0ms

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:
6.0ms
(* 0.5 (* s c_n))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 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

prune49.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
26.2b
(cbrt (* 0.5 (* s c_n)))
26.2b
(cbrt (* 0.5 (* s c_n)))
26.2b
(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)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
87.0ms
(cbrt (* 0.5 (* s c_n)))
87.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))

simplify95.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cbrt (* 0.5 (* s c_n))) 6)
26.2b
(cbrt (* 0.5 (* s c_n)))
26.2b
(cbrt (* 0.5 (* s c_n)))
45.7b
(pow (pow (cbrt (* 0.5 (* s c_n))) 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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-pow pow1/3 sqr-pow
1×unpow1/3
Counts
4 → 70
Calls
4 calls:
2.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
4.0ms
(cbrt (* 0.5 (* s c_n)))
4.0ms
(cbrt (* 0.5 (* s c_n)))
3.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

series526.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(pow (cbrt (* 0.5 (* s c_n))) 6)
89.0ms
(cbrt (* 0.5 (* s c_n)))
89.0ms
(cbrt (* 0.5 (* s c_n)))
204.0ms
(pow (pow (cbrt (* 0.5 (* s c_n))) 6) 1/3)

simplify35.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0260494
1881448
25001400

prune258.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes348.0ms

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04939
14939

end0.0ms

sample2.5m

Algorithm
intervals
Results
2.4m16480×body10240exit
2.9s18182×body80overflowed
849.0ms37333×pre80true
398.0ms2573×body80valid
90.0ms6×body5120valid
41.0ms19×body1280valid
23.0ms22×body640valid
13.0ms34×body160valid
8.0ms3×body2560valid
8.0ms14×body320valid