Details

Time bar (total: 55.8s)

sample88.0ms

Algorithm
intervals
Results
44.0ms272×body80valid

simplify8.1s

Counts
1 → 1
Iterations
IterNodes
done5003
52961
41011
3333
2114
155
030

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize152.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
2.9b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.4b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite686.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
55.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
84.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
273.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
269.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.7s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
91.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
335.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
1.0s
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify6.3s

Counts
99 → 99
Iterations
IterNodes
done5002
22241
1605
0208

prune2.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.6b

localize108.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z)))
0.7b
(/ (* y 36.527041698806414) z)
1.4b
(- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z))
11.3b
(/ (* y t) (* z z))

rewrite689.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
18×add-log-exp
13×*-un-lft-identity
8×add-sqr-sqrt
6×cbrt-undiv add-cube-cbrt div-exp
5×prod-exp sum-log cbrt-unprod
4×pow1 times-frac diff-log associate-/r*
3×associate-+r+
2×sub-neg frac-2neg flip3-+ associate--l+ clear-num frac-sub flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out--
1×+-commutative associate-+r- flip3-- flip-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
285.0ms
(+ x (- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z)))
20.0ms
(/ (* y 36.527041698806414) z)
293.0ms
(- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z))
65.0ms
(/ (* y t) (* z z))

series726.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(+ x (- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z)))
47.0ms
(/ (* y 36.527041698806414) z)
146.0ms
(- (+ (* y 3.13060547623) (/ (* y t) (* z z))) (/ (* y 36.527041698806414) z))
315.0ms
(/ (* y t) (* z z))

simplify3.6s

Counts
91 → 91
Iterations
IterNodes
done5153
22181
1501
0171

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (* 3.13060547623 y)) (* 36.527041698806414 (/ y z)))
0.0b
(+ x (* 3.13060547623 y))
0.3b
(* 36.527041698806414 (/ y z))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
3×associate-*r/ associate-*l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv
Counts
3 → 59
Calls
3 calls:
252.0ms
(- (+ x (* 3.13060547623 y)) (* 36.527041698806414 (/ y z)))
10.0ms
(+ x (* 3.13060547623 y))
29.0ms
(* 36.527041698806414 (/ y z))

series176.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- (+ x (* 3.13060547623 y)) (* 36.527041698806414 (/ y z)))
48.0ms
(+ x (* 3.13060547623 y))
33.0ms
(* 36.527041698806414 (/ y z))

simplify6.6s

Counts
68 → 68
Iterations
IterNodes
done5000
34934
21090
1323
0121

prune863.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z)))
0.7b
(/ (* y 36.527041698806414) z)
1.4b
(- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z))
3.8b
(* (/ y z) (/ t z))

rewrite624.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
25×times-frac
21×add-exp-log add-cbrt-cube
20×add-cube-cbrt
18×add-log-exp
13×associate-*r* associate-*l*
6×pow1 cbrt-undiv div-exp
5×prod-exp sum-log cbrt-unprod
4×diff-log unswap-sqr
3×associate-+r+ associate-/r* div-inv
2×sub-neg flip3-+ associate--l+ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative frac-times associate-+r- flip3-- frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-- associate-/l* difference-of-squares
Counts
4 → 108
Calls
4 calls:
147.0ms
(+ x (- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z)))
21.0ms
(/ (* y 36.527041698806414) z)
238.0ms
(- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z))
147.0ms
(* (/ y z) (/ t z))

series738.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(+ x (- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z)))
35.0ms
(/ (* y 36.527041698806414) z)
362.0ms
(- (+ (* y 3.13060547623) (* (/ y z) (/ t z))) (/ (* y 36.527041698806414) z))
159.0ms
(* (/ y z) (/ t z))

simplify4.5s

Counts
120 → 120
Iterations
IterNodes
done5003
22520
1666
0221

prune2.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.7b

regimes2.6s

Accuracy

94.8% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 24.4b

bsearch383.0ms

Steps
ItersRangePoint
2
2.529464671597796e+30
2.84914812869519e+30
2.8084581304506827e+30
8
-2.1314457896294054e+56
-1.403491211178887e+53
-1.944788434501456e+56

simplify53.0ms

Iterations
IterNodes
done73
173
050

end0.0ms

sample10.7s

Algorithm
intervals
Results
9.9s8863×body80valid