Details

Time bar (total: 10.9s)

sample82.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
19.0ms309×body80nan

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
3.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.9b
(/ (* z (sqrt (+ t a))) t)

rewrite87.0ms

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:
24.0ms
(* z (sqrt (+ t a)))
7.0ms
(/ 2.0 (* t 3.0))
34.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

series354.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
22.0ms
(/ 2.0 (* t 3.0))
190.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify36.0ms

Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010191262
150011200
done50011200

prune574.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite128.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
65.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
51.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series697.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
183.0ms
(cbrt t)
106.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
229.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify60.0ms

Counts
181 → 181
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017393626
150013513
done50013513

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
2.2b
(log (exp (/ 2.0 (* t 3.0))))
4.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.9b
(/ (* z (sqrt (+ t a))) t)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
8.0ms
(/ 2.0 (* t 3.0))
9.0ms
(log (exp (/ 2.0 (* t 3.0))))
37.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
15.0ms
(/ (* z (sqrt (+ t a))) t)

series308.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 2.0 (* t 3.0))
17.0ms
(log (exp (/ 2.0 (* t 3.0))))
193.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify79.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07681017
13739918
25001917
done5001917

prune522.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

3.7b
(- (* b b) (* c c))
8.1b
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
10.7b
(* t (- (* b b) (* c c)))
18.2b
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
260×associate-*r/
147×flip3-+ flip-+
128×frac-times frac-add distribute-neg-frac
96×sqrt-div
66×associate-/l/
64×associate-*l/
50×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-log-exp
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×distribute-rgt-in distribute-lft-in associate-*r*
3×sub-neg times-frac div-sub associate-*l* associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- associate-+l+ associate-+r+ distribute-neg-in div-exp unsub-neg prod-exp sum-log associate-/r/ cbrt-unprod difference-of-squares
1×+-commutative frac-2neg diff-log pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 213
Calls
4 calls:
8.0ms
(- (* b b) (* c c))
56.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
27.0ms
(* t (- (* b b) (* c c)))
137.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

series1.2s

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* b b) (* c c))
535.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
69.0ms
(* t (- (* b b) (* c c)))
575.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

simplify103.0ms

Counts
225 → 225
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
022886919
150026776
done50026776

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes303.0ms

Accuracy

-14.9% (2.9b remaining)

Error of 3.1b against oracle of 0.2b and baseline of 2.8b

bsearch329.0ms

Steps
ItersRangePoint
7
3.3884213462890913e-302
2.107976668854902e-300
4.306601193878863e-301
9
-2.199283698990741e-111
-7.483129203032891e-120
-3.4493481904395587e-112

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09474
19474
done9474

end0.0ms

sample2.0s

Algorithm
intervals
Results
540.0ms8000×body80valid
507.0ms8064×body80nan