Details

Time bar (total: 12.6s)

sample52.0ms

Algorithm
intervals
Results
13.0ms257×body80valid
6.0ms13×body320valid
4.0ms20×body640valid
2.0ms10×body1280valid
1.0ms9×body160valid
1.0ms2×body2560valid

simplify1.0s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
2.6b
(+ x (/ (* (- y x) (- z t)) (- a t)))
15.7b
(/ (* (- y x) (- z t)) (- a t))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
58.0ms
(* (- y x) (- z t))
46.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
33.0ms
(/ (* (- y x) (- z t)) (- a t))

series464.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* (- y x) (- z t))
235.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
185.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify884.0ms

Counts
90 → 90

prune379.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(* (- y x) (/ (- z t) (- a t)))
2.6b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
24.0ms
(/ (- z t) (- a t))
83.0ms
(* (- y x) (/ (- z t) (- a t)))
13.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series486.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ (- z t) (- a t))
172.0ms
(* (- y x) (/ (- z t) (- a t)))
239.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify737.0ms

Counts
128 → 128

prune335.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.6b
(* (- y x) (* (- z t) (/ 1 (- a t))))
3.8b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
20.0ms
(/ 1 (- a t))
74.0ms
(* (- z t) (/ 1 (- a t)))
99.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
15.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ 1 (- a t))
89.0ms
(* (- z t) (/ 1 (- a t)))
154.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
263.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify1.0s

Counts
158 → 158

prune454.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (- a t)) (/ t (- a t)))
0.0b
(/ z (- a t))
1.6b
(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
2.6b
(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
64×add-sqr-sqrt
51×times-frac
29×distribute-lft-out--
20×add-cube-cbrt
18×associate-*r*
17×difference-of-squares
14×flip3-- flip--
10×associate-/r/
8×add-exp-log frac-times add-cbrt-cube add-log-exp
6×pow1 distribute-rgt-out--
5×sub-neg associate-*l* associate-/r* div-inv
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ frac-sub sub-div
3×associate-/l*
2×associate-*l/
1×cbrt-undiv +-commutative frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 134
Calls
4 calls:
88.0ms
(- (/ z (- a t)) (/ t (- a t)))
14.0ms
(/ z (- a t))
312.0ms
(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
29.0ms
(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (/ z (- a t)) (/ t (- a t)))
37.0ms
(/ z (- a t))
176.0ms
(* (- y x) (- (/ z (- a t)) (/ t (- a t))))
507.0ms
(+ x (* (- y x) (- (/ z (- a t)) (/ t (- a t)))))

simplify916.0ms

Counts
146 → 146

prune507.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.8b

regimes342.0ms

Accuracy

-12.1% (8.4b remaining)

Error of 12.6b against oracle of 4.2b and baseline of 11.7b

bsearch236.0ms

Steps
ItersRangePoint
5
1.1179146819442415e-06
4.2005555147618285e-06
1.1466580074060964e-06
7
-2.494203256264662e-266
-1.0972381105894428e-267
-5.244444911381475e-267
9
-3.834379540586464e-178
-2.996997513927787e-184
-1.0565648142619546e-182
7
-2.016474162912618e-102
-1.0079248285108427e-103
-1.0173495156520423e-103

simplify813.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
569.0ms7849×body80valid
151.0ms503×body640valid
98.0ms257×body1280valid
60.0ms410×body320valid
36.0ms9×body2560valid
26.0ms256×body160valid