Details

Time bar (total: 21.6s)

sample54.0ms

Algorithm
intervals
Results
23.0ms273×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
41130
3337
2116
155
030

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize87.0ms

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) a) z)
2.0b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite340.0ms

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:
20.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
63.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
143.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
112.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
84.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
238.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
664.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.7s

Counts
99 → 99
Iterations
IterNodes
done5004
23193
1596
0206

prune780.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 36.527041698806414 (/ z y))
1.8b
(- (+ (* 3.13060547623 y) (/ y (/ (* z z) t))) (/ 36.527041698806414 (/ z y)))
8.8b
(/ y (/ (* z z) t))
10.3b
(/ (* z z) t)

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
73×add-sqr-sqrt
66×*-un-lft-identity
64×add-cube-cbrt
23×associate-/r* add-cbrt-cube add-exp-log
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/l*
4×pow1
3×clear-num frac-2neg difference-of-squares
2×diff-log prod-exp associate-/r/ frac-sub cbrt-unprod
1×sum-log sub-neg flip3-+ flip3-- associate--l+ flip-+ flip-- distribute-lft-out--
Counts
4 → 159
Calls
4 calls:
11.0ms
(/ 36.527041698806414 (/ z y))
185.0ms
(- (+ (* 3.13060547623 y) (/ y (/ (* z z) t))) (/ 36.527041698806414 (/ z y)))
8.0ms
(/ y (/ (* z z) t))
7.0ms
(/ (* z z) t)

series148.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 36.527041698806414 (/ z y))
65.0ms
(- (+ (* 3.13060547623 y) (/ y (/ (* z z) t))) (/ 36.527041698806414 (/ z y)))
34.0ms
(/ y (/ (* z z) t))
22.0ms
(/ (* z z) t)

simplify721.0ms

Counts
171 → 171
Iterations
IterNodes
done5000
1860
0309

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize71.0ms

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) a) z)
0.1b
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
28.0b
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite454.0ms

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:
26.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
97.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
191.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
137.0ms
(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.1s

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
98.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
633.0ms
(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
300.0ms
(/ (+ (* (+ (* (+ (* (+ (* 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
done5001
23136
1622
0225

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize130.0ms

Local error

Found 4 expressions with local error:

18.8b
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
18.8b
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
18.8b
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
28.0b
(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) 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))

rewrite402.0ms

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:
40.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
37.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
33.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
290.0ms
(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) 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))

series1.1s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
217.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
245.0ms
(cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z))
366.0ms
(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)) (cbrt (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) 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))

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5001
21482
1415
0170

prune877.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

regimes934.0ms

Accuracy

97% (0.8b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 27.6b

bsearch270.0ms

Steps
ItersRangePoint
7
2.536030598876489e+70
1.4129904584039003e+72
2.5671003746910526e+70
7
-2.6806363251802e+49
-1.3628950711016755e+48
-1.3751160002963803e+48

simplify24.0ms

Iterations
IterNodes
done69
169
046

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s8871×body80valid