Details

Time bar (total: 33.2s)

sample90.0ms

Algorithm
intervals
Results
41.0ms260×body80valid

simplify11.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (11.0ms)

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: 28.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
28.3b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite334.0ms

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:
70.0ms
(* (+ (* (+ y a) y) b) y)
80.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms
(* (+ (* x y) z) y)
151.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series727.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* (+ y a) y) b) y)
69.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms
(* (+ (* x y) z) y)
519.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.6s

Counts
111 → 111
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02012585
15332103
219861911
done50001907

prune958.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log
20×times-frac
19×associate-*r*
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×associate-*l/ prod-exp
5×unswap-sqr
4×expm1-log1p-u flip3-+ div-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 119
Calls
4 calls:
77.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.0ms
(* (+ (* x y) z) y)
7.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
228.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

series764.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
46.0ms
(* (+ (* x y) z) y)
95.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
537.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)))

simplify1.6s

Counts
131 → 131
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02003084
14972610
217042332
done50002317

prune922.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.5b

localize59.0ms

Local error

Found 4 expressions with local error:

17.4b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
24.9b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv cbrt-div div-exp
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 64
Calls
4 calls:
33.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

series1.6s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
243.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
235.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
839.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (cbrt (fma (fma (fma (+ y a) y b) y c) y i)) (cbrt (fma (fma (fma (+ y a) y b) y c) y i))))

simplify1.5s

Counts
76 → 76
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01302245
12792120
26941852
322101790
done50001789

prune883.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.2b

localize49.0ms

Local error

Found 4 expressions with local error:

15.2b
(/ (* (/ 1 (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
17.4b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
17.4b
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
17×div-exp
15×cbrt-prod
13×add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-undiv
8×prod-exp
6×times-frac associate-/r*
4×pow1 expm1-log1p-u cbrt-div cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 associate-/l/
2×rec-exp flip3-+ 1-exp associate-/r/ flip-+
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
112.0ms
(/ (* (/ 1 (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
30.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
1.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

series1.9s

Counts
4 → 12
Calls
4 calls:
1.2s
(/ (* (/ 1 (cbrt (fma (fma (fma (+ y a) y b) y c) y i))) (/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (cbrt (fma (fma (fma (+ y a) y b) y c) y i)))) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
233.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
222.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))
240.0ms
(cbrt (fma (fma (fma (+ y a) y b) y c) y i))

simplify2.6s

Counts
97 → 97
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01634167
13603890
211253298
done50002556

prune820.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.1b

regimes1.5s

Accuracy

89.6% (2.1b remaining)

Error of 11.2b against oracle of 9.1b and baseline of 29.1b

bsearch348.0ms

Steps
ItersRangePoint
9
5.5948430977787605e+100
3.2392840095267677e+106
5.660347026355408e+100
8
-1.1370323170418813e+44
-2.0501759922108544e+40
-1.1154426380429388e+44

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03776
14872
done4872

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.9s8221×body80valid