Details

Time bar (total: 14.6s)

sample26.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
61582
5409
4172
371
232
116
09

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y a) (- t z) x)

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(fma (/ y a) (- t z) x)

simplify2.3s

Counts
13 → 13
Iterations
IterNodes
done5000
41994
3284
294
141
024

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y a) (- t z) x))
2.4b
(fma (/ y a) (- t z) x)
2.4b
(fma (/ y a) (- t z) x)
2.4b
(fma (/ y a) (- t z) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×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)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)

series468.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt (fma (/ y a) (- t z) x))
69.0ms
(fma (/ y a) (- t z) x)
78.0ms
(fma (/ y a) (- t z) x)
67.0ms
(fma (/ y a) (- t z) x)

simplify1.2s

Counts
55 → 55
Iterations
IterNodes
done5000
31130
2289
1118
061

prune496.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

2.4b
(fma (/ y a) (- t z) x)
2.4b
(fma (/ y a) (- t z) x)
2.4b
(fma (/ y a) (- t z) x)
2.4b
(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
0.0ms
(fma (/ y a) (- t z) x)
1.0ms
(fma (/ y a) (- t z) x)

series240.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (/ y a) (- t z) x)
57.0ms
(fma (/ y a) (- t z) x)
60.0ms
(fma (/ y a) (- t z) x)
67.0ms
(fma (/ y a) (- t z) x)

simplify2.2s

Counts
52 → 52
Iterations
IterNodes
done5000
41994
3284
294
141
024

prune407.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
8.0b
(/ (* y (- z t)) a)

rewrite101.0ms

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-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/ div-inv
3×expm1-log1p-u associate-/r* sub-neg flip3-- fma-neg associate-*l* log1p-expm1-u flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
1×clear-num frac-2neg diff-log pow-prod-down *-commutative associate-/l* unswap-sqr
Counts
3 → 111
Calls
3 calls:
43.0ms
(* y (- z t))
17.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(/ (* y (- z t)) a)

series188.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* y (- z t))
69.0ms
(- x (/ (* y (- z t)) a))
80.0ms
(/ (* y (- z t)) a)

simplify1.6s

Counts
120 → 120
Iterations
IterNodes
done5001
22657
1572
0224

prune584.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes995.0ms

Accuracy

64.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch129.0ms

Steps
ItersRangePoint
9
2.643073849387056e-66
3.396560062233292e-59
1.5104912932067648e-64
8
-2.7256406179108798e+41
-4.685004546979207e+38
-1.4367130729251001e+41

simplify5.0ms

Iterations
IterNodes
done24
124
023

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s10620×body80valid