Details

Time bar (total: 18.0s)

sample58.0ms

Algorithm
intervals
Results
34.0ms280×body80valid

simplify1.9s

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: 30.6b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
3.5b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.9b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite383.0ms

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 insert-posit16 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 → 91
Calls
4 calls:
55.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
25.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
158.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
143.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series940.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
79.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
228.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
593.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.0s

Counts
103 → 103
Iterations
IterNodes
done5001
22324
1609
0210

prune839.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite33.0ms

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
insert-posit16
+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
7.0ms
(+ x (* 1.6453555072203998 (* y b)))
25.0ms
(* 1.6453555072203998 (* y b))

series93.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ x (* 1.6453555072203998 (* y b)))
28.0ms
(* 1.6453555072203998 (* y b))

simplify2.4s

Counts
37 → 37
Iterations
IterNodes
done5000
31773
2475
1152
058

prune263.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* y 36.527041698806414) z)
3.1b
(- (+ (* 3.13060547623 y) (* (/ t (* z z)) y)) (/ (* y 36.527041698806414) z))
5.6b
(* (/ t (* z z)) y)
7.5b
(/ t (* z z))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
17×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×times-frac
add-log-exp
associate-*l*
pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
associate-/r* insert-posit16 associate-/l*
associate-*r* div-inv
clear-num frac-2neg diff-log frac-sub unswap-sqr
sum-log sub-neg flip3-+ flip3-- pow-prod-down associate-*l/ associate--l+ *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 92
Calls
4 calls:
19.0ms
(/ (* y 36.527041698806414) z)
56.0ms
(- (+ (* 3.13060547623 y) (* (/ t (* z z)) y)) (/ (* y 36.527041698806414) z))
45.0ms
(* (/ t (* z z)) y)
15.0ms
(/ t (* z z))

series197.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* y 36.527041698806414) z)
83.0ms
(- (+ (* 3.13060547623 y) (* (/ t (* z z)) y)) (/ (* y 36.527041698806414) z))
38.0ms
(* (/ t (* z z)) y)
43.0ms
(/ t (* z z))

simplify1.7s

Counts
104 → 104
Iterations
IterNodes
done5001
21902
1467
0171

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* y 36.527041698806414) z)
0.8b
(* (/ 1 z) (* (/ t z) y))
3.1b
(- (+ (* 3.13060547623 y) (* (/ 1 z) (* (/ t z) y))) (/ (* y 36.527041698806414) z))
8.0b
(* (/ t z) y)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
35×add-cbrt-cube
28×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity prod-exp
22×times-frac
21×add-cube-cbrt
13×div-exp cbrt-unprod
11×pow1
add-log-exp
cbrt-undiv
associate-*r* pow-prod-down associate-*l/ insert-posit16
rec-exp associate-/r* 1-exp div-inv
diff-log *-commutative frac-sub unswap-sqr
frac-times clear-num sum-log sub-neg frac-2neg flip3-+ flip3-- associate--l+ associate-*r/ flip-+ flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 120
Calls
4 calls:
9.0ms
(/ (* y 36.527041698806414) z)
60.0ms
(* (/ 1 z) (* (/ t z) y))
64.0ms
(- (+ (* 3.13060547623 y) (* (/ 1 z) (* (/ t z) y))) (/ (* y 36.527041698806414) z))
21.0ms
(* (/ t z) y)

series167.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* y 36.527041698806414) z)
45.0ms
(* (/ 1 z) (* (/ t z) y))
73.0ms
(- (+ (* 3.13060547623 y) (* (/ 1 z) (* (/ t z) y))) (/ (* y 36.527041698806414) z))
23.0ms
(* (/ t z) y)

simplify1.5s

Counts
132 → 132
Iterations
IterNodes
done5045
22332
1634
0225

prune787.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes756.0ms

Accuracy

96.4% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 25.8b

bsearch449.0ms

Steps
ItersRangePoint
9
22024.647857286567
2590629949647.022
2533004793734.77
8
-1.5608865645423084e+40
-2.5854171655697825e+36
-1.343660081947173e+38

simplify13.0ms

Iterations
IterNodes
done76
176
048

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.0s8932×body80valid