Details

Time bar (total: 8.5m)

sample44.5s

Algorithm
intervals
Results
44.2s3609×body10240exit
71.0ms3865×pre80true
20.0ms249×body80valid
6.0ms1×body5120valid
3.0ms1×body2560valid
2.0ms2×body640valid
1.0ms1×body1280valid
0.0ms2×body160valid

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: 4.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
0.2b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.2b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
2.2b
(/ (* (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)))

rewrite264.0ms

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:
39.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
19.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
166.0ms
(/ (* (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)))

series802.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
71.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
614.0ms
(/ (* (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)))

simplify127.0ms

Algorithm
egg-herbie
Counts
344 → 344
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
012818124
143807090
250017090

prune608.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 0.5 (* s c_n))

rewrite16.0ms

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))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* 0.5 (* s c_n))

simplify71.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08877
132062
2123462
3343862
4500262

prune46.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
27.4b
(cbrt (* 0.5 (* s c_n)))
27.4b
(cbrt (* 0.5 (* s c_n)))
27.4b
(cbrt (* 0.5 (* s c_n)))

rewrite57.0ms

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))))
10.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series401.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
91.0ms
(cbrt (* 0.5 (* s c_n)))
90.0ms
(cbrt (* 0.5 (* s c_n)))
92.0ms
(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

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
27.4b
(cbrt (* 0.5 (* s c_n)))
27.4b
(cbrt (* 0.5 (* s c_n)))
27.4b
(cbrt (* 0.5 (* s c_n)))

rewrite58.0ms

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))))
10.0ms
(cbrt (* 0.5 (* s c_n)))
12.0ms
(cbrt (* 0.5 (* s c_n)))
10.0ms
(cbrt (* 0.5 (* s c_n)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (* 0.5 (* s c_n))) (cbrt (* 0.5 (* s c_n))))
91.0ms
(cbrt (* 0.5 (* s c_n)))
92.0ms
(cbrt (* 0.5 (* s c_n)))
92.0ms
(cbrt (* 0.5 (* s c_n)))

simplify94.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0212478
1738427
23536370
35002365

prune278.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes462.0ms

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05649
15649

end0.0ms

sample7.6m

Algorithm
intervals
Results
7.6m37348×body10240exit
693.0ms40133×pre80true
219.0ms2684×body80valid
49.0ms8×body5120valid
24.0ms15×body1280valid
18.0ms24×body640valid
17.0ms7×body2560valid
9.0ms35×body160valid
4.0ms12×body320valid