Details

Time bar (total: 28.2s)

sample63.0ms

Algorithm
intervals
Results
33.0ms281×body80valid

simplify2.3s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize89.0ms

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)
1.7b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.1b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite399.0ms

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:
112.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
22.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
146.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
115.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series1.2s

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
109.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
270.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
748.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify2.9s

Counts
99 → 99
Iterations
IterNodes
done5004
22188
1591
0206

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
0.4b
(/ 36.527041698806414 (/ z y))
2.5b
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
3.1b
(* (/ y z) (/ t z))

rewrite106.0ms

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
7×cbrt-undiv div-exp div-inv
6×pow1
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/l* difference-of-squares
2×sum-log flip3-+ diff-log frac-sub flip-+
1×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:
11.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
12.0ms
(/ 36.527041698806414 (/ z y))
55.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
18.0ms
(* (/ y z) (/ t z))

series252.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* 3.13060547623 y) (* (/ y z) (/ t z)))
28.0ms
(/ 36.527041698806414 (/ z y))
88.0ms
(- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y)))
55.0ms
(* (/ y z) (/ t z))

simplify2.4s

Counts
163 → 163
Iterations
IterNodes
done5001
23018
1837
0297

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

localize102.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ y z) (/ t z))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
31×times-frac
27×*-un-lft-identity
21×cbrt-prod add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
12×cbrt-div
9×difference-of-squares
6×pow1 frac-sub
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp unswap-sqr
3×flip3-+ flip3-- pow1/3 flip-+ flip-- distribute-lft-out--
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 107
Calls
4 calls:
31.0ms
(* (/ y z) (/ t z))
29.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
43.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
38.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ y z) (/ t z))
400.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
383.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
335.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

simplify2.7s

Counts
119 → 119
Iterations
IterNodes
done5009
22054
1580
0214

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.6b

localize169.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
12.5b
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
28×cbrt-prod
16×cbrt-div *-un-lft-identity
12×times-frac difference-of-squares
8×frac-sub add-cube-cbrt
4×pow1 flip3-+ flip3-- add-cbrt-cube pow1/3 add-exp-log flip-+ flip-- distribute-lft-out-- add-log-exp
Counts
4 → 76
Calls
4 calls:
38.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
37.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
32.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
52.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
365.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
352.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))
303.0ms
(cbrt (- (+ (* 3.13060547623 y) (* (/ y z) (/ t z))) (/ 36.527041698806414 (/ z y))))

simplify3.4s

Counts
88 → 88
Iterations
IterNodes
done5000
33568
2932
1301
0123

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.6b

regimes1.3s

Accuracy

97.2% (0.7b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 26.7b

bsearch462.0ms

Steps
ItersRangePoint
9
1.9691513268943299e+31
6.88991788806582e+36
6.604017825197738e+36
7
-1.0848342601225986e+51
-6.154014740570543e+48
-8.012125234246044e+48

simplify26.0ms

Iterations
IterNodes
done69
169
046

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s8852×body80valid