Details

Time bar (total: 11.8s)

sample51.0ms

Algorithm
intervals
Results
22.0ms360×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
93428
81087
7422
6248
5170
499
348
225
114
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.1b
(fma (- z x) (/ y t) 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:
0.0ms
(fma (- z x) (/ y t) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(fma (- z x) (/ y t) x)

simplify1.8s

Counts
13 → 13
Iterations
IterNodes
done5000
41609
3267
288
140
023

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- z x) (/ y t) x))
2.1b
(fma (- z x) (/ y t) x)
2.1b
(fma (- z x) (/ y t) x)
2.1b
(fma (- z x) (/ y t) x)

rewrite9.0ms

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 (- z x) (/ y t) x))
5.0ms
(fma (- z x) (/ y t) x)
0.0ms
(fma (- z x) (/ y t) x)
1.0ms
(fma (- z x) (/ y t) x)

series361.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (fma (- z x) (/ y t) x))
50.0ms
(fma (- z x) (/ y t) x)
36.0ms
(fma (- z x) (/ y t) x)
47.0ms
(fma (- z x) (/ y t) x)

simplify1.1s

Counts
55 → 55
Iterations
IterNodes
done5000
31114
2283
1117
060

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

2.1b
(fma (- z x) (/ y t) x)
2.1b
(fma (- z x) (/ y t) x)
2.1b
(fma (- z x) (/ y t) x)
2.1b
(fma (- z x) (/ y t) 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 (- z x) (/ y t) x)
0.0ms
(fma (- z x) (/ y t) x)
0.0ms
(fma (- z x) (/ y t) x)
0.0ms
(fma (- z x) (/ y t) x)

series175.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (- z x) (/ y t) x)
36.0ms
(fma (- z x) (/ y t) x)
48.0ms
(fma (- z x) (/ y t) x)
49.0ms
(fma (- z x) (/ y t) x)

simplify1.8s

Counts
52 → 52
Iterations
IterNodes
done5000
41609
3267
288
140
023

prune461.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.1b
(/ (* y (- z x)) t)

rewrite81.0ms

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-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*l* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
15.0ms
(+ x (/ (* y (- z x)) t))
42.0ms
(* y (- z x))
19.0ms
(/ (* y (- z x)) t)

series174.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (/ (* y (- z x)) t))
45.0ms
(* y (- z x))
77.0ms
(/ (* y (- z x)) t)

simplify1.5s

Counts
97 → 97
Iterations
IterNodes
done5001
21856
1431
0167

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes344.0ms

Accuracy

16.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch107.0ms

Steps
ItersRangePoint
7
7.311587639460328e-112
1.6953135134700687e-110
1.3134564363836838e-110
5
-6.192758416488176e+24
-2.95044528942059e+24
-5.631930325664137e+24

simplify8.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.0s

Algorithm
intervals
Results
578.0ms10715×body80valid