Details

Time bar (total: 44.5s)

sample149.0ms

Algorithm
intervals
Results
52.0ms268×body80nan
37.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
028721
150721
2106721
3373721
41817721
done5001721

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.4b
(/ (* z (sqrt (+ t a))) t)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
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 associate-/r* sqrt-div div-exp associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
26.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ 2.0 (* t 3.0))
30.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(/ (* z (sqrt (+ t a))) t)

series484.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (sqrt (+ t a)))
32.0ms
(/ 2.0 (* t 3.0))
246.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
116.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.4s

Counts
113 → 113
Iterations

Useful iterations: done (1.3s)

IterNodesCost
034650396
1104742843
done500042403

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite157.0ms

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×flip3-- add-exp-log 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)
55.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt t)
282.0ms
(cbrt t)
350.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
182.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.2s

Counts
181 → 181
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0488138020
11861120136
done5000119408

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.2b
(log (exp (cbrt t)))

rewrite83.0ms

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 *-un-lft-identity flip3-+ add-cube-cbrt flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-cbrt-cube add-exp-log
3×distribute-rgt-in log-prod sub-neg distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
69.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0ms
(log (exp (cbrt t)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt t)
231.0ms
(cbrt t)
256.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
220.0ms
(log (exp (cbrt t)))

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0350113956
1133785502
done500085345

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize218.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (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))))
4.3b
(/ (* z (sqrt (+ t a))) (cbrt t))
6.5b
(- (* (* (- 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)))))
27.8b
(/ (- (* (* (- 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))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
528×associate-*l/
332×frac-sub
330×associate-*r/
325×flip3-- flip--
212×frac-times
104×associate-/l/
50×add-exp-log
38×add-cbrt-cube
24×prod-exp cbrt-unprod
16×distribute-rgt-in pow1 distribute-lft-in
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-undiv sub-neg times-frac div-exp
8×pow-prod-down associate--r+
7×associate-/r*
6×cbrt-prod add-log-exp
4×associate-/l*
2×clear-num frac-2neg sqrt-div associate-/r/ div-inv
1×flip3-+ diff-log div-sub associate-*r* associate-*l* *-commutative flip-+
Counts
4 → 335
Calls
4 calls:
394.0ms
(* (* (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))))
13.0ms
(/ (* z (sqrt (+ t a))) (cbrt t))
554.0ms
(- (* (* (- 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)))))
697.0ms
(/ (- (* (* (- 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))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series6.3s

Counts
4 → 12
Calls
4 calls:
844.0ms
(* (* (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))))
335.0ms
(/ (* z (sqrt (+ t a))) (cbrt t))
2.5s
(- (* (* (- 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)))))
2.6s
(/ (- (* (* (- 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))))

simplify8.1s

Counts
347 → 347
Iterations

Useful iterations: done (7.8s)

IterNodesCost
0996483083
13857412169
done5001411050

prune7.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (1.9b remaining)

Error of 2.6b against oracle of 0.7b and baseline of 2.6b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
031881
139881
done39881

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.5s7966×body80nan
1.4s8000×body80valid