Details

Time bar (total: 17.7s)

sample185.0ms

Algorithm
intervals
Results
67.0ms1167×body80nan
23.0ms385×body80valid
4.0ms18×body320valid
3.0ms8×body640valid
1.0ms9×body160valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01718
13117
26217
313517
433517
5109117
done500017

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log (- 1.0 z)) b))
0.1b
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
0.4b
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
6.2b
(log (- 1.0 z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
33×*-un-lft-identity
24×add-cube-cbrt prod-diff
19×distribute-rgt-in distribute-lft-in
15×log-prod
14×pow1
10×associate--l+
8×log-pow
7×add-exp-log
6×associate-*r* add-cbrt-cube
5×distribute-lft-out-- add-log-exp
4×expm1-log1p-u log1p-expm1-u difference-of-squares
3×exp-prod associate-*l*
2×sub-neg log-div flip3-- associate-*r/ flip-- fma-udef
1×rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
34.0ms
(* a (- (log (- 1.0 z)) b))
2.0ms
(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)))
9.0ms
(log (- 1.0 z))

series486.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* a (- (log (- 1.0 z)) b))
152.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
202.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
48.0ms
(log (- 1.0 z))

simplify1.9s

Counts
117 → 117
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02472045
15241768
212341510
337041415
done50001412

prune357.0ms

Pruning

4 alts after pruning (4 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))))
0.4b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

rewrite137.0ms

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:
14.0ms
(* (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)
112.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
2.0ms
(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)))

series886.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(* (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)
109.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
190.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
257.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify838.0ms

Counts
157 → 157
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
02886764
15345392
212994429
done50003606

prune502.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow E (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
(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
0.4b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
66×add-sqr-sqrt
60×prod-diff
45×add-cube-cbrt
40×associate--l+
37×distribute-rgt-in distribute-lft-in
20×pow1
17×distribute-lft-out--
13×add-exp-log log-pow
11×associate-*l*
10×associate-*r*
8×add-cbrt-cube
7×unpow-prod-down difference-of-squares
6×log-prod
5×prod-exp
4×expm1-log1p-u sub-neg pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow fma-udef sqr-pow
2×unpow-prod-up pow-to-exp e-exp-1 associate-*r/ *-commutative cbrt-unprod
1×flip3-- pow-pow pow-prod-down flip--
Counts
4 → 160
Calls
4 calls:
12.0ms
(* (pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))) x)
115.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
3.0ms
(pow E (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)))

series900.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))) x)
112.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
195.0ms
(pow E (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
262.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify904.0ms

Counts
172 → 172
Iterations

Useful iterations: done (896.0ms)

IterNodesCost
03107455
15875958
214815035
done50004188

prune580.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b))))
0.0b
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
0.4b
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
0.4b
(fma (- (log z) t) y (* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b)))))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
84×prod-diff
78×add-sqr-sqrt
58×add-cube-cbrt
54×distribute-rgt-in distribute-lft-in
46×associate--l+
28×pow1
20×log-pow
19×distribute-lft-out--
13×associate-*r*
12×log-prod
8×add-exp-log add-cbrt-cube difference-of-squares
6×sub-neg associate-*l*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
4 → 179
Calls
4 calls:
27.0ms
(* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b))))
113.0ms
(* 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)))
0.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b)))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b))))
109.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
252.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
254.0ms
(fma (- (log z) t) y (* a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma 1.0 z b)))))

simplify891.0ms

Counts
191 → 191
Iterations

Useful iterations: done (882.0ms)

IterNodesCost
03369054
15926602
213395170
done50014017

prune699.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03360
14060
24260
done4260

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.2s41234×body80nan
760.0ms12589×body80valid
122.0ms352×body640valid
97.0ms460×body320valid
49.0ms67×body1280valid
36.0ms281×body160valid