Details

Time bar (total: 14.6s)

sample62.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
21.0ms229×body80nan

simplify123.0ms

Counts
1 → 1
Iterations
IterNodes
done129
8129
7128
6126
5109
484
362
238
121
011

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 156
Calls
3 calls:
8.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
10.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
123.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done5002
22096
1631
0254

prune606.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
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)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 93
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
27.0ms
(* 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)))

series230.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
90.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
98.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.2s

Counts
102 → 102
Iterations
IterNodes
done5000
34816
21164
1371
0147

prune330.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
0.1b
(exp (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
171×add-sqr-sqrt *-un-lft-identity
121×add-cube-cbrt
68×exp-prod
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
11×add-cbrt-cube add-exp-log
10×div-inv
8×flip3-- flip--
6×associate-/l*
5×add-log-exp
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×clear-num frac-2neg
1×fma-udef rem-exp-log
Counts
4 → 235
Calls
4 calls:
16.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
14.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
20.0ms
(exp (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
48.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
99.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
143.0ms
(exp (/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))

simplify1.7s

Counts
247 → 247
Iterations
IterNodes
done5000
22495
1756
0339

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
72×*-un-lft-identity
60×times-frac
57×exp-prod
46×add-cube-cbrt
40×log-pow
23×associate-*r*
13×distribute-lft-out-- difference-of-squares
9×log-prod
8×pow1 add-cbrt-cube add-exp-log
5×associate-/l* add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv
3×distribute-rgt-in associate-/r* distribute-lft-in div-sub associate-*l*
2×exp-diff associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-exp rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr rem-exp-log
Counts
4 → 154
Calls
4 calls:
64.0ms
(* 6.0 (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
11.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
17.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* 6.0 (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))))
123.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
94.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
96.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.4s

Counts
166 → 166
Iterations
IterNodes
done5000
34940
21272
1471
0221

prune622.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8000×body80valid
811.0ms7961×body80nan