Details

Time bar (total: 18.7s)

sample90.0ms

Algorithm
intervals
Results
41.0ms386×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01819
13819
210019
332118
498818
5263618
done500016

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.1b
(fma y (* x 9.0) b)
2.9b
(/ (fma y (* x 9.0) b) z)
9.6b
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×fma-neg prod-diff
8×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub fma-udef
Counts
4 → 111
Calls
4 calls:
35.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
1.0ms
(fma y (* x 9.0) b)
9.0ms
(/ (fma y (* x 9.0) b) z)
61.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series622.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
42.0ms
(fma y (* x 9.0) b)
82.0ms
(/ (fma y (* x 9.0) b) z)
256.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts
123 → 123
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01702305
13882243
217582065
done50012006

prune609.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.6b
(/ b (* z c))
4.8b
(/ (* t a) c)
8.8b
(/ (* x y) (* z c))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
6×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
1×fma-udef
Counts
4 → 79
Calls
4 calls:
1.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
8.0ms
(/ b (* z c))
17.0ms
(/ (* t a) c)
13.0ms
(/ (* x y) (* z c))

series201.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
29.0ms
(/ b (* z c))
36.0ms
(/ (* t a) c)
31.0ms
(/ (* x y) (* z c))

simplify1.2s

Counts
91 → 91
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0148914
1360893
21891741
done5001739

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (* z c) y)
4.6b
(/ b (* z c))
4.8b
(/ (* t a) c)
6.3b
(/ x (/ (* z c) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/r/
Counts
4 → 119
Calls
4 calls:
11.0ms
(/ (* z c) y)
18.0ms
(/ b (* z c))
11.0ms
(/ (* t a) c)
16.0ms
(/ x (/ (* z c) y))

series162.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (* z c) y)
37.0ms
(/ b (* z c))
25.0ms
(/ (* t a) c)
63.0ms
(/ x (/ (* z c) y))

simplify1.3s

Counts
131 → 131
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02061247
15111208
226451074
done50011056

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (* z c) y)
4.6b
(/ b (* z c))
4.9b
(* (* t a) (/ 1 c))
6.3b
(/ x (/ (* z c) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×add-exp-log
35×add-cbrt-cube
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×prod-exp
13×div-exp associate-*r*
11×cbrt-undiv associate-/r*
9×pow1 cbrt-unprod
8×div-inv
7×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg pow-prod-down clear-num
2×rec-exp 1-exp
1×associate-*r/ associate-*l* associate-/r/ un-div-inv *-commutative
Counts
4 → 136
Calls
4 calls:
10.0ms
(/ (* z c) y)
8.0ms
(/ b (* z c))
63.0ms
(* (* t a) (/ 1 c))
20.0ms
(/ x (/ (* z c) y))

series186.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* z c) y)
38.0ms
(/ b (* z c))
43.0ms
(* (* t a) (/ 1 c))
79.0ms
(/ x (/ (* z c) y))

simplify2.7s

Counts
148 → 148
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02391476
16391382
236451171
done50011153

prune905.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

58.3% (4.3b remaining)

Error of 4.4b against oracle of 0.1b and baseline of 10.4b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047219
159219
done59219

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.2s12741×body80valid