Details

Time bar (total: 2.1m)

sample51.0ms

Algorithm
intervals
Results
23.0ms266×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02633
14133
28833
326433
482433
5291633
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
30.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite363.0ms

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×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 → 91
Calls
4 calls:
67.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
101.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
42.0ms
(* (+ (* (+ y a) y) b) y)
150.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series607.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
104.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
41.0ms
(* (+ (* (+ y a) y) b) y)
392.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts
103 → 103
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01972669
15302621
228872377
done50022375

prune874.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 30.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.4b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.2b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite579.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod 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 → 115
Calls
4 calls:
109.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
46.0ms
(* (+ (* (+ y a) y) b) y)
88.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
329.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series799.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
45.0ms
(* (+ (* (+ y a) y) b) y)
105.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
541.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify4.6s

Counts
127 → 127
Iterations

Useful iterations: 2 (865.0ms)

IterNodesCost
02103521
15913372
245102991
done50002991

prune777.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
30.4b
(/ (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite594.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×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 → 64
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
589.0ms
(/ (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.8s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt y)
295.0ms
(cbrt y)
652.0ms
(cbrt y)
580.0ms
(/ (+ (* (+ (* (* (* (cbrt y) (cbrt y)) (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify727.0ms

Counts
76 → 76
Iterations

Useful iterations: done (723.0ms)

IterNodesCost
01132109
12742086
210021742
done50001591

prune648.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 30.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))
0.1b
(* (+ (* (+ y a) y) b) y)
0.4b
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705)))))))
30.5b
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv add-log-exp
2×rec-exp frac-2neg 1-exp associate-*r/ pow-prod-down associate-*l/ prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×distribute-rgt-in pow-flip distribute-lft-in inv-pow
Counts
4 → 157
Calls
4 calls:
33.0ms
(* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))
62.0ms
(* (+ (* (+ y a) y) b) y)
36.0ms
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705)))))))
112.0ms
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))))

series1.7m

Counts
4 → 12
Calls
4 calls:
88.0ms
(* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))
64.0ms
(* (+ (* (+ y a) y) b) y)
1.7m
(/ 1 (/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705)))))))
967.0ms
(/ (+ i (* (+ (* (+ (* (+ y a) y) b) y) c) y)) (+ t (* y (+ 230661.510616 (* y (+ (* (+ (* x y) z) y) 27464.7644705))))))

simplify522.0ms

Counts
169 → 169
Iterations

Useful iterations: done (511.0ms)

IterNodesCost
02827338
17967008
done50006592

prune971.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 30.2b

regimes723.0ms

Accuracy

0% (1.2b remaining)

Error of 29.5b against oracle of 28.4b and baseline of 29.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02835
14635
done4635

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s8255×body80valid