Details

Time bar (total: 34.2s)

sample142.0ms

Algorithm
intervals
Results
47.0ms262×body80nan
32.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize38.0ms

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)

rewrite113.0ms

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:
29.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
15.0ms
(/ (* z (sqrt (+ t a))) t)

series485.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
239.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
135.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: 2 (774.0ms)

IterNodesCost
03442616
110152408
243572288
done50002288

prune787.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize57.0ms

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)))))

rewrite188.0ms

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:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
112.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
61.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series985.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt t)
291.0ms
(cbrt t)
135.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
337.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify882.0ms

Counts
181 → 181
Iterations

Useful iterations: done (864.0ms)

IterNodesCost
04866783
117176293
done50015978

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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)
78.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0ms
(log (exp (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt t)
302.0ms
(cbrt t)
367.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
305.0ms
(log (exp (cbrt t)))

simplify806.0ms

Counts
112 → 112
Iterations

Useful iterations: done (794.0ms)

IterNodesCost
03515244
112534709
done50004518

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize85.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t)))
5.0b
(- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
7.1b
(* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
24.7b
(/ (- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (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) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
467×associate-*l/
346×associate-*r/
320×frac-sub
305×flip3-- flip--
202×frac-times
104×associate-/l/
99×add-exp-log
80×add-cbrt-cube
52×prod-exp cbrt-unprod
20×cbrt-undiv div-exp
13×pow1
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down add-log-exp
5×sub-neg times-frac associate-*l*
4×associate-/l*
3×div-inv
2×frac-2neg sqrt-div clear-num associate-/r* associate-/r/
1×flip3-+ diff-log div-sub associate-*r* *-commutative flip-+
Counts
4 → 325
Calls
4 calls:
20.0ms
(/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t)))
610.0ms
(- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
163.0ms
(* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
930.0ms
(/ (- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (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) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series6.6s

Counts
4 → 12
Calls
4 calls:
418.0ms
(/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t)))
3.0s
(- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
415.0ms
(* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
2.9s
(/ (- (* (/ (* z (sqrt (+ t a))) (* (cbrt t) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (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) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.1s

Counts
337 → 337
Iterations

Useful iterations: done (2.1s)

IterNodesCost
098633611
1384430196
done500028395

prune5.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes348.0ms

Accuracy

-11.4% (1.8b remaining)

Error of 2.8b against oracle of 1.0b and baseline of 2.6b

bsearch851.0ms

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

simplify27.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
058163
180124
done80124

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.5s7905×body80nan
1.4s8000×body80valid