Details

Time bar (total: 7.4s)

sample25.0ms

Algorithm
intervals
Results
10.0ms360×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
099
1159
2269
3498
4898
51408
61868
72328
83078
93988
106308
118408
129678
139938
done9938

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.3b
(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y a) (- z t) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ y a) (- z t) x)

simplify478.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
024154
141154
292138
3221123
41092123
done5000123

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- z t) x))
3.3b
(fma (/ y a) (- z t) x)
3.3b
(fma (/ y a) (- z t) x)
3.3b
(fma (/ y a) (- z t) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y a) (- z t) x))
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)

series303.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (fma (/ y a) (- z t) x))
41.0ms
(fma (/ y a) (- z t) x)
44.0ms
(fma (/ y a) (- z t) x)
42.0ms
(fma (/ y a) (- z t) x)

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (423.0ms)

IterNodesCost
061683
1118678
2285611
3967559
44641546
done5000546

prune156.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

3.3b
(fma (/ y a) (- z t) x)
3.3b
(fma (/ y a) (- z t) x)
3.3b
(fma (/ y a) (- z t) x)
3.3b
(fma (/ y a) (- z t) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)
0.0ms
(fma (/ y a) (- z t) x)

series170.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma (/ y a) (- z t) x)
41.0ms
(fma (/ y a) (- z t) x)
41.0ms
(fma (/ y a) (- z t) x)
43.0ms
(fma (/ y a) (- z t) x)

simplify491.0ms

Counts
52 → 52
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
024616
141616
292552
3221492
41092492
done5000492

prune183.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
associate-*r/
expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
5.0ms
(+ x (/ (* y (- z t)) a))
11.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series133.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (/ (* y (- z t)) a))
35.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify845.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
01701262
13921055
21523857
done5000857

prune168.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

36.8% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042
12442
done2442

end0.0ms

sample621.0ms

Algorithm
intervals
Results
299.0ms10683×body80valid