Details

Time bar (total: 29.7s)

sample64.0ms

Algorithm
intervals
Results
33.0ms278×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5004
52954
41007
3333
2114
155
030

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
1.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
12×*-un-lft-identity add-cube-cbrt
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
20.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
40.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
147.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
116.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series860.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
55.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
206.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
505.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.4s

Counts
103 → 103
Iterations
IterNodes
done5006
22300
1602
0210

prune953.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.1b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
18×associate-/r*
15×add-cbrt-cube add-exp-log
11×associate-/r/
8×pow1 flip3-+ flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv div-exp associate-*l/ insert-posit16 add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 153
Calls
4 calls:
39.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
40.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
137.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
123.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series1.0s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
62.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
636.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
206.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify3.0s

Counts
165 → 165
Iterations
IterNodes
done5004
22892
1797
0302

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize83.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 11.1667541262 (* 3.13060547623 z)) z)
0.1b
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z)
0.1b
(* y (/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z))))))
25.1b
(/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)))))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
21×associate-*r*
19×times-frac
15×add-cbrt-cube add-exp-log
10×pow1
9×associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×associate-/r* pow-prod-down *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×clear-num frac-2neg associate-*r/
Counts
4 → 109
Calls
4 calls:
18.0ms
(* (+ 11.1667541262 (* 3.13060547623 z)) z)
49.0ms
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z)
26.0ms
(* y (/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z))))))
57.0ms
(/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (+ 11.1667541262 (* 3.13060547623 z)) z)
55.0ms
(* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z)
903.0ms
(* y (/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z))))))
573.0ms
(/ (+ b (* z (+ (* (+ (* (+ 11.1667541262 (* 3.13060547623 z)) z) t) z) a))) (+ 0.607771387771 (* z (+ 11.9400905721 (* (+ (* z (+ 15.234687407 z)) 31.4690115749) z)))))

simplify2.8s

Counts
121 → 121
Iterations
IterNodes
done5004
22439
1635
0229

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize122.0ms

Local error

Found 4 expressions with local error:

25.1b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
27.6b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
27.6b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
27.6b
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

rewrite587.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×cbrt-div add-cbrt-cube associate-*l/ add-exp-log
5×flip3-+ flip-+
4×pow1 insert-posit16 add-log-exp
3×cbrt-prod associate-/r* pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 68
Calls
4 calls:
515.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
23.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
16.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
33.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

series1.2s

Counts
4 → 12
Calls
4 calls:
312.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (* (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) (cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))) a) z) b))
280.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
340.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))
274.0ms
(cbrt (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z))

simplify3.3s

Counts
80 → 80
Iterations
IterNodes
done5002
34972
21140
1377
0156

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes1.3s

Accuracy

97.4% (0.7b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 27.1b

bsearch431.0ms

Steps
ItersRangePoint
9
2.2698944026945608e+54
6.0276840188331816e+63
4.8590408174333496e+55
9
-5.982835699292103e+42
-6.060579516717037e+36
-3.9856954798303585e+39

simplify14.0ms

Iterations
IterNodes
done70
170
046

end1.0ms

sample2.5s

Algorithm
intervals
Results
2.1s8843×body80valid