Details

Time bar (total: 19.5s)

sample68.0ms

Algorithm
intervals
Results
30.0ms277×body80valid

simplify1.9s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
3.6b
(* 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))

rewrite370.0ms

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
associate-*r* associate-*l*
flip3-+ flip-+
associate-*l/ prod-exp associate-*r/ cbrt-unprod add-log-exp
associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
cbrt-undiv div-exp associate-/r/ associate-/l/
distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
97.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
26.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
120.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
123.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.0s

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
101.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
225.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
628.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.5s

Counts
99 → 99
Iterations
IterNodes
done5004
22188
1591
0206

prune951.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.3b
(* 1.6453555072203998 (* y b))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-log-exp
add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
8.0ms
(+ x (* 1.6453555072203998 (* y b)))
21.0ms
(* 1.6453555072203998 (* y b))

series92.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ x (* 1.6453555072203998 (* y b)))
33.0ms
(* 1.6453555072203998 (* y b))

simplify2.0s

Counts
35 → 35
Iterations
IterNodes
done5000
31761
2473
1150
056

prune166.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
0.6b
(/ 36.527041698806414 (/ z y))
2.6b
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
2.9b
(* (/ y z) (/ t z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
81×add-sqr-sqrt
62×*-un-lft-identity
60×add-cube-cbrt
21×add-cbrt-cube add-exp-log
13×associate-/r* associate-*r* associate-*l*
11×add-log-exp
cbrt-undiv div-exp div-inv
pow1
prod-exp cbrt-unprod unswap-sqr
associate-/l* difference-of-squares
sum-log flip3-+ diff-log frac-sub flip-+
frac-times +-commutative clear-num sub-neg frac-2neg flip3-- pow-prod-down associate-*l/ associate--l+ associate-*r/ associate-/r/ *-commutative flip-- distribute-lft-out--
Counts
4 → 151
Calls
4 calls:
6.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
7.0ms
(/ 36.527041698806414 (/ z y))
45.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
29.0ms
(* (/ y z) (/ t z))

series205.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
19.0ms
(/ 36.527041698806414 (/ z y))
82.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
40.0ms
(* (/ y z) (/ t z))

simplify1.9s

Counts
163 → 163
Iterations
IterNodes
done5001
23018
1837
0297

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 36.527041698806414 (/ z y))
1.0b
(/ (* y (/ t z)) z)
2.6b
(- (+ (* 3.13060547623 y) (/ (* y (/ t z)) z)) (/ 36.527041698806414 (/ z y)))
5.7b
(* y (/ t z))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
91×times-frac
70×add-sqr-sqrt
58×*-un-lft-identity
56×add-cube-cbrt
23×add-cbrt-cube add-exp-log
16×associate-/r*
13×associate-*r*
add-log-exp
cbrt-undiv div-exp
div-inv
pow1
prod-exp cbrt-unprod associate-/l*
associate-*l* difference-of-squares
clear-num frac-2neg diff-log associate-*r/ frac-sub unswap-sqr
sum-log sub-neg flip3-+ flip3-- pow-prod-down associate--l+ associate-/r/ *-commutative flip-+ flip-- distribute-lft-out-- associate-/l/
Counts
4 → 146
Calls
4 calls:
11.0ms
(/ 36.527041698806414 (/ z y))
12.0ms
(/ (* y (/ t z)) z)
78.0ms
(- (+ (* 3.13060547623 y) (/ (* y (/ t z)) z)) (/ 36.527041698806414 (/ z y)))
11.0ms
(* y (/ t z))

series176.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 36.527041698806414 (/ z y))
38.0ms
(/ (* y (/ t z)) z)
89.0ms
(- (+ (* 3.13060547623 y) (/ (* y (/ t z)) z)) (/ 36.527041698806414 (/ z y)))
29.0ms
(* y (/ t z))

simplify1.5s

Counts
158 → 158
Iterations
IterNodes
done5117
22818
1774
0289

prune966.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

regimes1.1s

Accuracy

95.8% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 26.3b

bsearch654.0ms

Steps
ItersRangePoint
9
1.0619574867451315e+27
3.808858172108706e+32
5.877344572473257e+29
9
-3.9628163174181575e+30
-3.9554820123738635e+22
-3.240660210645078e+30

simplify16.0ms

Iterations
IterNodes
done75
175
052

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s8902×body80valid