Details

Time bar (total: 29.3s)

sample116.0ms

Algorithm
intervals
Results
40.0ms289×body80nan
25.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.8b
(/ 2.0 (* t 3.0))
3.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0b
(/ (* z (sqrt (+ t a))) t)

rewrite142.0ms

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:
35.0ms
(* z (sqrt (+ t a)))
13.0ms
(/ 2.0 (* t 3.0))
64.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms
(/ (* z (sqrt (+ t a))) t)

series438.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* 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)))))
113.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: 2 (841.0ms)

IterNodesCost
03442616
110152408
243572288
done50002288

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.8b
(/ 2.0 (* t 3.0))
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.2b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
61×times-frac
60×frac-sub
48×*-un-lft-identity
46×associate-*r*
39×frac-times
36×add-cube-cbrt
30×add-exp-log
28×cbrt-prod sqrt-prod
27×associate-*r/
25×flip3-- flip--
23×add-cbrt-cube
21×associate-*l/
10×unswap-sqr
9×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+
7×associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in div-inv associate-/l*
2×associate--l+
1×frac-2neg pow1/3 diff-log pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt t)
8.0ms
(/ 2.0 (* t 3.0))
94.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
78.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt t)
18.0ms
(/ 2.0 (* t 3.0))
118.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
281.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify773.0ms

Counts
191 → 191
Iterations

Useful iterations: done (764.0ms)

IterNodesCost
05256897
117976396
done50016074

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 2.0 (* t 3.0))
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
4.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
6.2b
(log (exp (/ 2.0 (* t 3.0))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
64×times-frac
50×*-un-lft-identity
46×associate-*r*
38×add-cube-cbrt
30×add-exp-log
28×sqrt-prod
25×cbrt-prod
24×frac-sub
23×add-cbrt-cube
21×frac-times
19×flip3-- flip--
15×associate-*r/ associate-*l/
10×unswap-sqr
9×cbrt-undiv div-exp prod-exp cbrt-unprod
8×log-pow
7×pow1 exp-prod associate-*l*
6×distribute-lft-out associate--r+ add-log-exp
4×div-inv
3×distribute-rgt-in sub-neg log-prod distribute-lft-in associate-/l*
2×associate--l+
1×frac-2neg diff-log rem-log-exp pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 169
Calls
4 calls:
9.0ms
(/ 2.0 (* t 3.0))
79.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
91.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
11.0ms
(log (exp (/ 2.0 (* t 3.0))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 2.0 (* t 3.0))
138.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
299.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
20.0ms
(log (exp (/ 2.0 (* t 3.0))))

simplify591.0ms

Counts
181 → 181
Iterations

Useful iterations: done (569.0ms)

IterNodesCost
04445506
114254842
done50004562

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize77.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
3.9b
(* (* (cbrt t) (cbrt t)) (- (* b b) (* c c)))
7.2b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
22.4b
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (* (cbrt t) (cbrt t)) (+ b c)))

rewrite897.0ms

Algorithm
rewrite-expression-head
Rules
298×associate-*r/
206×frac-sub
144×frac-times
91×flip3-- flip--
90×flip3-+ flip-+
72×associate-/l/
50×associate-*l/
27×add-exp-log
21×add-cbrt-cube
18×pow1
13×*-un-lft-identity
12×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×distribute-rgt-in distribute-lft-in pow-prod-down
8×add-cube-cbrt
7×sub-neg
6×associate--l+ associate--r+ add-log-exp
3×cbrt-undiv times-frac div-exp associate-/l*
2×associate-*l* associate-/r/ *-commutative distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv distribute-lft-out unswap-sqr
Counts
4 → 258
Calls
4 calls:
303.0ms
(* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
65.0ms
(* (* (cbrt t) (cbrt t)) (- (* b b) (* c c)))
193.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
308.0ms
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (* (cbrt t) (cbrt t)) (+ b c)))

series6.4s

Counts
4 → 12
Calls
4 calls:
440.0ms
(* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
383.0ms
(* (* (cbrt t) (cbrt t)) (- (* b b) (* c c)))
3.4s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.1s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (+ b c)) (* (* (* (cbrt t) (cbrt t)) (- (* b b) (* c c))) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (* (cbrt t) (cbrt t)) (+ b c)))

simplify1.3s

Counts
270 → 270
Iterations

Useful iterations: done (1.3s)

IterNodesCost
067017878
1268416402
done500215738

prune4.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes689.0ms

Accuracy

69.3% (2.6b remaining)

Error of 3.0b against oracle of 0.4b and baseline of 8.9b

bsearch613.0ms

Steps
ItersRangePoint
6
7.834735974299582e-09
3.472158895805298e-08
3.422950075620731e-08
9
-3.754832031543031e+25
-5.360487458593362e+19
-2.8157471329979646e+20

simplify16.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
059170
181129
done81129

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.9s8000×body80valid
1.7s8179×body80nan