Details

Time bar (total: 9.6s)

sample35.0ms

Algorithm
intervals
Results
13.0ms365×body80valid

simplify986.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (60.0ms)

IterNodesCost
099
1169
2329
3719
41489
52208
63078
74038
84578
95558
105718
done5718

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

1.8b
(fma (/ y a) (- t z) 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:
1.0ms
(fma (/ y a) (- t z) x)

series62.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(fma (/ y a) (- t z) x)

simplify911.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
024154
141154
294138
3269123
41175123
done5000123

prune64.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
1.8b
(fma (/ y a) (- t z) x)
1.8b
(fma (/ y a) (- t z) x)
1.8b
(fma (/ y a) (- t z) x)

rewrite4.0ms

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) (- t z) x))
0.0ms
(fma (/ y a) (- t z) x)
1.0ms
(fma (/ y a) (- t z) x)
1.0ms
(fma (/ y a) (- t z) x)

series471.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (fma (/ y a) (- t z) x))
72.0ms
(fma (/ y a) (- t z) x)
69.0ms
(fma (/ y a) (- t z) x)
59.0ms
(fma (/ y a) (- t z) x)

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
061683
1118678
2287611
3922559
43677548
done5000548

prune213.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b
(fma (/ y a) (- t z) x)
1.8b
(fma (/ y a) (- t z) x)
1.8b
(fma (/ y a) (- t z) x)
1.8b
(fma (/ y a) (- t z) 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) (- t z) x)
1.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)

series222.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma (/ y a) (- t z) x)
67.0ms
(fma (/ y a) (- t z) x)
55.0ms
(fma (/ y a) (- t z) x)
51.0ms
(fma (/ y a) (- t z) x)

simplify861.0ms

Counts
52 → 52
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
024616
141616
294552
3269492
41175492
done5000492

prune183.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
6.3b
(/ (* y (- z t)) a)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
associate-*r/ div-inv
expm1-log1p-u sub-neg flip3-- fma-neg associate-*l* associate-/r* flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
frac-2neg diff-log pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
23.0ms
(* y (- z t))
10.0ms
(- x (/ (* y (- z t)) a))
24.0ms
(/ (* y (- z t)) a)

series211.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* y (- z t))
80.0ms
(- x (/ (* y (- z t)) a))
79.0ms
(/ (* y (- z t)) a)

simplify1.1s

Counts
120 → 120
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02242333
15031853
214481469
done50011292

prune236.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes363.0ms

Accuracy

80.6% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02047
12837
done2837

end0.0ms

sample1.1s

Algorithm
intervals
Results
442.0ms10775×body80valid