Details

Time bar (total: 15.2s)

sample55.0ms

Algorithm
intervals
Results
27.0ms263×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
73129
6793
5262
4114
364
239
125
013

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* z y) x) (- (* z t) x)))
0.0b
(- (* z y) x)
0.7b
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
6.7b
(/ (- (* z y) x) (- (* z t) x))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
25×times-frac
24×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-cbrt-cube add-exp-log add-log-exp
7×associate-/r* associate-/l*
4×expm1-log1p-u pow1 div-sub associate-/r/ log1p-expm1-u associate-/l/
3×fma-def flip3-+ flip3-- prod-diff flip-+ flip--
2×cbrt-undiv clear-num associate-+r- frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg fma-neg diff-log
Counts
4 → 113
Calls
4 calls:
32.0ms
(+ x (/ (- (* z y) x) (- (* z t) x)))
7.0ms
(- (* z y) x)
107.0ms
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
27.0ms
(/ (- (* z y) x) (- (* z t) x))

series542.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(+ x (/ (- (* z y) x) (- (* z t) x)))
41.0ms
(- (* z y) x)
248.0ms
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
97.0ms
(/ (- (* z y) x) (- (* z t) x))

simplify1.5s

Counts
125 → 125
Iterations
IterNodes
done5002
22184
1484
0181

prune969.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ z (fma t z (- x))) y x)
0.7b
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
1.5b
(/ x (- (* z t) x))
6.5b
(/ z (fma t z (- x)))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×*-un-lft-identity
47×times-frac
32×add-cube-cbrt
12×associate-/l*
10×associate-/r* add-cbrt-cube add-exp-log difference-of-squares
7×distribute-lft-out
5×distribute-lft-out--
4×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
2×flip3-- flip-- associate-/l/
1×flip3-+ div-sub flip-+ fma-udef
Counts
4 → 123
Calls
4 calls:
1.0ms
(fma (/ z (fma t z (- x))) y x)
158.0ms
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
15.0ms
(/ x (- (* z t) x))
7.0ms
(/ z (fma t z (- x)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(fma (/ z (fma t z (- x))) y x)
192.0ms
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
83.0ms
(/ x (- (* z t) x))
74.0ms
(/ z (fma t z (- x)))

simplify932.0ms

Counts
135 → 135
Iterations
IterNodes
done5000
21909
1517
0225

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z y) x)
0.1b
(/ 1 (/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x)))
0.8b
(/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x))
6.7b
(/ (- (* z y) x) (fma t z (- x)))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
166×*-un-lft-identity
155×times-frac
82×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
29×associate-/r*
19×add-exp-log
13×add-cbrt-cube
11×associate-/r/
10×associate-/l*
9×div-exp
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u associate-/l/
3×clear-num frac-2neg prod-diff
2×rec-exp flip3-- 1-exp flip--
1×sub-neg fma-neg diff-log div-sub pow-flip inv-pow
Counts
4 → 206
Calls
4 calls:
13.0ms
(- (* z y) x)
83.0ms
(/ 1 (/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x)))
75.0ms
(/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x))
23.0ms
(/ (- (* z y) x) (fma t z (- x)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* z y) x)
234.0ms
(/ 1 (/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x)))
195.0ms
(/ (+ 1.0 x) (+ (/ (- (* z y) x) (fma t z (- x))) x))
103.0ms
(/ (- (* z y) x) (fma t z (- x)))

simplify1.6s

Counts
218 → 218
Iterations
IterNodes
done5000
23728
1725
0277

prune962.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x))
1.5b
(/ x (fma z t (- x)))
6.5b
(/ z (fma z t (- x)))
13.3b
(cbrt (pow (/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x)) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
54×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
18×unpow-prod-down cube-prod
10×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out
9×associate-/l*
6×associate-/r/
5×div-inv
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+
1×cube-div cube-mult cbrt-div pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 147
Calls
4 calls:
9.0ms
(/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x))
4.0ms
(/ x (fma z t (- x)))
4.0ms
(/ z (fma z t (- x)))
11.0ms
(cbrt (pow (/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x)) 3))

series599.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x))
87.0ms
(/ x (fma z t (- x)))
44.0ms
(/ z (fma z t (- x)))
227.0ms
(cbrt (pow (/ (fma y (/ z (fma z t (- x))) (- x (/ x (fma z t (- x))))) (+ 1.0 x)) 3))

simplify1.1s

Counts
159 → 159
Iterations
IterNodes
done5001
23204
1625
0241

prune850.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes295.0ms

Accuracy

19.9% (1.8b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.4b

bsearch59.0ms

Steps
ItersRangePoint
8
3.629363663273563e+148
6.230837794676611e+152
6.115713482054993e+152

simplify2.0ms

Iterations
IterNodes
done24
124
021

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s8307×body80valid