Details

Time bar (total: 20.2s)

sample76.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
20.0ms288×body80nan

simplify737.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210533
333133
4128133
done500033

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
1.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b
(/ (* z (sqrt (+ t a))) t)

rewrite44.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
20.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series342.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
179.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: 2 (337.0ms)

IterNodesCost
03442616
110142408
245212288
done50002288

prune558.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite79.0ms

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:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
41.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
27.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series700.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt t)
188.0ms
(cbrt t)
106.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
218.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify517.0ms

Counts
181 → 181
Iterations

Useful iterations: done (506.0ms)

IterNodesCost
04866783
117386293
done50006215

prune990.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
4.1b
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.9b
(log (exp (cbrt t)))

rewrite40.0ms

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:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
32.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.0ms
(log (exp (cbrt t)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
171.0ms
(cbrt t)
215.0ms
(- (* (/ z (* (cbrt t) (log (exp (cbrt t))))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
172.0ms
(log (exp (cbrt t)))

simplify383.0ms

Counts
112 → 112
Iterations

Useful iterations: done (378.0ms)

IterNodesCost
03515244
112804709
done50004704

prune746.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))
4.1b
(- (* b b) (* c c))
6.9b
(- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
20.2b
(/ (- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (cbrt t) (+ b c)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
839×associate-*r/
722×frac-times
680×frac-sub
441×flip3-+ flip-+
340×sqrt-div
294×associate-*l/
275×flip3-- flip--
240×associate-/l/
18×add-exp-log add-sqr-sqrt
15×add-cbrt-cube
12×distribute-rgt-in *-un-lft-identity distribute-lft-in associate--r+
10×add-cube-cbrt
8×times-frac add-log-exp
7×associate-*r* associate-*l*
6×pow1 sub-neg sqrt-prod
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate--l+ unswap-sqr
3×associate-/l*
2×diff-log associate-/r/ div-inv
1×frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative distribute-lft-out difference-of-squares
Counts
4 → 577
Calls
4 calls:
21.0ms
(* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))
3.0ms
(- (* b b) (* c c))
75.0ms
(- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
157.0ms
(/ (- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (cbrt t) (+ b c)))

series2.5s

Counts
4 → 12
Calls
4 calls:
260.0ms
(* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))
38.0ms
(- (* b b) (* c c))
1.1s
(- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
1.2s
(/ (- (* (+ b c) (* (sqrt (+ t a)) (/ z (* (cbrt t) (cbrt t))))) (* (cbrt t) (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* (cbrt t) (+ b c)))

simplify474.0ms

Counts
589 → 589
Iterations

Useful iterations: done (420.0ms)

IterNodesCost
0157549758
done500049753

prune7.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

17% (1.9b remaining)

Error of 2.5b against oracle of 0.7b and baseline of 2.9b

bsearch479.0ms

Steps
ItersRangePoint
6
1.775018111834674e-305
2.644467685002146e-304
1.1526597656514836e-304
7
-5.629101650531538e-105
-2.540571923344581e-106
-9.84457129409398e-106

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
057166
179127
done79127

end0.0ms

sample1.8s

Algorithm
intervals
Results
613.0ms8000×body80valid
543.0ms7787×body80nan