Details

Time bar (total: 41.5s)

sample157.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
36.0ms268×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5001
41817
3373
2106
150
028

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize78.0ms

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)

rewrite119.0ms

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:
30.0ms
(* z (sqrt (+ t a)))
10.0ms
(/ 2.0 (* t 3.0))
46.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
27.0ms
(/ (* z (sqrt (+ t a))) t)

series459.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* z (sqrt (+ t a)))
30.0ms
(/ 2.0 (* t 3.0))
233.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.4s

Counts
113 → 113
Iterations
IterNodes
done5000
11047
0346

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize95.0ms

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)))

rewrite142.0ms

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)
53.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
70.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series828.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt t)
195.0ms
(cbrt t)
264.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
149.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.0s

Counts
181 → 181
Iterations
IterNodes
done5000
11861
0488

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.6b
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (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)
64.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
13.0ms
(log (exp (cbrt t)))

series1.6s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
296.0ms
(cbrt t)
371.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
612.0ms
(log (exp (cbrt t)))

simplify2.4s

Counts
112 → 112
Iterations
IterNodes
done5001
11377
0351

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize144.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
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))))
6.5b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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
490×associate-*l/
488×associate-*r/
332×frac-sub
326×flip3-- flip--
212×frac-times
102×associate-/l/
50×add-exp-log
40×add-cbrt-cube
26×prod-exp cbrt-unprod
21×pow1
16×distribute-rgt-in distribute-lft-in
11×pow-prod-down
9×sub-neg
8×associate--r+
7×add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
6×add-log-exp
5×associate-*l*
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×clear-num associate-/r* frac-2neg diff-log div-sub div-inv difference-of-squares
Counts
4 → 327
Calls
4 calls:
29.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
353.0ms
(* (* (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))))
513.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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)))))
782.0ms
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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))))

series7.1s

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
900.0ms
(* (* (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))))
3.3s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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)))))
2.9s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (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))))

simplify3.9s

Counts
339 → 339
Iterations
IterNodes
done5000
13591
0902

prune7.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes800.0ms

Accuracy

0% (1.9b remaining)

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

bsearch0.0ms

simplify18.0ms

Iterations
IterNodes
done39
139
031

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s7966×body80nan
1.5s8000×body80valid