Details

Time bar (total: 18.9s)

sample61.0ms

Algorithm
intervals
Results
32.0ms356×body80valid

simplify3.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite70.0ms

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:
11.0ms
(- (* x y) (* (* z 9.0) t))
28.0ms
(* (* z 9.0) t)
29.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series240.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- (* x y) (* (* z 9.0) t))
31.0ms
(* (* z 9.0) t)
110.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts
74 → 74
Iterations
IterNodes
done5002
21260
1355
0130

prune549.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.1b

localize52.0ms

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))
4.4b
(/ (* t z) a)
5.2b
(/ (* x y) a)

rewrite94.0ms

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:
37.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
11.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

series272.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(/ (* t z) a)
28.0ms
(/ (* x y) a)

simplify2.0s

Counts
109 → 109
Iterations
IterNodes
done5002
21755
1436
0161

prune636.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.3b
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
30×add-exp-log
25×times-frac
20×*-un-lft-identity add-cbrt-cube
18×add-cube-cbrt
16×associate-*r*
14×associate-*l*
11×prod-exp
10×pow1
8×div-exp
7×cbrt-unprod
6×unswap-sqr
5×add-log-exp
4×cbrt-undiv pow-prod-down
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×rec-exp 1-exp *-commutative div-inv
1×frac-times sub-neg flip3-- fma-neg diff-log prod-diff associate-*l/ associate-*r/ flip--
Counts
3 → 97
Calls
3 calls:
9.0ms
(- (* x y) (* (* z 9.0) t))
30.0ms
(* (* z 9.0) t)
59.0ms
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series299.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- (* x y) (* (* z 9.0) t))
23.0ms
(* (* z 9.0) t)
186.0ms
(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify1.7s

Counts
106 → 106
Iterations
IterNodes
done5001
21737
1538
0193

prune683.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* t 9.0)))
0.2b
(* z (* t 9.0))
6.3b
(/ (- (* x y) (* z (* t 9.0))) a)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×add-cbrt-cube add-exp-log
9×times-frac
8×pow1
5×add-log-exp
3×expm1-log1p-u associate-/r* associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u associate-/l*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp associate-*r* prod-diff *-commutative div-inv
Counts
3 → 71
Calls
3 calls:
10.0ms
(- (* x y) (* z (* t 9.0)))
20.0ms
(* z (* t 9.0))
33.0ms
(/ (- (* x y) (* z (* t 9.0))) a)

series201.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(- (* x y) (* z (* t 9.0)))
22.0ms
(* z (* t 9.0))
76.0ms
(/ (- (* x y) (* z (* t 9.0))) a)

simplify3.1s

Counts
80 → 80
Iterations
IterNodes
done5000
34675
21090
1314
0126

prune509.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.2b

regimes1.5s

Accuracy

43.4% (4.0b remaining)

Error of 4.4b against oracle of 0.5b and baseline of 7.5b

bsearch1.0ms

simplify12.0ms

Iterations
IterNodes
done55
355
252
149
037

end0.0ms

sample1.3s

Algorithm
intervals
Results
942.0ms11150×body80valid