Details

Time bar (total: 2.3m)

sample75.0ms

Algorithm
intervals
Results
33.0ms460×body80valid

simplify77.0ms

Counts
1 → 1
Iterations
IterNodes
done106
5106
4105
382
248
126
015

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a b) (* x y))
0.0b
(+ (* c i) (+ (* a b) (* x y)))
0.0b
(+ (* z t) (+ (* c i) (+ (* a b) (* x y))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×add-sqr-sqrt pow1 +-commutative *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
2×associate-+r+
Counts
3 → 38
Calls
3 calls:
10.0ms
(+ (* a b) (* x y))
15.0ms
(+ (* c i) (+ (* a b) (* x y)))
68.0ms
(+ (* z t) (+ (* c i) (+ (* a b) (* x y))))

series430.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* a b) (* x y))
91.0ms
(+ (* c i) (+ (* a b) (* x y)))
294.0ms
(+ (* z t) (+ (* c i) (+ (* a b) (* x y))))

simplify688.0ms

Counts
47 → 47
Iterations
IterNodes
done5001
21424
1281
081

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))) (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))))
0.5b
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
0.5b
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
0.5b
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-+ flip-+
68×frac-add
36×cbrt-prod frac-times
35×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr distribute-lft-out
7×associate-*r* associate-*l*
6×associate-*l/ associate-*r/ add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 147
Calls
4 calls:
270.0ms
(* (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))) (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))))
42.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
31.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
23.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))

series741.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))) (cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t)))))
135.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
192.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
181.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))

simplify881.0ms

Counts
159 → 159
Iterations
IterNodes
done5000
22199
1574
0237

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x))))
0.5b
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
0.5b
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
0.5b
(cbrt (cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x)))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
23×cbrt-prod
20×flip3-+ flip-+
17×*-un-lft-identity
16×frac-add
9×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log distribute-lft-out add-log-exp
Counts
4 → 75
Calls
4 calls:
36.0ms
(cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x))))
24.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
31.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
29.0ms
(cbrt (cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x)))))

series723.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x))))
177.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
187.0ms
(cbrt (+ (+ (* b a) (* c i)) (+ (* y x) (* z t))))
169.0ms
(cbrt (cbrt (+ (+ (* c i) (* b a)) (+ (* z t) (* y x)))))

simplify1.0s

Counts
87 → 87
Iterations
IterNodes
done5001
22625
1659
0223

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* (* t t) z) z)
3.6b
(- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x)))))
8.8b
(* (* t t) z)
33.0b
(/ (- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x))))) (- (- (* z t) (+ (* c i) (* y x))) (* b a)))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube add-exp-log
18×pow1
15×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
9×times-frac pow-prod-down prod-exp cbrt-unprod
6×associate-*r* add-log-exp
3×associate-/r* flip3-- flip-- associate-/l*
2×associate-*l* associate-/r/ *-commutative associate--r+ associate-/l/
1×distribute-rgt-in cbrt-undiv clear-num sub-neg frac-2neg distribute-lft-in diff-log div-sub div-exp div-inv unswap-sqr
Counts
4 → 86
Calls
4 calls:
78.0ms
(* (* (* t t) z) z)
67.0ms
(- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x)))))
20.0ms
(* (* t t) z)
281.0ms
(/ (- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x))))) (- (- (* z t) (+ (* c i) (* y x))) (* b a)))

series2.1m

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* (* t t) z) z)
2.0m
(- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x)))))
26.0ms
(* (* t t) z)
1.0s
(/ (- (* (* (* t t) z) z) (* (+ (* b a) (+ (* c i) (* y x))) (+ (* b a) (+ (* c i) (* y x))))) (- (- (* z t) (+ (* c i) (* y x))) (* b a)))

simplify1.6s

Counts
98 → 98
Iterations
IterNodes
done5002
23212
1490
0168

prune705.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done22
122
015

end0.0ms

sample2.3s

Algorithm
intervals
Results
952.0ms13954×body80valid