Details

Time bar (total: 12.6s)

sample190.0ms

Algorithm
intervals
Results
75.0ms1324×body80nan
32.0ms413×body80valid
5.0ms13×body640valid
2.0ms3×body1280valid
2.0ms10×body320valid
1.0ms9×body160valid

simplify412.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01718
13117
26217
312017
431017
5106017
done500117

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log (- 1.0 z)) b))
0.1b
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
0.3b
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
6.8b
(log (- 1.0 z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
34×*-un-lft-identity
25×add-cube-cbrt
24×prod-diff
19×distribute-rgt-in distribute-lft-in
16×pow1
15×log-prod
10×associate--l+
9×associate-*r*
8×add-exp-log log-pow add-cbrt-cube
7×associate-*l*
5×distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u add-log-exp difference-of-squares
2×sub-neg log-div flip3-- associate-*r/ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
1×rem-log-exp exp-sum
Counts
4 → 112
Calls
4 calls:
20.0ms
(* a (- (log (- 1.0 z)) b))
0.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
6.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
3.0ms
(log (- 1.0 z))

series624.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* a (- (log (- 1.0 z)) b))
189.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
308.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
49.0ms
(log (- 1.0 z))

simplify695.0ms

Counts
124 → 124
Iterations

Useful iterations: done (691.0ms)

IterNodesCost
02652242
15661967
219061647
done50011599

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log z) t)
0.0b
(* 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)))
0.3b
(* (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)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
72×prod-diff
71×add-sqr-sqrt
51×add-cube-cbrt
43×associate--l+
37×distribute-rgt-in distribute-lft-in
26×pow1
19×distribute-lft-out--
18×log-pow
10×associate-*r*
9×log-prod
8×add-cbrt-cube difference-of-squares
7×add-exp-log associate-*l*
5×sub-neg add-log-exp
4×expm1-log1p-u fma-neg log1p-expm1-u
2×flip3-- associate-*r/ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
1×diff-log exp-sum
Counts
4 → 167
Calls
4 calls:
5.0ms
(- (log z) t)
68.0ms
(* 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)))
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)

series733.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (log z) t)
116.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
247.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
311.0ms
(* (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)

simplify1.1s

Counts
179 → 179
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
03386726
16435249
222024214
done50004214

prune501.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

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)))
0.2b
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
0.2b
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity sqrt-pow1 sqrt-prod
6×pow1 exp-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 exp-sum
Counts
4 → 58
Calls
4 calls:
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)))
2.0ms
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
2.0ms
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
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)))
240.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
275.0ms
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))
276.0ms
(sqrt (exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))))

simplify501.0ms

Counts
70 → 70
Iterations

Useful iterations: done (498.0ms)

IterNodesCost
0782112
11501978
23681824
311941750
done50011742

prune514.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes140.0ms

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 (0.0ms)

IterNodesCost
02328
12628
done2628

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s41113×body80nan
835.0ms12663×body80valid
133.0ms361×body640valid
93.0ms406×body320valid
57.0ms78×body1280valid
38.0ms258×body160valid