Details

Time bar (total: 56.1s)

sample40.5s

Algorithm
intervals
Results
40.2s3206×body10240exit
72.0ms3462×pre80true
22.0ms245×body80valid
8.0ms4×body1280valid
5.0ms1×body5120valid
2.0ms2×body640valid
1.0ms3×body160valid
1.0ms1×body320valid

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: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.7b
(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)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
555×add-exp-log
312×prod-exp
262×pow-exp
249×div-exp
183×pow-to-exp
38×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×unpow-prod-down add-cbrt-cube
7×distribute-lft-out
6×add-log-exp
5×pow1 cbrt-undiv associate-/r*
4×associate-/r/ cbrt-unprod associate-/l*
3×pow-unpow div-inv
2×frac-2neg flip3-+ clear-num flip-+ difference-of-squares
1×sub-neg flip3-- pow-pow diff-log flip-- distribute-lft-out-- sqr-pow
Counts
4 → 267
Calls
4 calls:
9.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
9.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
7.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
36.0ms
(/ (* (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)))

series701.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
44.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
560.0ms
(/ (* (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)))

simplify97.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
09215858
131145614
250035614

prune428.0ms

Filtered
279 candidates to 80 candidates (28.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 (exp (- s))))
0.2b
(* c_p (+ (log 0.5) (* 0.5 t)))
0.3b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
1.2b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
170×add-exp-log
88×prod-exp
65×div-exp
53×pow-exp
41×pow-to-exp
25×*-un-lft-identity
22×add-sqr-sqrt
20×add-cbrt-cube
15×add-cube-cbrt
14×times-frac
6×pow1 add-log-exp
5×cbrt-undiv associate-/r* cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
3×flip3-+ associate-*r* associate-*l* flip-+
2×frac-2neg associate-*r/ associate-*l/ clear-num div-inv difference-of-squares
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- unswap-sqr
Counts
4 → 141
Calls
4 calls:
5.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
5.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
9.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
36.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1.0 (+ 1.0 (exp (- s))))
95.0ms
(* c_p (+ (log 0.5) (* 0.5 t)))
49.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- s)))))
690.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (+ (* c_p (+ (log 0.5) (* 0.5 t))) 1) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify96.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08472733
138972482
250012482

prune432.0ms

Filtered
153 candidates to 73 candidates (47.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
4.0ms
(* 0.5 (* s c_n))
5.0ms
(* 0.5 (* s c_p))

series36.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* 0.5 (* s c_n))
18.0ms
(* 0.5 (* s c_p))

simplify54.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0153142
1595112
22373112
35002112

prune66.0ms

Filtered
42 candidates to 22 candidates (52.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* s c_n))
0.0b
(exp (* 0.5 (* s c_n)))
0.0b
(* 0.5 (* s c_p))
0.3b
(log (exp (* 0.5 (* s c_n))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1
14×add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×log-prod log-pow
2×exp-prod exp-to-pow associate-*r* *-commutative
1×rem-log-exp rem-exp-log
Counts
4 → 60
Calls
4 calls:
4.0ms
(* 0.5 (* s c_n))
2.0ms
(exp (* 0.5 (* s c_n)))
4.0ms
(* 0.5 (* s c_p))
2.0ms
(log (exp (* 0.5 (* s c_n))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 0.5 (* s c_n))
17.0ms
(exp (* 0.5 (* s c_n)))
21.0ms
(* 0.5 (* s c_p))
18.0ms
(log (exp (* 0.5 (* s c_n))))

simplify79.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0202260
1832214
23619214
35002214

prune135.0ms

Filtered
72 candidates to 42 candidates (58.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.9b

regimes512.0ms

bsearch11.8s

Steps
ItersRangePoint
9
-6.653690959974512e-06
-4.4890644611903895e-11
-7.610044783902136e-08