Details

Time bar (total: 1.5m)

sample166.0ms

Algorithm
intervals
Results
73.0ms257×body80nan
53.0ms256×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
55020
41334
3350
2100
150
028

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.6b
(/ (* z (sqrt (+ t a))) t)

rewrite124.0ms

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 insert-posit16 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 → 105
Calls
4 calls:
31.0ms
(* z (sqrt (+ t a)))
13.0ms
(/ 2.0 (* t 3.0))
60.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
18.0ms
(/ (* z (sqrt (+ t a))) t)

series486.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ 2.0 (* t 3.0))
260.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
136.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.9s

Counts
117 → 117
Iterations
IterNodes
24466
11031
0350

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite155.0ms

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
4×insert-posit16
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 → 173
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
77.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
67.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
297.0ms
(cbrt t)
319.0ms
(cbrt t)
183.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
352.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify4.3s

Counts
185 → 185
Iterations
IterNodes
28957
11854
0491

prune5.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.6b
(/ (* z (sqrt (+ t a))) t)
49.0b
(posit16->real (real->posit16 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
14×add-cbrt-cube add-exp-log
9×flip3-- flip--
8×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt
6×times-frac associate-*r/ associate--r+ add-log-exp
4×pow1 cbrt-undiv associate-/r* flip3-+ div-exp flip-+ insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×clear-num frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ cbrt-unprod div-inv associate-/l/
1×diff-log remove-posit16
Counts
4 → 88
Calls
4 calls:
11.0ms
(/ 2.0 (* t 3.0))
45.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms
(/ (* z (sqrt (+ t a))) t)
1.0ms
(posit16->real (real->posit16 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ 2.0 (* t 3.0))
314.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
146.0ms
(/ (* z (sqrt (+ t a))) t)
249.0ms
(posit16->real (real->posit16 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
24157
1946
0314

prune4.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize148.0ms

Local error

Found 4 expressions with local error:

5.4b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
5.8b
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
6.1b
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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)))))
23.8b
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
1708×associate-*l/
1214×associate-*r/
1088×frac-sub
1064×frac-times
998×flip3-- flip--
492×sqrt-div
342×associate-/l/
246×flip3-+ flip-+
77×add-exp-log
68×add-cbrt-cube
45×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
10×cbrt-undiv div-exp
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×sub-neg associate-*l*
4×insert-posit16
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×clear-num associate-/r* frac-2neg diff-log div-sub div-inv difference-of-squares
Counts
4 → 812
Calls
4 calls:
46.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
155.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
591.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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)))))
1.0s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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))))

series5.5s

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
344.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
2.6s
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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)))))
2.4s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- 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))))

simplify12.0s

Counts
824 → 824
Iterations
IterNodes
19519
02187

prune40.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes932.0ms

Accuracy

35.7% (1.0b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.6b

bsearch5.0ms

simplify22.0ms

Iterations
IterNodes
256
156
044

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.7s8039×body80nan
2.4s8000×body80valid