Details

Time bar (total: 27.9s)

sample331.0ms

Algorithm
intervals
Results
152.0ms1229×body80nan
39.0ms398×body80valid
6.0ms12×body640valid
5.0ms14×body320valid
3.0ms2×body1280valid
2.0ms10×body160valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01718
13117
26217
313517
437917
5136017
done500017

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize19.0ms

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)))
7.4b
(log (- 1.0 z))

rewrite29.0ms

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:
19.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
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)))
7.0ms
(log (- 1.0 z))

series943.0ms

Counts
4 → 12
Calls
4 calls:
432.0ms
(* (exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))) x)
206.0ms
(exp (fma y (- (log z) t) (* a (- (log (- 1.0 z)) b))))
258.0ms
(fma y (- (log z) t) (* a (- (log (- 1.0 z)) b)))
47.0ms
(log (- 1.0 z))

simplify708.0ms

Counts
75 → 75
Iterations

Useful iterations: done (705.0ms)

IterNodesCost
01591277
13601231
211451081
done50011064

prune463.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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)))) x)
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)))

rewrite196.0ms

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:
158.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
25.0ms
(* (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)
3.0ms
(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
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
112.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
360.0ms
(* (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)
254.0ms
(exp (fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
374.0ms
(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
157 → 157
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02886764
16385405
222924431
done50003663

prune689.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

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:
184.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
23.0ms
(* (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)
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)))

series1.3s

Counts
4 → 12
Calls
4 calls:
151.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
522.0ms
(* (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)
303.0ms
(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))))
353.0ms
(fma y (- (log z) t) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))

simplify2.4s

Counts
172 → 172
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03107455
17216010
229255068
done50014942

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (log z) t) y)
0.2b
(* (- (log z) t) y)
0.5b
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
0.5b
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×associate-*l*
10×pow1
8×add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u distribute-lft-out-- add-log-exp
2×flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
4 → 70
Calls
4 calls:
38.0ms
(* (- (log z) t) y)
47.0ms
(* (- (log z) t) y)
1.0ms
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
1.0ms
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

series968.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (- (log z) t) y)
169.0ms
(* (- (log z) t) y)
322.0ms
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))
322.0ms
(fma a (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (fma 1.0 z b))) (* (- (log z) t) y))

simplify723.0ms

Counts
82 → 82
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
0991234
12231206
27491060
done50001042

prune787.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
12628
done2628

end0.0ms

sample12.5s

Algorithm
intervals
Results
5.9s41093×body80nan
2.1s12626×body80valid
186.0ms350×body640valid
173.0ms415×body320valid
63.0ms69×body1280valid
57.0ms275×body160valid