Details

Time bar (total: 23.2s)

sample87.0ms

Algorithm
intervals
Results
39.0ms404×body80valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5000
63298
51001
4340
3127
269
132
017

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* a b) 4.0)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (* x y) (/ (* z t) 16.0))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 associate-/r* times-frac
2×cbrt-undiv sum-log flip3-+ diff-log div-exp frac-sub flip-+
1×+-commutative clear-num sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
15.0ms
(/ (* a b) 4.0)
91.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
9.0ms
(+ (* x y) (/ (* z t) 16.0))

series214.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a b) 4.0)
128.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
62.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify807.0ms

Counts
59 → 59
Iterations
IterNodes
done5000
21418
1310
0116

prune496.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y))))
1.4b
(+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
3.2b
(- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3))
39.1b
(/ (- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
126×frac-add
88×*-un-lft-identity
84×frac-times
81×flip3-+ flip-+
80×difference-of-squares
75×times-frac
60×unpow-prod-down cube-prod
56×associate-*r/
44×associate-/r/
42×associate-*l/
40×sqr-pow
36×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×cube-div add-cbrt-cube add-exp-log add-log-exp
6×pow1
5×difference-cubes
4×associate-*r* frac-sub associate-/l/
3×associate-/r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-- flip--
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out unswap-sqr
Counts
4 → 290
Calls
4 calls:
616.0ms
(* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y))))
165.0ms
(+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
685.0ms
(- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3))
1.5s
(/ (- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

series6.8s

Counts
4 → 12
Calls
4 calls:
352.0ms
(* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y))))
1.2s
(+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
4.6s
(- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3))
674.0ms
(/ (- (pow (+ (/ t (/ 16.0 z)) (* x y)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (/ t (/ 16.0 z)) (* x y)) (+ (/ b (/ 4.0 a)) (+ (/ t (/ 16.0 z)) (* x y)))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

simplify776.0ms

Counts
302 → 302
Iterations
IterNodes
done5000
11690
0531

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s11961×body80valid