Details

Time bar (total: 36.5s)

sample156.0ms

Algorithm
intervals
Results
40.0ms262×body80nan
39.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
3.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.7b
(/ (* z (sqrt (+ t a))) t)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
33.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
53.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms
(/ (* z (sqrt (+ t a))) t)

series514.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* z (sqrt (+ t a)))
25.0ms
(/ 2.0 (* t 3.0))
278.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
105.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: 2 (939.0ms)

IterNodesCost
03442616
110152408
243572288
done50002288

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
123.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
112.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series994.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
237.0ms
(cbrt t)
126.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
349.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify942.0ms

Counts
181 → 181
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
04866783
117176293
done50015978

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
5.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.3b
(log (exp (cbrt t)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
20×associate-*l/
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
127.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(log (exp (cbrt t)))

series1.7s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt t)
295.0ms
(cbrt t)
788.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
308.0ms
(log (exp (cbrt t)))

simplify735.0ms

Counts
112 → 112
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
03505244
112524709
done50004518

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize66.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.2b
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t)))
5.6b
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
27.7b
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
510×associate-*l/
320×frac-sub
306×flip3-- flip--
303×associate-*r/
202×frac-times
102×associate-/l/
74×add-exp-log
62×add-cbrt-cube
39×prod-exp cbrt-unprod
18×pow1
13×cbrt-undiv div-exp
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
8×distribute-rgt-in distribute-lft-in associate--r+
6×add-log-exp
5×sub-neg associate-*l*
3×cbrt-prod associate-/l*
2×associate-/r/ *-commutative div-inv
1×frac-2neg diff-log div-sub clear-num associate-/r* difference-of-squares
Counts
4 → 322
Calls
4 calls:
72.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
167.0ms
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t)))
622.0ms
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series5.8s

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
539.0ms
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t)))
2.4s
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
2.8s
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (/ (* z (sqrt (+ t a))) (cbrt t))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.1s

Counts
334 → 334
Iterations

Useful iterations: done (2.1s)

IterNodesCost
099233882
1375930516
done500028640

prune6.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes661.0ms

Accuracy

1.4% (2.0b remaining)

Error of 2.6b against oracle of 0.6b and baseline of 2.6b

bsearch833.0ms

Steps
ItersRangePoint
10
4.6115389018217353e-116
5.256007885959504e-104
4.661190486741443e-116
9
-5.5354123826841624e-58
-1.3049062736556822e-64
-1.7476468421842948e-63

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
058166
180127
done80127

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.9s7905×body80nan
1.8s8000×body80valid