Details

Time bar (total: 22.4s)

sample44.0ms

Algorithm
intervals
Results
20.0ms267×body80valid

simplify7.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02633
14826
210226
329226
475126
5185626
6288326
7329226
8381326
done500126

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.8b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 99
Calls
4 calls:
80.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
25.0ms
(* (+ (* x y) z) y)
49.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
117.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series538.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms
(* (+ (* x y) z) y)
62.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
357.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts
111 → 111
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02032757
15252200
219052018
done50002014

prune625.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.5b

localize29.0ms

Local error

Found 4 expressions with local error:

20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
26.8b
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 66
Calls
4 calls:
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
138.0ms
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series988.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
196.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
199.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
394.0ms
(/ (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01533316
13673055
210581957
339591780
done50001777

prune500.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.1b
(* (fma (fma x y z) y 27464.7644705) y)
0.4b
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t)))
26.8b
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
19×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod fma-udef inv-pow unswap-sqr
Counts
4 → 137
Calls
4 calls:
0.0ms
(fma (fma x y z) y 27464.7644705)
7.0ms
(* (fma (fma x y z) y 27464.7644705) y)
12.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t)))
5.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t))

series1.3s

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma (fma x y z) y 27464.7644705)
54.0ms
(* (fma (fma x y z) y 27464.7644705) y)
478.0ms
(/ 1 (/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t)))
761.0ms
(/ (fma (fma (fma (+ y a) y b) y c) y i) (fma (+ 230661.510616 (* (fma (fma x y z) y 27464.7644705) y)) y t))

simplify1.9s

Counts
149 → 149
Iterations

Useful iterations: 3 (822.0ms)

IterNodesCost
02135363
14205138
29474555
332294533
done50014533

prune593.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 26.5b

localize27.0ms

Local error

Found 4 expressions with local error:

20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
20.4b
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
26.9b
(* (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-exp-log *-un-lft-identity associate-*r*
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
6×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* unswap-sqr
2×frac-times flip3-+ div-exp associate-*l/ cbrt-unprod flip-+
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
4.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
3.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
5.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
185.0ms
(* (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series1.0s

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
199.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
206.0ms
(cbrt (* (fma (fma x y z) y 27464.7644705) y))
401.0ms
(* (+ (* (+ (* (* (cbrt (* (fma (fma x y z) y 27464.7644705) y)) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) (cbrt (* (fma (fma x y z) y 27464.7644705) y))) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify2.1s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
01723590
14203369
212092039
344031844
done50001844

prune499.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.5b

regimes698.0ms

Accuracy

0% (1.0b remaining)

Error of 28.7b against oracle of 27.8b and baseline of 28.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
done4133

end0.0ms

sample999.0ms

Algorithm
intervals
Results
505.0ms8224×body80valid