Details

Time bar (total: 26.4s)

sample101.0ms

Algorithm
intervals
Results
42.0ms391×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01819
13819
210019
332118
498818
5263618
done500016

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (* x 9.0) b)
0.2b
(* (* a 4.0) t)
3.9b
(/ (fma y (* x 9.0) b) z)
11.0b
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×add-exp-log add-cbrt-cube
9×pow1
6×associate-/r* associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
1×flip3-- div-sub associate-*l* *-commutative flip-- fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma y (* x 9.0) b)
27.0ms
(* (* a 4.0) t)
10.0ms
(/ (fma y (* x 9.0) b) z)
112.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series505.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma y (* x 9.0) b)
39.0ms
(* (* a 4.0) t)
115.0ms
(/ (fma y (* x 9.0) b) z)
295.0ms
(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.7s

Counts
103 → 103
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01741562
13801526
216881391
done50001383

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a 4.0) t)
4.6b
(/ b (* z c))
8.2b
(/ (* (* a 4.0) t) c)
11.4b
(/ (* x y) (* z c))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
7×times-frac
5×associate-/r* associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num div-inv
1×associate-*l* *-commutative
Counts
4 → 91
Calls
4 calls:
33.0ms
(* (* a 4.0) t)
15.0ms
(/ b (* z c))
40.0ms
(/ (* (* a 4.0) t) c)
36.0ms
(/ (* x y) (* z c))

series192.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (* a 4.0) t)
35.0ms
(/ b (* z c))
52.0ms
(/ (* (* a 4.0) t) c)
61.0ms
(/ (* x y) (* z c))

simplify1.9s

Counts
103 → 103
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0163945
1425919
22635751
done5000747

prune945.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a 4.0) t)
4.6b
(/ b (* z c))
8.2b
(/ (* (* a 4.0) t) c)
11.2b
(* (/ x z) (/ y c))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log add-sqr-sqrt add-cbrt-cube
28×times-frac
23×add-cube-cbrt *-un-lft-identity
16×associate-*r*
14×associate-*l*
11×pow1 prod-exp cbrt-unprod
9×cbrt-undiv div-exp
4×expm1-log1p-u pow-prod-down associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/
Counts
4 → 120
Calls
4 calls:
29.0ms
(* (* a 4.0) t)
18.0ms
(/ b (* z c))
37.0ms
(/ (* (* a 4.0) t) c)
39.0ms
(* (/ x z) (/ y c))

series165.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* a 4.0) t)
32.0ms
(/ b (* z c))
52.0ms
(/ (* (* a 4.0) t) c)
48.0ms
(* (/ x z) (/ y c))

simplify2.7s

Counts
132 → 132
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02231241
16181205
235671039
done50001023

prune1.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (* (/ x z) (/ y c)) (/ b (* z c)))
4.6b
(/ b (* z c))
8.2b
(/ (* a (* 4.0 t)) c)
11.2b
(* (/ x z) (/ y c))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×add-exp-log add-cbrt-cube
28×times-frac
22×add-cube-cbrt *-un-lft-identity
13×associate-*r* associate-*l*
9×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
6×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 110
Calls
4 calls:
1.0ms
(fma 9.0 (* (/ x z) (/ y c)) (/ b (* z c)))
21.0ms
(/ b (* z c))
33.0ms
(/ (* a (* 4.0 t)) c)
42.0ms
(* (/ x z) (/ y c))

series281.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(fma 9.0 (* (/ x z) (/ y c)) (/ b (* z c)))
42.0ms
(/ b (* z c))
47.0ms
(/ (* a (* 4.0 t)) c)
52.0ms
(* (/ x z) (/ y c))

simplify2.0s

Counts
122 → 122
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02231308
16111274
231721102
done50001084

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes3.7s

Accuracy

31.8% (8.7b remaining)

Error of 8.8b against oracle of 0.1b and baseline of 12.8b

bsearch3.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
058172
173172
done73172

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.4s12943×body80valid