Details

Time bar (total: 25.5s)

sample61.0ms

Algorithm
intervals
Results
27.0ms280×body80valid

simplify1.9s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.7b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
23.5b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite283.0ms

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 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 → 87
Calls
4 calls:
39.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
36.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
102.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
104.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series899.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
81.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
203.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
574.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.6s

Counts
99 → 99
Iterations
IterNodes
done5001
22188
1594
0206

prune868.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.2b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
22.9b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite443.0ms

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 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 → 105
Calls
4 calls:
52.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
30.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
211.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
145.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.0s

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
104.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
615.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
239.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.2s

Counts
117 → 117
Iterations
IterNodes
done5002
22237
1607
0222

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize99.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
15.5b
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
15.5b
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
22.9b
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z)) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite398.0ms

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 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 → 64
Calls
4 calls:
10.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
10.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
7.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
369.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z)) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series834.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
155.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
143.0ms
(cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))
341.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z)) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) (cbrt (* (+ (* z 3.13060547623) 11.1667541262) z))) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.1s

Counts
76 → 76
Iterations
IterNodes
done5001
21539
1487
0193

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.2b
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
22.9b
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite267.0ms

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/ add-log-exp
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr associate-/l/
Counts
4 → 149
Calls
4 calls:
59.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
20.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
84.0ms
(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
95.0ms
(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series973.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
84.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
624.0ms
(/ 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))

simplify2.7s

Counts
161 → 161
Iterations
IterNodes
done5000
22840
1792
0298

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

regimes1.0s

Accuracy

97% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 27.8b

bsearch409.0ms

Steps
ItersRangePoint
10
1.189285451611841e+24
2.313305919444919e+34
7.597311987327427e+33
8
-4.259047433324538e+70
-1.2575818074682611e+68
-1.275224954987133e+68

simplify31.0ms

Iterations
IterNodes
done80
180
055

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s8898×body80valid