Details

Time bar (total: 13.6s)

sample50.0ms

Algorithm
intervals
Results
17.0ms348×body80valid

simplify1.5s

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

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

3.0b
(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)

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(fma (/ y a) (- t z) x)

simplify2.5s

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

prune106.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y a) (- t z) x))
3.0b
(fma (/ y a) (- t z) x)
3.0b
(fma (/ y a) (- t z) x)
3.0b
(fma (/ y a) (- t z) x)

rewrite2.0ms

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)

series461.0ms

Counts
4 → 12
Calls
4 calls:
286.0ms
(cbrt (fma (/ y a) (- t z) x))
58.0ms
(fma (/ y a) (- t z) x)
64.0ms
(fma (/ y a) (- t z) x)
53.0ms
(fma (/ y a) (- t z) x)

simplify1.0s

Counts
55 → 55
Iterations
IterNodes
done5000
31130
2289
1118
061

prune357.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

3.0b
(fma (/ y a) (- t z) x)
3.0b
(fma (/ y a) (- t z) x)
3.0b
(fma (/ y a) (- t z) x)
3.0b
(fma (/ y a) (- t z) x)

rewrite2.0ms

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

series255.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(fma (/ y a) (- t z) x)
64.0ms
(fma (/ y a) (- t z) x)
61.0ms
(fma (/ y a) (- t z) x)
52.0ms
(fma (/ y a) (- t z) x)

simplify2.0s

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

prune402.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:
18.0ms
(- x (/ (* y (- z t)) a))
18.0ms
(* y (- z t))
25.0ms
(/ (* y (- z t)) a)

series208.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- x (/ (* y (- z t)) a))
57.0ms
(* y (- z t))
72.0ms
(/ (* y (- z t)) a)

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5000
22639
1572
0224

prune544.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

89.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done24
124
023

end0.0ms

sample1.3s

Algorithm
intervals
Results
586.0ms10689×body80valid