Details

Time bar (total: 25.9s)

sample139.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
30.0ms249×body80nan

simplify1.4s

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.1b
(/ (* z (sqrt (+ t a))) t)

rewrite77.0ms

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:
18.0ms
(* z (sqrt (+ t a)))
10.0ms
(/ 2.0 (* t 3.0))
33.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms
(/ (* z (sqrt (+ t a))) t)

series501.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (sqrt (+ t a)))
27.0ms
(/ 2.0 (* t 3.0))
266.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
117.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.5s

Counts
113 → 113
Iterations
IterNodes
done5000
11047
0346

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite144.0ms

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)
62.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
72.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series906.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt t)
194.0ms
(cbrt t)
296.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
164.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify2.1s

Counts
181 → 181
Iterations
IterNodes
done5000
11861
0488

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize93.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
3.6b
(log (exp (/ 2.0 (* t 3.0))))
5.1b
(/ (* z (sqrt (+ t a))) t)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×frac-times cbrt-undiv associate-/r* div-exp associate-*r/ associate-/l*
3×distribute-rgt-in log-prod sub-neg distribute-lft-in div-inv
2×clear-num frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
12.0ms
(/ 2.0 (* t 3.0))
30.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
15.0ms
(log (exp (/ 2.0 (* t 3.0))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series413.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 2.0 (* t 3.0))
258.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
30.0ms
(log (exp (/ 2.0 (* t 3.0))))
103.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.2s

Counts
101 → 101
Iterations
IterNodes
done5000
24572
1799
0280

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize118.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
5.3b
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
9.8b
(log (exp (cbrt t)))

rewrite61.0ms

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)
49.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(log (exp (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
294.0ms
(cbrt t)
334.0ms
(cbrt t)
340.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
289.0ms
(log (exp (cbrt t)))

simplify2.2s

Counts
112 → 112
Iterations
IterNodes
done5001
11377
0351

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes1.1s

Accuracy

0% (1.7b remaining)

Error of 2.8b against oracle of 1.1b and baseline of 2.8b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done39
139
031

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.9s8055×body80nan
1.4s8000×body80valid