Details

Time bar (total: 44.8s)

sample107.0ms

Algorithm
intervals
Results
54.0ms280×body80valid

simplify5.2s

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize106.0ms

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))

rewrite580.0ms

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:
86.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
47.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
255.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
187.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.9s

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
142.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
464.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
1.2s
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify4.9s

Counts
103 → 103
Iterations
IterNodes
done5003
22359
1610
0210

prune2.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
9.0ms
(+ x (* 1.6453555072203998 (* y b)))
37.0ms
(* 1.6453555072203998 (* y b))

series109.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ x (* 1.6453555072203998 (* y b)))
44.0ms
(* 1.6453555072203998 (* y b))

simplify5.2s

Counts
37 → 37
Iterations
IterNodes
done5000
31697
2474
1151
058

prune703.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ y z) 36.527041698806414)
3.1b
(- (+ (* y 3.13060547623) (/ t (/ (* z z) y))) (* (/ y z) 36.527041698806414))
5.4b
(/ t (/ (* z z) y))
8.9b
(/ (* z z) y)

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
35×add-sqr-sqrt
30×*-un-lft-identity add-cube-cbrt
23×add-cbrt-cube add-exp-log
13×associate-*l*
10×associate-/r*
9×add-log-exp
8×cbrt-undiv div-exp
7×div-inv
6×pow1
4×prod-exp cbrt-unprod insert-posit16 associate-/l*
3×associate-*r* associate-*l/
2×clear-num frac-2neg diff-log frac-sub unswap-sqr
1×sum-log sub-neg flip3-+ flip3-- pow-prod-down associate--l+ associate-/r/ *-commutative flip-+ flip--
Counts
4 → 121
Calls
4 calls:
21.0ms
(* (/ y z) 36.527041698806414)
179.0ms
(- (+ (* y 3.13060547623) (/ t (/ (* z z) y))) (* (/ y z) 36.527041698806414))
23.0ms
(/ t (/ (* z z) y))
25.0ms
(/ (* z z) y)

series264.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ y z) 36.527041698806414)
126.0ms
(- (+ (* y 3.13060547623) (/ t (/ (* z z) y))) (* (/ y z) 36.527041698806414))
62.0ms
(/ t (/ (* z z) y))
46.0ms
(/ (* z z) y)

simplify4.2s

Counts
133 → 133
Iterations
IterNodes
done5003
22592
1622
0225

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (/ y z))
0.2b
(* (/ y z) 36.527041698806414)
3.1b
(- (+ (* y 3.13060547623) (/ t (/ z (/ y z)))) (* (/ y z) 36.527041698806414))
5.4b
(/ t (/ z (/ y z)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
481×times-frac
244×add-sqr-sqrt
239×*-un-lft-identity add-cube-cbrt
57×associate-/r*
23×add-cbrt-cube add-exp-log div-inv
13×associate-*l*
10×cbrt-undiv div-exp
9×add-log-exp
6×pow1 associate-/r/ associate-/l*
4×insert-posit16
3×associate-*r* associate-*l/
2×clear-num frac-2neg diff-log prod-exp frac-sub cbrt-unprod unswap-sqr
1×sum-log sub-neg flip3-+ flip3-- pow-prod-down associate--l+ *-commutative flip-+ flip--
Counts
4 → 318
Calls
4 calls:
12.0ms
(/ z (/ y z))
27.0ms
(* (/ y z) 36.527041698806414)
948.0ms
(- (+ (* y 3.13060547623) (/ t (/ z (/ y z)))) (* (/ y z) 36.527041698806414))
42.0ms
(/ t (/ z (/ y z)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ z (/ y z))
42.0ms
(* (/ y z) 36.527041698806414)
111.0ms
(- (+ (* y 3.13060547623) (/ t (/ z (/ y z)))) (* (/ y z) 36.527041698806414))
66.0ms
(/ t (/ z (/ y z)))

simplify3.5s

Counts
330 → 330
Iterations
IterNodes
done5000
11510
0546

prune5.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes2.5s

Accuracy

97.5% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 26.0b

bsearch407.0ms

Steps
ItersRangePoint
4
5.1227248047778404e+36
8.500282840731069e+36
6.602793195626197e+36
8
-1.5608865645423084e+40
-2.5854171655697825e+36
-8.481841113236381e+37

simplify50.0ms

Iterations
IterNodes
done69
169
045

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.1s8932×body80valid