Details

Time bar (total: 11.3s)

sample38.0ms

Algorithm
intervals
Results
17.0ms381×body80valid

simplify805.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01717
13217
26817
312117
419217
527117
639217
755517
872817
977717
done77717

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* a b) 4.0)
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b
(/ (* z t) 16.0)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×times-frac associate-/r*
5×sum-log
4×pow1 cbrt-undiv div-exp
3×associate-+l+
2×+-commutative frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
1×associate-+l- sub-neg associate--l+ distribute-lft-out--
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ (* a b) 4.0)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
127.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
3.0ms
(/ (* z t) 16.0)

series258.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (* a b) 4.0)
48.0ms
(+ (* x y) (/ (* z t) 16.0))
166.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
20.0ms
(/ (* z t) 16.0)

simplify521.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
01581039
14051000
21380896
done5000896

prune266.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
16.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
3.0ms
(/ (* a b) 4.0)
3.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
66.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)

series1.0s

Counts
4 → 12
Calls
4 calls:
318.0ms
(- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0))
21.0ms
(/ (* a b) 4.0)
238.0ms
(+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0))))
468.0ms
(+ (- (+ (* x y) (* (/ z (sqrt 16.0)) (/ t (sqrt 16.0)))) (/ (* a b) 4.0)) c)

simplify505.0ms

Counts
81 → 81
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
01441709
13891580
213961234
done50001234

prune281.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ (* t z) 16.0) (* x y))) (cbrt (+ (/ (* t z) 16.0) (* x y))))
2.5b
(cbrt (+ (/ (* t z) 16.0) (* x y)))
2.5b
(cbrt (+ (/ (* t z) 16.0) (* x y)))
2.5b
(cbrt (+ (/ (* t z) 16.0) (* x y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
40.0ms
(* (cbrt (+ (/ (* t z) 16.0) (* x y))) (cbrt (+ (/ (* t z) 16.0) (* x y))))
5.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))
5.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))
5.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (+ (/ (* t z) 16.0) (* x y))) (cbrt (+ (/ (* t z) 16.0) (* x y))))
157.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))
164.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))
171.0ms
(cbrt (+ (/ (* t z) 16.0) (* x y)))

simplify1.4s

Counts
99 → 99
Iterations

Useful iterations: 3 (672.0ms)

IterNodesCost
01372452
13152287
29282133
328881906
done50011906

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
0.6b
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
0.6b
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
0.6b
(* (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)) (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)))

rewrite1000.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
91.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
91.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
91.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
723.0ms
(* (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)) (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
117.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
122.0ms
(cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c))
268.0ms
(* (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)) (cbrt (+ (+ (* x y) (- (/ (* t z) 16.0) (/ (* a b) 4.0))) c)))

simplify1.4s

Counts
107 → 107
Iterations

Useful iterations: 3 (485.0ms)

IterNodesCost
01254192
12823962
28463700
332103160
done50003160

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
12421
done2421

end0.0ms

sample990.0ms

Algorithm
intervals
Results
526.0ms11802×body80valid