Details

Time bar (total: 19.4s)

sample82.0ms

Algorithm
intervals
Results
55.0ms374×body80valid

simplify4.0s

Counts
1 → 1
Iterations
IterNodes
done1597
81597
71569
61531
51250
4720
3283
288
127
013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize36.0ms

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))

rewrite88.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff *-commutative div-inv
Counts
3 → 65
Calls
3 calls:
8.0ms
(- (* x y) (* (* z 9.0) t))
32.0ms
(* (* z 9.0) t)
46.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series270.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- (* x y) (* (* z 9.0) t))
45.0ms
(* (* z 9.0) t)
127.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts
74 → 74
Iterations
IterNodes
done5002
21260
1355
0130

prune461.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize28.0ms

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))

rewrite50.0ms

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×expm1-log1p-u times-frac associate-*l* pow-prod-down insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub associate-*r* prod-diff *-commutative div-inv
Counts
3 → 65
Calls
3 calls:
20.0ms
(* z (* 9.0 t))
9.0ms
(- (* x y) (* z (* 9.0 t)))
20.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series192.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* z (* 9.0 t))
78.0ms
(- (* x y) (* z (* 9.0 t)))
83.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify3.0s

Counts
74 → 74
Iterations
IterNodes
done5000
34819
21274
1345
0128

prune485.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (- (* z (* 9.0 t))))
0.2b
(* z (* 9.0 t))
4.9b
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
8×pow1
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*l* pow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg associate-*r* *-commutative fma-udef div-inv
Counts
3 → 56
Calls
3 calls:
0.0ms
(fma x y (- (* z (* 9.0 t))))
25.0ms
(* z (* 9.0 t))
22.0ms
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

series278.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(fma x y (- (* z (* 9.0 t))))
40.0ms
(* z (* 9.0 t))
144.0ms
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

simplify2.1s

Counts
65 → 65
Iterations
IterNodes
done5002
32901
2742
1235
0107

prune420.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize44.0ms

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)

rewrite78.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*l* div-inv
2×clear-num frac-2neg associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 97
Calls
4 calls:
25.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
14.0ms
(* 4.5 (/ (* t z) a))
10.0ms
(/ (* t z) a)
27.0ms
(/ (* x y) a)

series317.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
44.0ms
(* 4.5 (/ (* t z) a))
41.0ms
(/ (* t z) a)
32.0ms
(/ (* x y) a)

simplify1.6s

Counts
109 → 109
Iterations
IterNodes
done5002
21755
1436
0161

prune701.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.2b

regimes930.0ms

Accuracy

19.9% (5.1b remaining)

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

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done37
137
027

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.0s11124×body80valid