Details

Time bar (total: 18.1s)

sample31.0ms

Algorithm
intervals
Results
16.0ms345×body80valid

simplify51.0ms

Counts
1 → 1
Iterations
IterNodes
done75
575
471
351
235
117
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
6.3b
(/ (- (* x y) (* z t)) a)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 50
Calls
2 calls:
16.0ms
(- (* x y) (* z t))
33.0ms
(/ (- (* x y) (* z t)) a)

series118.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
73.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
56 → 56
Iterations
IterNodes
done5000
32557
2703
1226
090

prune334.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* z t) a))
4.9b
(/ (* x y) a)
5.6b
(/ (* z t) a)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
49×prod-diff
39×add-sqr-sqrt *-un-lft-identity
37×add-cube-cbrt
19×div-inv
13×add-cbrt-cube add-exp-log
7×fma-neg
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 124
Calls
3 calls:
30.0ms
(- (/ (* x y) a) (/ (* z t) a))
20.0ms
(/ (* x y) a)
20.0ms
(/ (* z t) a)

series171.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(- (/ (* x y) a) (/ (* z t) a))
23.0ms
(/ (* x y) a)
26.0ms
(/ (* z t) a)

simplify1.6s

Counts
133 → 133
Iterations
IterNodes
done5001
21629
1511
0199

prune743.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma (/ x 1) (/ y a) (- (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))))
3.9b
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
3.9b
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
50.5b
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
56×times-frac
46×add-exp-log
44×associate-*l*
34×*-un-lft-identity add-cube-cbrt
32×add-cbrt-cube
22×cbrt-prod
16×prod-exp cbrt-unprod
14×cbrt-undiv div-exp associate-*r*
12×unswap-sqr
8×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
2×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 146
Calls
4 calls:
1.0ms
(fma (/ x 1) (/ y a) (- (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))))
80.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
51.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
1.0ms
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(fma (/ x 1) (/ y a) (- (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))))
91.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
70.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
284.0ms
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

simplify1.5s

Counts
158 → 158
Iterations
IterNodes
done5005
21334
1386
0148

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

1.7b
(fma (/ x 1) (/ y a) (- (* (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a)))))))
2.3b
(* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a))))
3.9b
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
50.5b
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
114×add-sqr-sqrt
110×cbrt-prod
104×times-frac
80×associate-*l*
58×*-un-lft-identity add-cube-cbrt
46×add-exp-log
29×add-cbrt-cube
20×unswap-sqr
16×prod-exp cbrt-unprod
14×cbrt-undiv div-exp associate-*r*
8×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
2×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 190
Calls
4 calls:
1.0ms
(fma (/ x 1) (/ y a) (- (* (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a)))))))
107.0ms
(* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a))))
48.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
1.0ms
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
98.0ms
(fma (/ x 1) (/ y a) (- (* (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt a) (cbrt a)))) (* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a)))))))
996.0ms
(* (/ (cbrt t) (cbrt (cbrt a))) (/ z (* (cbrt a) (cbrt a))))
62.0ms
(* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a))))
255.0ms
(fma (- (/ t (cbrt a))) (/ z (* (cbrt a) (cbrt a))) (* (/ t (cbrt a)) (/ z (* (cbrt a) (cbrt a)))))

simplify2.8s

Counts
202 → 202
Iterations
IterNodes
done5001
22741
1799
0279

prune2.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

87.7% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.4b

bsearch1.0ms

simplify16.0ms

Iterations
IterNodes
done76
376
272
159
040

end0.0ms

sample1.2s

Algorithm
intervals
Results
682.0ms11050×body80valid