Details

Time bar (total: 16.8s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms253×body80nan

simplify139.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
011284
121284
241259
370259
499259
5128259
6141259
7143259
done143259

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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

rewrite37.0ms

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 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×fma-udef
Counts
3 → 153
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
9.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
20.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
75.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
88.0ms
(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify2.4s

Counts
162 → 162
Iterations

Useful iterations: done (2.3s)

IterNodesCost
025177385
163271808
2305269916
done500069713

prune742.0ms

Pruning

5 alts after pruning (5 fresh and 0 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))))
0.0b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite46.0ms

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* 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 → 90
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))))
14.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
110.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
97.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.3s

Counts
99 → 99
Iterations

Useful iterations: done (1.3s)

IterNodesCost
014433276
137430714
2154129916
done500129836

prune471.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
122×*-un-lft-identity
116×add-sqr-sqrt
106×times-frac
64×add-cube-cbrt
26×distribute-lft-out--
25×swap-sqr
20×add-cbrt-cube add-exp-log difference-of-squares
19×associate-*r* associate-*l*
11×pow1
10×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv associate-/r* div-exp associate-*l/ div-inv
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-- div-sub flip--
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 192
Calls
4 calls:
14.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
20.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
63.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
87.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
101.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
117.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
101.0ms
(cbrt (* (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))

simplify2.9s

Counts
204 → 204
Iterations

Useful iterations: done (2.9s)

IterNodesCost
020783700
167478415
2428676765
done500076740

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
119×*-un-lft-identity
113×add-sqr-sqrt
106×times-frac
63×add-cube-cbrt
25×swap-sqr distribute-lft-out--
20×cbrt-prod
19×associate-*r* associate-*l* difference-of-squares
18×add-cbrt-cube add-exp-log
11×pow1
6×div-inv
5×cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u cbrt-div prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×frac-times pow1/3 associate-*l/ associate-*r/ associate-/l/
1×pow2 clear-num frac-2neg pow-plus flip3-- div-sub pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 177
Calls
4 calls:
13.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
4.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
11.0ms
(cbrt (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
45.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
258.0ms
(cbrt (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
301.0ms
(cbrt (* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
116.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))

simplify3.2s

Counts
189 → 189
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
026384171
178278019
2473976079
done500076079

prune1.0s

Pruning

4 alts after pruning (1 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010259
112259
done12259

end0.0ms

sample1.5s

Algorithm
intervals
Results
801.0ms8000×body80valid
428.0ms7946×body80nan