Details

Time bar (total: 9.8s)

sample45.0ms

Algorithm
intervals
Results
14.0ms312×body80nan
14.0ms256×body80valid

simplify119.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
2 → 80
Calls
2 calls:
32.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
18.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
86.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.1s

Counts
86 → 86
Iterations
IterNodes
done5000
21466
1349
0134

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.0b
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
228×add-sqr-sqrt
203×sqrt-prod
197×*-un-lft-identity
180×times-frac
93×add-cube-cbrt
58×associate-*r*
52×difference-of-squares
34×associate-*l*
26×distribute-lft-out distribute-lft-out--
20×add-cbrt-cube add-exp-log
14×associate-/l*
12×associate-/r*
9×unswap-sqr
7×pow1
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp associate-/l/
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ flip--
Counts
4 → 281
Calls
4 calls:
1.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
113.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
28.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
29.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
414.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
240.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
263.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify1.4s

Counts
293 → 293
Iterations
IterNodes
done5000
11000
0329

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.2b
(* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.2b
(* (* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
0.3b
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
100×times-frac
97×*-un-lft-identity
69×add-cube-cbrt
56×associate-*r* sqrt-prod
54×add-exp-log
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1 distribute-lft-out-- difference-of-squares
12×associate-/r* cbrt-unprod
8×cbrt-undiv associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-*l* pow-prod-down associate-*r/ log1p-expm1-u div-inv add-log-exp
3×un-div-inv pow-flip
2×frac-times clear-num frac-2neg associate-*l/ *-commutative associate-/l/
1×sqrt-pow1 flip3-- pow1/2 div-sub flip-- inv-pow
Counts
4 → 222
Calls
4 calls:
9.0ms
(/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
22.0ms
(* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
55.0ms
(* (* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
29.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
123.0ms
(* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
108.0ms
(* (* 6.0 (/ 1 (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))) (/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))))
176.0ms
(/ (- x 1.0) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify977.0ms

Counts
234 → 234
Iterations
IterNodes
done5000
1843
0289

prune999.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
763.0ms8000×body80valid
422.0ms7998×body80nan