Details

Time bar (total: 19.0s)

sample86.0ms

Algorithm
intervals
Results
48.0ms422×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
51681
4803
3296
298
138
018

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(fma (* y 9.0) x b)
1.5b
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.5b
(/ (fma (* y 9.0) x b) z)
12.0b
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×fma-neg prod-diff
8×add-cbrt-cube add-exp-log
6×associate-/r* associate-/l* add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
0.0ms
(fma (* y 9.0) x b)
27.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms
(/ (fma (* y 9.0) x b) z)
70.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series575.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(fma (* y 9.0) x b)
227.0ms
(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
97.0ms
(/ (fma (* y 9.0) x b) z)
198.0ms
(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.2s

Counts
123 → 123
Iterations
IterNodes
done5001
21252
1389
0170

prune936.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
3.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))
8.2b
(/ (* t a) c)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
44×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
12×add-sqr-sqrt cbrt-undiv div-exp
10×*-un-lft-identity add-cube-cbrt
8×times-frac
6×pow1
5×associate-/r* associate-*r* associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 100
Calls
4 calls:
22.0ms
(* 9.0 (/ (* x y) (* z c)))
6.0ms
(/ b (* z c))
15.0ms
(/ (* x y) (* z c))
7.0ms
(/ (* t a) c)

series141.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 9.0 (/ (* x y) (* z c)))
23.0ms
(/ b (* z c))
49.0ms
(/ (* x y) (* z c))
23.0ms
(/ (* t a) c)

simplify1.5s

Counts
112 → 112
Iterations
IterNodes
done5001
21928
1431
0168

prune781.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 1.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt c) (cbrt c))
3.5b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
3.5b
(/ b (* z c))
8.2b
(/ (* x y) (* z c))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
44×add-exp-log
35×add-cbrt-cube
32×times-frac
29×*-un-lft-identity add-cube-cbrt
28×associate-*r*
27×cbrt-prod
14×prod-exp cbrt-unprod
13×pow1 cbrt-undiv div-exp associate-*l*
10×unswap-sqr
6×pow1/3 swap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
3×pow-prod-down
2×clear-num associate-/r* frac-2neg pow-sqr *-commutative pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ associate-*r/
Counts
4 → 149
Calls
4 calls:
252.0ms
(* (cbrt c) (cbrt c))
35.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0ms
(/ b (* z c))
10.0ms
(/ (* x y) (* z c))

series336.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (cbrt c) (cbrt c))
58.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
24.0ms
(/ b (* z c))
33.0ms
(/ (* x y) (* z c))

simplify1.6s

Counts
161 → 161
Iterations
IterNodes
done5004
23222
1716
0254

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
3.5b
(/ b (* z c))
4.5b
(/ (* z c) y)
5.7b
(/ x (/ (* z c) y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×*-un-lft-identity add-cube-cbrt
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
11×cbrt-prod associate-/r* prod-exp cbrt-unprod
9×div-inv
7×associate-*l* associate-/l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 157
Calls
4 calls:
52.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0ms
(/ b (* z c))
13.0ms
(/ (* z c) y)
8.0ms
(/ x (/ (* z c) y))

series142.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
22.0ms
(/ b (* z c))
21.0ms
(/ (* z c) y)
39.0ms
(/ x (/ (* z c) y))

simplify1.5s

Counts
169 → 169
Iterations
IterNodes
done5007
23090
1798
0287

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

regimes1.6s

Accuracy

6.7% (9.4b remaining)

Error of 9.4b against oracle of 0.1b and baseline of 10.1b

bsearch550.0ms

Steps
ItersRangePoint
8
2.0602050205707964e+71
8.652663385127472e+73
3.444271540187472e+71
7
1.8387847543673071e-90
2.511278632061513e-88
1.861603601865104e-89
8
1.2204302231847305e-179
1.2406466551225496e-176
1.8914614098969398e-179
9
1.2952494237087118e-259
4.316504064604054e-250
1.2492372496747776e-250
8
-4.920893277595356e-134
-1.3050798034341716e-137
-5.317803398975145e-135

simplify20.0ms

Iterations
IterNodes
done96
196
073

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.7s12704×body80valid