Details

Time bar (total: 17.7s)

sample197.0ms

Algorithm
intervals
Results
81.0ms1490×body80nan
36.0ms505×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
01718
13317
27217
317116
449816
5193016
done500116

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (log z))
0.3b
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
24×exp-sum
19×associate-*r*
18×prod-diff
13×add-cbrt-cube
11×add-exp-log
10×add-log-exp
9×pow1
6×log-prod associate-*l*
5×exp-prod
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-in distribute-lft-in times-frac exp-diff prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv sub-neg diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative unswap-sqr
1×frac-2neg clear-num sum-log log-pow div-inv associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
4.0ms
(* y (log z))
120.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
86.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
35.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series487.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* y (log z))
154.0ms
(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
175.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
120.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02392543
15022261
212961821
done50011639

prune467.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (- (log a)) t b)
0.2b
(* (log z) y)
0.3b
(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
0.8b
(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
63×associate-*r*
62×times-frac
52×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
35×exp-sum
26×add-exp-log
25×unpow-prod-down
21×prod-diff
20×add-cbrt-cube
11×div-exp
9×pow1 prod-exp sqr-pow
7×sub-neg associate-*l*
5×cbrt-undiv cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow-to-exp associate-*r/ pow-prod-down pow-exp *-commutative div-inv
1×frac-2neg clear-num log-pow fma-udef associate-/l/ associate-/l*
Counts
4 → 144
Calls
4 calls:
0.0ms
(fma (- (log a)) t b)
3.0ms
(* (log z) y)
52.0ms
(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
30.0ms
(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

series834.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma (- (log a)) t b)
62.0ms
(* (log z) y)
290.0ms
(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
402.0ms
(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

simplify807.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
03143180
17602762
224072433
done50002433

prune701.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (- (log z)) (- b (* (log a) t)))
0.3b
(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
0.3b
(* (log a) t)
0.8b
(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
78×add-sqr-sqrt
73×div-exp
57×times-frac
52×unpow-prod-down pow-exp
49×prod-exp
37×*-un-lft-identity
32×associate-*r*
31×add-cube-cbrt
20×associate-*l* add-cbrt-cube
19×unswap-sqr
16×pow-to-exp
12×rec-exp 1-exp
10×sqr-pow
7×pow1
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×exp-sum associate-/r* div-inv
2×associate-*l/ *-commutative
1×frac-2neg pow-prod-down clear-num log-pow associate-/l/ associate-/l*
Counts
4 → 179
Calls
4 calls:
0.0ms
(fma y (- (log z)) (- b (* (log a) t)))
43.0ms
(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
4.0ms
(* (log a) t)
19.0ms
(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

series798.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(fma y (- (log z)) (- b (* (log a) t)))
336.0ms
(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
62.0ms
(* (log a) t)
332.0ms
(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

simplify1.0s

Counts
191 → 191
Iterations

Useful iterations: 2 (494.0ms)

IterNodesCost
03684933
19224699
225634115
done50004115

prune747.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (- (log z)) (- b (- (* t (- (log a))))))
0.3b
(* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0))
0.3b
(* t (- (log a)))
0.8b
(/ (* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
124×add-exp-log
82×add-sqr-sqrt
73×div-exp
57×times-frac
52×unpow-prod-down pow-exp
49×prod-exp
41×*-un-lft-identity associate-*r*
35×add-cube-cbrt
20×add-cbrt-cube
19×associate-*l* unswap-sqr
16×pow-to-exp
12×rec-exp 1-exp
10×sqr-pow
8×pow1
6×log-prod distribute-neg-in
5×cbrt-undiv cbrt-unprod
4×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in fma-udef log1p-expm1-u add-log-exp
3×distribute-rgt-in distribute-lft-in exp-sum associate-/r* div-inv
2×associate-*l/ log-pow *-commutative
1×neg-mul-1 frac-2neg pow-prod-down clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 194
Calls
4 calls:
0.0ms
(fma y (- (log z)) (- b (- (* t (- (log a))))))
45.0ms
(* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0))
7.0ms
(* t (- (log a)))
16.0ms
(/ (* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

series745.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(fma y (- (log z)) (- b (- (* t (- (log a))))))
320.0ms
(* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0))
37.0ms
(* t (- (log a)))
326.0ms
(/ (* (/ x (exp (fma y (- (log z)) (- b (- (* t (- (log a)))))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

simplify1.0s

Counts
206 → 206
Iterations

Useful iterations: 2 (494.0ms)

IterNodesCost
04015461
110025216
227184243
done50014243

prune760.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes338.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 2 (2.0ms)

IterNodesCost
02326
13326
23824
34324
44824
done4824

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.4s45653×body80nan
1.0s15039×body80valid