Details

Time bar (total: 16.1s)

sample64.0ms

Algorithm
intervals
Results
42.0ms374×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done1440
71440
61408
51172
4671
3269
286
126
013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize37.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
4.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down insert-posit16 associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-sub associate-*l* *-commutative div-inv
Counts
3 → 57
Calls
3 calls:
20.0ms
(- (* x y) (* (* z 9.0) t))
28.0ms
(* (* z 9.0) t)
36.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series217.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* x y) (* (* z 9.0) t))
34.0ms
(* (* z 9.0) t)
112.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify2.6s

Counts
66 → 66
Iterations
IterNodes
done5005
34820
21150
1332
0119

prune323.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.2b
(- (* x y) (* z (* 9.0 t)))
4.9b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down insert-posit16 associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg diff-log div-sub associate-*r* *-commutative div-inv
Counts
3 → 57
Calls
3 calls:
22.0ms
(* z (* 9.0 t))
18.0ms
(- (* x y) (* z (* 9.0 t)))
18.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series173.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* z (* 9.0 t))
65.0ms
(- (* x y) (* z (* 9.0 t)))
88.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify2.6s

Counts
66 → 66
Iterations
IterNodes
done5017
34553
21126
1319
0117

prune396.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
3.3b
(/ (* t z) a)
5.4b
(/ (* x y) a)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod add-log-exp
5×associate-*r/
4×insert-posit16
3×associate-*l* div-inv
2×clear-num frac-2neg associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 87
Calls
4 calls:
17.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
17.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

series235.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
29.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify1.3s

Counts
99 → 99
Iterations
IterNodes
done5002
21648
1405
0148

prune588.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.2b
(- (* x y) (* z (* 9.0 t)))
4.9b
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
13×prod-exp
10×pow1
9×add-sqr-sqrt
8×associate-*r*
7×*-un-lft-identity add-cube-cbrt cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×times-frac flip3-- insert-posit16 flip--
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ *-commutative
1×sub-neg diff-log associate-*r/ un-div-inv div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
13.0ms
(* z (* 9.0 t))
11.0ms
(- (* x y) (* z (* 9.0 t)))
50.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* z (* 9.0 t))
78.0ms
(- (* x y) (* z (* 9.0 t)))
92.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify1.2s

Counts
78 → 78
Iterations
IterNodes
done5002
21274
1378
0145

prune376.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes839.0ms

Accuracy

19.9% (5.1b remaining)

Error of 5.6b against oracle of 0.4b and baseline of 6.8b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done38
138
027

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s11124×body80valid