Details

Time bar (total: 12.5s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms226×body80nan

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01114
12114
24013
36613
49013
511413
612713
712913
done12913

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

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-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))
5.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
9.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
74.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
82.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify752.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
02503612
15683468
225243294
done50003294

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 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
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
0.0b
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
4 → 451
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
5.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
23.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
12.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

series288.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
78.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
83.0ms
(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
85.0ms
(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

simplify611.0ms

Counts
463 → 463
Iterations

Useful iterations: done (593.0ms)

IterNodesCost
061712916
1153811969
done500111181

prune786.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))
0.3b
(cbrt (- x 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
22.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
2.0ms
(cbrt (- x 1.0))
2.0ms
(cbrt (- x 1.0))
2.0ms
(cbrt (- x 1.0))

series416.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
96.0ms
(cbrt (- x 1.0))
97.0ms
(cbrt (- x 1.0))
100.0ms
(cbrt (- x 1.0))

simplify2.4s

Counts
121 → 121
Iterations

Useful iterations: 3 (600.0ms)

IterNodesCost
01711613
13891464
213141384
349171286
done50001286

prune359.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1.0))
0.3b
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0))))
0.3b
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
0.6b
(* (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))))) (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0)))))

rewrite644.0ms

Algorithm
rewrite-expression-head
Rules
1802×times-frac
1219×add-sqr-sqrt
907×sqrt-prod
873×*-un-lft-identity
715×add-cube-cbrt
423×cbrt-prod
329×associate-*r*
184×cbrt-div
134×associate-/r/
113×associate-*l*
92×flip3-- flip--
79×distribute-lft-out-- difference-of-squares
77×unswap-sqr
72×add-exp-log associate-/r*
59×add-cbrt-cube
53×frac-times
35×cbrt-undiv div-exp
30×div-inv
27×associate-*r/ associate-*l/
16×prod-exp cbrt-unprod
12×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 1126
Calls
4 calls:
2.0ms
(cbrt (- x 1.0))
22.0ms
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0))))
16.0ms
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
499.0ms
(* (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))))) (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- x 1.0))
338.0ms
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0))))
364.0ms
(/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))))
343.0ms
(* (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))))) (/ (sqrt 6.0) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (- x 1.0)))))

simplify1.0s

Counts
1138 → 1138
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
0116646438
1354643203
done500142529

prune2.6s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes25.0ms

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
11113
done1113

end0.0ms

sample592.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
198.0ms7984×body80nan