Details

Time bar (total: 3.8m)

sample1.2m

Algorithm
intervals
Results
1.1m3326×body10240exit
247.0ms3583×pre80true
73.0ms246×body80valid
19.0ms4×body1280valid
6.0ms1×body5120valid
5.0ms1×body2560valid
4.0ms2×body640valid
1.0ms2×body160valid
1.0ms1×body320valid

simplify426.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
425.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize58.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
1.7b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
0.7b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.1b
(- 1 (/ 1 (+ 1 (exp (- t)))))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log
692×pow-exp
684×prod-exp
593×div-exp
344×pow-to-exp
116×rec-exp 1-exp
103×*-un-lft-identity
76×add-sqr-sqrt
65×times-frac add-cube-cbrt
54×prod-diff
36×unpow-prod-down
16×add-cbrt-cube
15×distribute-lft-out
10×associate-/r/
8×pow1
7×div-inv
6×pow-unpow pow-pow add-log-exp difference-of-squares
5×flip3-+ flip-+
4×expm1-log1p-u cbrt-undiv cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-neg
2×pow-flip distribute-lft-out-- inv-pow sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l*
Counts
4 → 541
Calls
4 calls:
Slowest
279.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
54.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
14.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
870.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
84.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
73.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
34.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))

simplify2.2m

Counts
560 → 553
Calls
560 calls:
Slowest
2.9s
(/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))))
2.5s
(/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))))
2.3s
(/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (pow (/ 1 (+ 1 (exp (- s)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (/ 1 (+ 1 (exp (- t)))) c_p)) (pow (/ 1 (+ 1 (exp (- t)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))))
2.1s
(/ (* (* (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n))) (* (* (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (/ 1 (+ 1 (exp (- t)))) c_p)) (pow (/ 1 (+ 1 (exp (- t)))) c_p)) (* (* (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))))
755.0ms
(/ (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n))

prune7.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

24.7b
(fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))
7.7b
(- (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p))) (* (log1p (exp (- s))) c_p))
2.0b
(log1p (/ 1 (exp t)))
0.7b
(log1p (exp (- s)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cube-cbrt add-log-exp
4×pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×log1p-udef log1p-expm1 fma-udef
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
4 → 57
Calls
4 calls:
Slowest
5.0ms
(- (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p))) (* (log1p (exp (- s))) c_p))
0.0ms
(log1p (exp (- s)))
0.0ms
(log1p (/ 1 (exp t)))
0.0ms
(fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))

series722.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
329.0ms
(- (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p))) (* (log1p (exp (- s))) c_p))
289.0ms
(fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))
53.0ms
(log1p (/ 1 (exp t)))
50.0ms
(log1p (exp (- s)))

simplify2.7s

Counts
24 → 69
Calls
24 calls:
Slowest
357.0ms
(/ (exp (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))) (exp (* (log1p (exp (- s))) c_p)))
269.0ms
(fma (sqrt (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))) (sqrt (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p)))) (- (* c_p (log1p (exp (- s))))))
259.0ms
(fma 1 (fma (log1p (/ -1 (+ 1 (exp (- s))))) c_n (fma (log1p (/ -1 (+ (/ 1 (exp t)) 1))) (- c_n) (* (log1p (/ 1 (exp t))) c_p))) (- (* c_p (log1p (exp (- s))))))
256.0ms
(- (+ (* c_p (log (+ (/ 1 (exp t)) 1))) (* c_n (log (- 1 (/ 1 (+ (exp (* -1 s)) 1)))))) (+ (* c_p (log (+ (exp (* -1 s)) 1))) (* c_n (log (- 1 (/ 1 (+ (/ 1 (exp t)) 1)))))))
225.0ms
(- (+ (* c_n (log (- 1 (/ 1 (+ (exp (- s)) 1))))) (* c_p (log (+ (/ 1 (exp t)) 1)))) (+ (* c_p (log (+ (exp (- s)) 1))) (* c_n (log (- 1 (/ 1 (+ (/ 1 (exp t)) 1)))))))

prune994.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

5.9b
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (* (log1p (exp (- s))) c_p))
0.7b
(log1p (exp (- s)))
0.2b
(* c_p (log 2))
0.2b
(* (log1p (exp (- s))) c_p)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
9×pow1
8×add-cbrt-cube add-exp-log
7×associate-*r*
6×log-prod associate-*l* add-log-exp
5×expm1-log1p-u
4×insert-posit16 log1p-expm1-u
3×distribute-rgt-in distribute-lft-in fma-neg prod-diff
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×log1p-udef sub-neg flip3-- diff-log associate--l+ log1p-expm1 log-pow fma-udef flip--
Counts
4 → 83
Calls
4 calls:
Slowest
6.0ms
(* c_p (log 2))
5.0ms
(* (log1p (exp (- s))) c_p)
5.0ms
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (* (log1p (exp (- s))) c_p))
0.0ms
(log1p (exp (- s)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
168.0ms
(* c_p (log 2))
123.0ms
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (* (log1p (exp (- s))) c_p))
59.0ms
(* (log1p (exp (- s))) c_p)
46.0ms
(log1p (exp (- s)))

simplify2.6s

Counts
49 → 95
Calls
49 calls:
Slowest
331.0ms
(fma 1 (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (- (* c_p (log1p (exp (- s))))))
282.0ms
(fma (* (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2)))) (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2))))) (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2)))) (- (* c_p (log1p (exp (- s))))))
220.0ms
(* (* (* (log1p (exp (- s))) (log1p (exp (- s)))) (log1p (exp (- s)))) (* (* c_p c_p) c_p))
190.0ms
(* (* (* c_p c_p) c_p) (* (* (log 2) (log 2)) (log 2)))
186.0ms
(- (+ (* (log 2) c_p) (* 1/8 (* c_p (pow s 2)))) (* 1/2 (* c_p s)))

prune992.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

40.3b
(cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))
5.9b
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))
0.7b
(log1p (exp (- s)))
0.7b
(log1p (exp (- s)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×prod-diff add-cube-cbrt
6×expm1-log1p-u add-log-exp
4×cbrt-prod pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×fma-neg
2×log1p-udef log1p-expm1
1×sub-neg flip3-- pow1/3 diff-log pow3 associate--l+ rem-cbrt-cube fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
Slowest
62.0ms
(cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))
5.0ms
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))
0.0ms
(log1p (exp (- s)))
0.0ms
(log1p (exp (- s)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(- (fma (* c_n 1/2) (- t s) (* c_p (log 2))) (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))
76.0ms
(cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))
52.0ms
(log1p (exp (- s)))
47.0ms
(log1p (exp (- s)))

simplify6.9s

Counts
47 → 82
Calls
47 calls:
Slowest
386.0ms
(- (+ (* (log 2) c_p) (* 1/2 (* t c_n))) (+ (* 1/2 (* c_n s)) (* c_p (log (+ (exp (- s)) 1)))))
310.0ms
(fma (* (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2)))) (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2))))) (cbrt (fma (* c_n 1/2) (- t s) (* c_p (log 2)))) (- (* (cbrt (* (log1p (exp (- s))) c_p)) (cbrt (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p))))))
275.0ms
(fma (- (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))))))
270.0ms
(fma (- (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))))))
268.0ms
(fma (- (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p))))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (* (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))) (cbrt (cbrt (* (* (* (log1p (exp (- s))) c_p) (* (log1p (exp (- s))) c_p)) (* (log1p (exp (- s))) c_p)))))))

prune934.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes388.0ms

bsearch4.0ms

end0.0ms