Details

Time bar (total: 16.2s)

sample39.0ms

Algorithm
intervals
Results
12.0ms309×body80nan
11.0ms256×body80valid

simplify173.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01114
12114
24113
36913
49413
511813
613113
713313
done13313

prune10.0ms

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

rewrite48.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
24.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
96.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
117.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.2s

Counts
162 → 162
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02503612
15483468
218733294
done50003288

prune563.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

rewrite53.0ms

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-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
31.0ms
(* 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)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
88.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
103.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01431667
13491615
29561455
330681453
done50011452

prune292.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt *-un-lft-identity
60×times-frac
57×cbrt-prod
41×add-cube-cbrt
13×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
Counts
4 → 130
Calls
4 calls:
20.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
5.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
7.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
9.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series893.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
269.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
252.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
288.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify2.1s

Counts
142 → 142
Iterations

Useful iterations: 3 (709.0ms)

IterNodesCost
01553106
13313015
28712846
328062821
done50012821

prune569.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
576×times-frac
360×cbrt-prod
339×add-sqr-sqrt
333×*-un-lft-identity
219×add-cube-cbrt
111×associate-/r/
110×cbrt-div
54×distribute-lft-out--
48×difference-of-squares
43×div-inv
30×swap-sqr
27×frac-times associate-*r/ associate-*l/
25×associate-/r*
24×associate-*r* associate-*l*
20×add-exp-log
16×flip3-- flip--
13×associate-/l*
11×pow1 add-cbrt-cube
9×unswap-sqr
7×cbrt-undiv pow1/3 div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative associate-/l/
Counts
4 → 462
Calls
4 calls:
6.0ms
(cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
23.0ms
(/ 6.0 (* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))
86.0ms
(* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
62.0ms
(/ (/ 6.0 (* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))
337.0ms
(/ 6.0 (* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))))
324.0ms
(* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))
124.0ms
(/ (/ 6.0 (* (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))) (cbrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))))

simplify2.2s

Counts
474 → 474
Iterations

Useful iterations: done (2.2s)

IterNodesCost
071323876
1146022541
2387521862
done500019205

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s8000×body80valid
422.0ms8101×body80nan