Details

Time bar (total: 16.7s)

sample183.0ms

Algorithm
intervals
Results
81.0ms1422×body80nan
23.0ms376×body80valid
3.0ms9×body640valid
2.0ms2×body1280valid
2.0ms8×body320valid
1.0ms8×body160valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01718
13117
26217
311917
430617
5103717
6478717
done500017

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
0.0b
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.1b
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
5.3b
(log (- 1.0 z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log add-cbrt-cube
5×log-prod add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×exp-prod associate-*r* fma-udef
2×log-div exp-sum
1×flip3-- rem-log-exp pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod rem-exp-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 63
Calls
4 calls:
12.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
1.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
3.0ms
(log (- 1.0 z))

series640.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
131.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
176.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
41.0ms
(log (- 1.0 z))

simplify881.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (371.0ms)

IterNodesCost
01591277
13541230
29311079
325781064
done50011064

prune301.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))) x)
0.0b
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
0.0b
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.1b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
61×add-sqr-sqrt
60×prod-diff
43×add-cube-cbrt
40×associate--l+
37×distribute-rgt-in distribute-lft-in
21×pow1
17×distribute-lft-out--
13×log-pow
10×associate-*r*
8×add-cbrt-cube
7×add-exp-log associate-*l* difference-of-squares
6×log-prod
5×add-log-exp
4×expm1-log1p-u sub-neg log1p-expm1-u
3×exp-prod fma-udef
2×associate-*r/ exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip-- rem-exp-log
Counts
4 → 145
Calls
4 calls:
6.0ms
(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))) x)
61.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
1.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))) x)
104.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
164.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
239.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify643.0ms

Counts
157 → 157
Iterations

Useful iterations: done (636.0ms)

IterNodesCost
02886764
15245392
213414429
done50004036

prune456.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0b
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.1b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
0.1b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-cube-cbrt exp-prod *-un-lft-identity add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u
2×exp-sum rem-exp-log
Counts
4 → 48
Calls
4 calls:
1.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
1.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
0.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series803.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
172.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
236.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
232.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify1.8s

Counts
60 → 60
Iterations

Useful iterations: 4 (560.0ms)

IterNodesCost
0661728
11341706
23081502
39581440
448051428
done50001428

prune450.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b)))
0.0b
(/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a)))
0.0b
(* a (+ (* 1.0 z) b))
0.0b
(/ x (/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log times-frac
31×div-exp
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
19×prod-exp
12×pow-to-exp pow-exp
9×associate-/r*
7×cbrt-undiv fma-udef associate-/l*
6×pow1 exp-sum div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* cbrt-unprod
2×frac-2neg associate-*r/ clear-num
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down associate-/r/ *-commutative flip-+ unswap-sqr
Counts
4 → 129
Calls
4 calls:
0.0ms
(fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b)))
6.0ms
(/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a)))
10.0ms
(* a (+ (* 1.0 z) b))
12.0ms
(/ x (/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a))))

series656.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b)))
236.0ms
(/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a)))
41.0ms
(* a (+ (* 1.0 z) b))
322.0ms
(/ x (/ (exp (fma t y (fma (* (* 0.5 a) z) z (* a (+ (* 1.0 z) b))))) (* (pow z y) (pow 1.0 a))))

simplify718.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (262.0ms)

IterNodesCost
02604323
16524056
221633643
done50003643

prune587.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02557
12957
done2957

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s40359×body80nan
769.0ms12297×body80valid
148.0ms413×body640valid
87.0ms390×body320valid
58.0ms80×body1280valid
38.0ms288×body160valid