Details

Time bar (total: 14.8s)

sample48.0ms

Algorithm
intervals
Results
26.0ms265×body80valid

simplify1.5s

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* z y) x) (- (* z t) x)))
0.0b
(- (* z y) x)
0.2b
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
9.8b
(/ (- (* z y) x) (- (* z t) x))

rewrite265.0ms

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:
38.0ms
(+ x (/ (- (* z y) x) (- (* z t) x)))
7.0ms
(- (* z y) x)
173.0ms
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
44.0ms
(/ (- (* z y) x) (- (* z t) x))

series427.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ x (/ (- (* z y) x) (- (* z t) x)))
32.0ms
(- (* z y) x)
192.0ms
(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
72.0ms
(/ (- (* z y) x) (- (* z t) x))

simplify1.6s

Counts
125 → 125
Iterations
IterNodes
done5002
22184
1484
0181

prune740.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ z (fma t z (- x))) y x)
0.2b
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
3.1b
(/ x (- (* z t) x))
7.9b
(/ z (fma t z (- x)))

rewrite137.0ms

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:
0.0ms
(fma (/ z (fma t z (- x))) y x)
111.0ms
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
16.0ms
(/ x (- (* z t) x))
4.0ms
(/ z (fma t z (- x)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(fma (/ z (fma t z (- x))) y x)
226.0ms
(/ (- (fma (/ z (fma t z (- x))) y x) (/ x (- (* z t) x))) (+ 1.0 x))
80.0ms
(/ x (- (* z t) x))
51.0ms
(/ z (fma t z (- x)))

simplify993.0ms

Counts
135 → 135
Iterations
IterNodes
done5000
21909
1517
0225

prune912.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (fma (/ 1 (/ (fma z t (- x)) z)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
0.7b
(/ 1 (/ (fma z t (- x)) z))
3.1b
(/ x (- (* z t) x))
7.8b
(/ (fma z t (- x)) z)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
99×add-sqr-sqrt
98×*-un-lft-identity
74×add-cube-cbrt
23×associate-/r*
21×add-exp-log
15×add-cbrt-cube associate-/l*
10×div-exp difference-of-squares
8×div-inv
7×distribute-lft-out
6×cbrt-undiv
5×pow1 associate-/r/ distribute-lft-out--
4×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×flip3-+ div-sub flip-+ pow-flip inv-pow
Counts
4 → 191
Calls
4 calls:
123.0ms
(/ (- (fma (/ 1 (/ (fma z t (- x)) z)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
16.0ms
(/ 1 (/ (fma z t (- x)) z))
21.0ms
(/ x (- (* z t) x))
8.0ms
(/ (fma z t (- x)) z)

series419.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(/ (- (fma (/ 1 (/ (fma z t (- x)) z)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
56.0ms
(/ 1 (/ (fma z t (- x)) z))
100.0ms
(/ x (- (* z t) x))
57.0ms
(/ (fma z t (- x)) z)

simplify1.3s

Counts
203 → 203
Iterations
IterNodes
done5002
23266
1767
0309

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

7.8b
(/ (fma z t (- x)) z)
8.3b
(cbrt (fma z t (- x)))
8.3b
(cbrt (fma z t (- x)))
8.3b
(cbrt (fma z t (- x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×associate-/r* pow1/3 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 68
Calls
4 calls:
10.0ms
(/ (fma z t (- x)) z)
1.0ms
(cbrt (fma z t (- x)))
1.0ms
(cbrt (fma z t (- x)))
1.0ms
(cbrt (fma z t (- x)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ (fma z t (- x)) z)
185.0ms
(cbrt (fma z t (- x)))
178.0ms
(cbrt (fma z t (- x)))
166.0ms
(cbrt (fma z t (- x)))

simplify998.0ms

Counts
80 → 80
Iterations
IterNodes
done5001
32075
2450
1186
097

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes336.0ms

Accuracy

0% (1.9b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done25
125
021

end0.0ms

sample1.2s

Algorithm
intervals
Results
795.0ms8343×body80valid