Details

Time bar (total: 35.1s)

sample353.0ms

Algorithm
intervals
Results
141.0ms1305×body80nan
61.0ms400×body80valid
9.0ms15×body640valid
5.0ms11×body320valid
2.0ms11×body160valid
2.0ms2×body1280valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01718
13117
26217
313517
433517
5109117
done500017

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
0.0b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b
(* y (- (log z) t))
4.8b
(log (- 1.0 z))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
72×prod-diff
66×add-sqr-sqrt
65×*-un-lft-identity
56×add-cube-cbrt
53×distribute-rgt-in distribute-lft-in
38×associate-+r+
34×associate-+l+
27×log-prod
26×pow1
22×associate--l+
20×log-pow
10×associate-*r/
9×add-log-exp
7×add-exp-log
6×sub-neg flip3-- associate-*r* add-cbrt-cube flip--
5×distribute-lft-out--
4×expm1-log1p-u frac-add log1p-expm1-u difference-of-squares
3×exp-prod associate-*l*
2×log-div sum-log rem-exp-log
1×+-commutative fma-def flip3-+ rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 182
Calls
4 calls:
42.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
54.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
33.0ms
(* y (- (log z) t))
6.0ms
(log (- 1.0 z))

series726.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
239.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
103.0ms
(* y (- (log z) t))
81.0ms
(log (- 1.0 z))

simplify1.8s

Counts
194 → 194
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03733721
18963076
225372705
done50012583

prune932.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
168×prod-diff
155×*-un-lft-identity
141×add-sqr-sqrt
109×add-cube-cbrt
108×distribute-rgt-in distribute-lft-in
92×associate--l+
74×associate-+r+
46×pow1
38×log-pow
34×associate-+l+
31×distribute-lft-out--
24×log-prod
14×difference-of-squares
13×associate-*r*
12×sub-neg associate-*r/
9×add-log-exp
8×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
4×expm1-log1p-u frac-add log1p-expm1-u
3×exp-prod
2×pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log unswap-sqr
1×+-commutative fma-def flip3-+ exp-sum flip-+
Counts
4 → 300
Calls
4 calls:
106.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
108.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
186.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
37.0ms
(* y (- (log z) t))

series842.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))))
355.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b)))
137.0ms
(* a (- (- (log 1.0) (fma 1/2 (/ (pow z 2) (pow 1.0 2)) (* 1.0 z))) b))
86.0ms
(* y (- (log z) t))

simplify2.2s

Counts
312 → 312
Iterations

Useful iterations: done (2.2s)

IterNodesCost
047411664
110339229
227527955
done50016747

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
28×*-un-lft-identity
26×sqrt-pow1
25×pow1
22×add-cube-cbrt sqrt-prod
19×associate-*l*
18×exp-prod
13×associate-*r*
10×add-exp-log add-cbrt-cube
9×swap-sqr
8×pow1/2 pow-prod-down pow-prod-up
6×pow-sqr unswap-sqr
5×fma-udef
4×expm1-log1p-u exp-sum associate-*l/ log1p-expm1-u distribute-lft-out-- add-log-exp
3×prod-exp *-commutative cbrt-unprod
2×flip3-- log-pow flip-- difference-of-squares
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 123
Calls
4 calls:
1.0ms
(fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
51.0ms
(* (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))) (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))))
45.0ms
(* (- (log z) t) y)
44.0ms
(* (- (log z) t) y)

series848.0ms

Counts
4 → 12
Calls
4 calls:
326.0ms
(fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
242.0ms
(* (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))) (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y)))))
136.0ms
(* (- (log z) t) y)
143.0ms
(* (- (log z) t) y)

simplify2.3s

Counts
135 → 135
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01704563
13463215
29102714
328942612
done50012522

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
0.0b
(pow (sqrt (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))))) 3)
0.1b
(* (- (log z) t) y)
0.1b
(* (- (log z) t) y)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity sqrt-prod
16×add-cube-cbrt
13×pow1
12×associate-*l*
10×unpow-prod-down sqrt-pow1 cube-prod
9×add-exp-log add-cbrt-cube
8×pow-pow
6×associate-*r*
4×expm1-log1p-u associate-*l/ log1p-expm1-u distribute-lft-out-- add-log-exp
3×pow-unpow exp-prod fma-udef
2×flip3-- pow1/2 exp-sum pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
1×cube-mult pow-to-exp unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 107
Calls
4 calls:
1.0ms
(fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
18.0ms
(pow (sqrt (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))))) 3)
34.0ms
(* (- (log z) t) y)
35.0ms
(* (- (log z) t) y)

series1.1s

Counts
4 → 12
Calls
4 calls:
372.0ms
(fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))
506.0ms
(pow (sqrt (sqrt (exp (fma a (- (log 1.0) (fma (/ (pow z 2) (pow 1.0 2)) 1/2 (fma z 1.0 b))) (* (- (log z) t) y))))) 3)
122.0ms
(* (- (log z) t) y)
133.0ms
(* (- (log z) t) y)

simplify4.4s

Counts
119 → 119
Iterations

Useful iterations: done (4.4s)

IterNodesCost
01802898
14222515
210632384
345432353
done50002351

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes328.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02429
12929
done2929

end0.0ms

sample12.9s

Algorithm
intervals
Results
6.0s40944×body80nan
2.1s12467×body80valid
215.0ms378×body640valid
196.0ms384×body320valid
100.0ms70×body1280valid
68.0ms301×body160valid