Details

Time bar (total: 35.3s)

sample92.0ms

Algorithm
intervals
Results
48.0ms256×body80nan
19.0ms256×body80valid

simplify240.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
94×add-sqr-sqrt *-un-lft-identity
66×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 132
Calls
2 calls:
10.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
74.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

series534.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
430.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

simplify3.5s

Counts
138 → 138
Iterations
IterNodes
done5002
21977
1663
0226

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
0.0b
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
0.2b
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×associate-/r*
18×add-exp-log add-cbrt-cube
12×div-inv associate-/l*
8×cbrt-undiv div-exp
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/r/
Counts
4 → 202
Calls
4 calls:
10.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
10.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
40.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))
34.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

series487.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
85.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
130.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))
180.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

simplify3.4s

Counts
214 → 214
Iterations
IterNodes
done5000
22253
1735
0290

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
0.1b
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x))))
0.2b
(/ 1.0 (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x)))))
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
555×times-frac
281×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
73×associate-/r*
41×add-exp-log
28×div-inv
25×div-exp add-cbrt-cube
13×cbrt-undiv
12×associate-/l*
7×associate-/r/
5×pow1
4×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
4 → 381
Calls
4 calls:
11.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
20.0ms
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x))))
42.0ms
(/ 1.0 (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x)))))
21.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

series478.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0)
89.0ms
(/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x))))
124.0ms
(/ 1.0 (/ 1 (/ 6.0 (fma (sqrt x) 4.0 (+ 1.0 x)))))
171.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ 1.0 x)) 6.0))

simplify5.5s

Counts
393 → 393
Iterations
IterNodes
done5000
24082
11637
0618

prune5.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize2.6s

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
0.3b
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
8.0ms
(cbrt (- x 1.0))
2.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
2.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
2.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))

series950.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (- x 1.0))
282.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
241.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))
256.0ms
(cbrt (fma (sqrt x) 4.0 (+ 1.0 x)))

simplify5.2s

Counts
68 → 68
Iterations
IterNodes
done5001
32687
2858
1329
0140

prune950.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
862.0ms8000×body80valid
825.0ms7895×body80nan